We discuss the production of <math altimg='si10.svg'><mrow><mi>D</mi><mover accent='true'><mi>D</mi><mo>&#175;</mo></mover></mrow></math> pairs in <math altimg='si2.svg'><mrow><msup><mi>e</mi><mo>+</mo></msup><msup><mi>e</mi><mo>&#8722;</mo></msup></mrow></math> collisions, where <italic>D</italic> refers to either <italic>D</italic> 0 or <math altimg='si30.svg'><msup><mi>D</mi><mo>+</mo></msup></math>. The continuum mechanism with the <italic>t</italic>/ <italic>u</italic>-channel vector-meson <italic>D</italic>* exchanges are considered. The results of the calculation depend on the parameter of the off-shell form-factor for the virtual <italic>D</italic>* mesons. The <italic>D</italic>* <italic>D&#947;</italic> coupling constants are found from the <italic>D</italic>*&#8239;&#8594;&#8239; <italic>D&#947;</italic> decays. We find relatively large contribution for the <math altimg='si4.svg'><mrow><msup><mi>D</mi><mn>0</mn></msup><msup><mrow><mover accent='true'><mi>D</mi><mo>&#175;</mo></mover></mrow><mn>0</mn></msup></mrow></math> channel and much smaller contribution in the <math altimg='si1.svg'><mrow><msup><mi>D</mi><mo>+</mo></msup><msup><mi>D</mi><mo>&#8722;</mo></msup></mrow></math> channel. In the second case we consider also the <italic>D</italic> &#8239;&#177;&#8239; exchanges. We conclude that the bump at <math altimg='si31.svg'><mrow><msub><mi>M</mi><mrow><msup><mi>D</mi><mn>0</mn></msup><msup><mrow><mover accent='true'><mi>D</mi><mo>&#175;</mo></mover></mrow><mn>0</mn></msup></mrow></msub><mo linebreak='goodbreak'>=</mo><mn>3.8</mn></mrow></math> GeV observed by the Belle and BaBar Collaborations has rather continuum origin than it corresponds to the broad resonance <italic>&#967;</italic> <inf><italic>c</italic>0</inf>(3860). We discuss also production of the <italic>&#967;</italic> <inf><italic>c</italic>2</inf>(3930) resonance which is a candidate for the <italic>&#967;</italic> <inf><italic>c</italic>2</inf>(2 <italic>P</italic>) state. This state can decay into both <math altimg='si10.svg'><mrow><mi>D</mi><mover accent='true'><mi>D</mi><mo>&#175;</mo></mover></mrow></math> channels, however the branching fractions are not well known at present. From a comparison of our model results to the BaBar data we find <math altimg='si32.svg'><mrow><mi>B</mi><mo>(</mo><msub><mi>&#967;</mi><mrow><mi>c</mi><mn>2</mn></mrow></msub><mrow><mo>(</mo><mn>3930</mn><mo>)</mo></mrow><mo>&#8594;</mo><mi>D</mi><mover accent='true'><mi>D</mi><mo>&#175;</mo></mover><mo>)</mo><mo>=</mo><mn>0.58</mn><mo>&#177;</mo><mn>0.13</mn></mrow></math> using the two-photon width <math altimg='si33.svg'><mrow><msub><mstyle mathvariant='normal'><mi>&#915;</mi></mstyle><mrow><mi>&#947;</mi><mi>&#947;</mi></mrow></msub><mo linebreak='goodbreak'>=</mo><mn>0.544</mn></mrow></math> keV (obtained for the Buchm&#252;ller-Tye potential) evaluated within the light-front approach (NRQCD limit). Our finding of <math altimg='si34.svg'><mrow><msub><mstyle mathvariant='normal'><mi>&#915;</mi></mstyle><mrow><mi>&#947;</mi><mi>&#947;</mi></mrow></msub><mo linebreak='goodbreak'>&#215;</mo><mi>B</mi><mrow><mo>(</mo><msub><mi>&#967;</mi><mrow><mi>c</mi><mn>2</mn></mrow></msub><mrow><mo>(</mo><mn>3930</mn><mo>)</mo></mrow><mo>&#8594;</mo><mi>D</mi><mover accent='true'><mi>D</mi><mo>&#175;</mo></mover><mo>)</mo></mrow><mo linebreak='goodbreak'>=</mo><mn>0.32</mn><mo>&#177;</mo><mn>0.07</mn></mrow></math> keV is close to the Belle and BaBar results. Realistic predictions of the differential distributions in several variables and integrated cross-sections are given for the Belle II kinematics.

Poland

Izabela Babiarz

Piotr Lebiedowicz

Wolfgang Schäfer

Antoni Szczurek

Competition of <italic>&#967;<inf>c</inf></italic>(2 <italic>P</italic>) quarkonia and continuum in <math altimg='si9.svg'><mrow><msup><mi>e</mi><mo>+</mo></msup><msup><mi>e</mi><mo>&#8722;</mo></msup><mo>&#8594;</mo><msup><mi>e</mi><mo>+</mo></msup><msup><mi>e</mi><mo>&#8722;</mo></msup><mi>D</mi><mover accent='true'><mi>D</mi><mo>&#175;</mo></mover></mrow></math>

This paper presents a detailed analysis of the three-body final state interactions in the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mi>B</mi><mo>+</mo></msup><mo stretchy="false">→</mo><mi>D</mi><mover accent="true"><mi>D</mi><mo stretchy="false">¯</mo></mover><msup><mi>K</mi><mo>+</mo></msup></math> process, whose phase space is sufficient small. To precisely extract the resonance parameters, for instance the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>χ</mi><mrow><mi>c</mi><mn>0</mn><mo>/</mo><mn>2</mn></mrow></msub><mo stretchy="false">(</mo><mn>3930</mn><mo stretchy="false">)</mo></math> in the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>D</mi><mover accent="true"><mi>D</mi><mo stretchy="false">¯</mo></mover></math> invariant mass distributions, in this process, one has to take into account final state interaction, especially the three-body final state interaction. We employ the dispersive Khuri-Treiman formalism, combined with a parametrization of the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>D</mi><mover accent="true"><mi>D</mi><mo stretchy="false">¯</mo></mover></math> interaction based on heavy quark spin symmetry. By performing a simultaneous fit to the experimental data from LHCb, BABAR, and Belle collaborations, the scheme with three-body interaction successfully describes the invariant mass distributions of the three two-body subsystems. We precisely extract the pole structures of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>χ</mi><mrow><mi>c</mi><mn>0</mn></mrow></msub><mo stretchy="false">(</mo><mn>3930</mn><mo stretchy="false">)</mo></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>ψ</mi><mo stretchy="false">(</mo><mn>3770</mn><mo stretchy="false">)</mo></math> as <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mn>3.913</mn><mo>−</mo><mn>0.016</mn><mi>i</mi><mtext> </mtext><mi>GeV</mi></mrow></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mn>3.761</mn><mo>−</mo><mn>0.006</mn><mi>i</mi><mtext> </mtext><mi>GeV</mi></mrow></math> in <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mi>B</mi><mo>+</mo></msup></math> decay. By performing the pole trajectory analysis on a uniformized complex plane, we find that both of them stem from the input bare state.

China

Xin-Yue Hu

Jiahao He

Pengyu Niu

Japan

Qian Wang

Thailand

Yupeng Yan

Three-body final state interactions in <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mi>B</mi><mo>+</mo></msup><mo stretchy="false">→</mo><mi>D</mi><mover accent="true"><mi>D</mi><mo stretchy="false">¯</mo></mover><msup><mi>K</mi><mo>+</mo></msup></math> decays

Inspired by the observation of the ${\eta}_{t}$ meson at the LHC and the promising prospect of the ${\eta}_{t}$ meson available at the approaching HL-LHC, branching ratios for the ${\eta}_{t}$ ${\to}$ $f\bar{f}$ , $gg$ , ${\gamma}{\gamma}$ , $W^{+}W^{-}$ , $Z^{0}Z^{0}$ , $Z^{0}{\gamma}$ , and $Z^{0}H$ decays are roughly estimated. It is found that tens of opposite-charge dilepton events from the ${\eta}_{t}$ ${\to}$ $W^{+}W^{-}$ decay and hundreds of events from the ${\eta}_{t}$ ${\to}$ $Z^{0}H$ ${\to}$ ${\ell}^{+}{\ell}^{-}H$ decay using the single $Z^{0}$ boson tagging method are expected to be accessible. This estimation provides a reference for future experimental study on the ${\eta}_{t}$ meson.

Yueling Yang

Bingbing Yang

Jiazhi Li

Zhaojie Lü

Junfeng Sun

Searching for the toponium ${{\boldsymbol\eta}_{\boldsymbol t}}$ with the ${{\boldsymbol\eta}_{\boldsymbol t}}$ ${\boldsymbol\to}$ ${{\boldsymbol W}^{\bf +}{\boldsymbol W}^{\bf -}}$ decay * Supported by the National Natural Science Foundation of China (12275068, 12275067), the National Key R&D Program of China (2023YFA1606000), the Natural Science Foundation of Henan Province (252300421491, 242300420250), and the Science and Technology R&D Program Joint Fund Project of Henan Province (225200810030), as well as the Science and Technology Innovation Leading Talent Support Program of Henan Province (254200510039)

We study a system made from <math altimg='si6.svg'><mrow><msup><mi>K</mi><mrow><mo>*</mo><mo>+</mo></mrow></msup><msup><mi>D</mi><mrow><mo>*</mo><mo>+</mo></mrow></msup><msup><mi>K</mi><mrow><mo>*</mo><mo>+</mo></mrow></msup></mrow></math> with charge 3, isospin <math altimg='si7.svg'><mrow><mi>I</mi><mo linebreak='goodbreak'>=</mo><mn>3</mn><mo linebreak='goodbreak'>/</mo><mn>2</mn></mrow></math>, spin <math altimg='si8.svg'><mrow><mi>J</mi><mo linebreak='goodbreak'>=</mo><mn>3</mn></mrow></math>, and a quark content of <math altimg='si9.svg'><mrow><mi>c</mi><mover accent='true'><mi>d</mi><mo>&#175;</mo></mover><mover accent='true'><mi>s</mi><mo>&#175;</mo></mover><mi>u</mi><mover accent='true'><mi>s</mi><mo>&#175;</mo></mover><mi>u</mi></mrow></math>, which make it highly exotic relative to the standard <math altimg='si10.svg'><mrow><mi>q</mi><mover accent='true'><mi>q</mi><mo>&#175;</mo></mover></mrow></math> structure of mesons. The interaction of the three body system is obtained starting from a cluster of <math altimg='si11.svg'><mrow><msup><mi>D</mi><mrow><mo>*</mo><mo>+</mo></mrow></msup><msup><mi>K</mi><mrow><mo>*</mo><mo>+</mo></mrow></msup></mrow></math> in <math altimg='si12.svg'><mrow><mi>I</mi><mo linebreak='goodbreak'>=</mo><mn>1</mn></mrow></math> and <math altimg='si13.svg'><mrow><mi>J</mi><mo linebreak='goodbreak'>=</mo><mn>2</mn></mrow></math>, that in different works has been found bound, and adding to it an extra <math altimg='si14.svg'><msup><mi>K</mi><mrow><mo>*</mo><mo>+</mo></mrow></msup></math> with spin aligned with those of the vectors of the cluster. We find that the <italic>K</italic>* <italic>K</italic>* interaction in <math altimg='si12.svg'><mrow><mi>I</mi><mo linebreak='goodbreak'>=</mo><mn>1</mn></mrow></math> and <math altimg='si13.svg'><mrow><mi>J</mi><mo linebreak='goodbreak'>=</mo><mn>2</mn></mrow></math> is repulsive, but its strength is small compared to that of <math altimg='si11.svg'><mrow><msup><mi>D</mi><mrow><mo>*</mo><mo>+</mo></mrow></msup><msup><mi>K</mi><mrow><mo>*</mo><mo>+</mo></mrow></msup></mrow></math> in <math altimg='si12.svg'><mrow><mi>I</mi><mo linebreak='goodbreak'>=</mo><mn>1</mn></mrow></math> and <math altimg='si13.svg'><mrow><mi>J</mi><mo linebreak='goodbreak'>=</mo><mn>2</mn></mrow></math>, such that we find a three body state bound by about 100&#8201;MeV with respect to the mass of a <math altimg='si14.svg'><msup><mi>K</mi><mrow><mo>*</mo><mo>+</mo></mrow></msup></math> and the <math altimg='si11.svg'><mrow><msup><mi>D</mi><mrow><mo>*</mo><mo>+</mo></mrow></msup><msup><mi>K</mi><mrow><mo>*</mo><mo>+</mo></mrow></msup></mrow></math> cluster. The width of the state, of about 10&#8201;MeV, is much smaller than the binding, which facilitates its observation. We suggest to find that state by measuring the invariant mass of <italic>KDK</italic>*, something feasible in present experimental facilities.

Wen-Hao Jia

Pei-Shen Su

Wei-Hong Liang

Spain

Raquel Molina

Eulogio Oset

Superexotic <math altimg='si6.svg'><mrow><msup><mi>K</mi><mrow><mo>*</mo><mo>+</mo></mrow></msup><msup><mi>D</mi><mrow><mo>*</mo><mo>+</mo></mrow></msup><msup><mi>K</mi><mrow><mo>*</mo><mo>+</mo></mrow></msup></mrow></math> bound state

A measurement of $\textit{CP}$ asymmetry in $$ {D}^0\to {K}_{\textrm{S}}^0{K}_{\textrm{S}}^0 $$ decays is reported, based on a data sample of proton-proton collisions collected with the LHCb detector in 2024 at a centre-of-mass energy of 13.6 TeV, corresponding to an integrated luminosity of 6.2 fb . The $$ {D}^0\to {K}_{\textrm{S}}^0{\pi}^{+}{\pi}^{-} $$ decay is used as calibration channel to cancel residual detection and production asymmetries. The time-integrated $\textit{CP}$ asymmetry for the $$ {D}^0\to {K}_{\textrm{S}}^0{K}_{\textrm{S}}^0 $$ mode is measured to be

Netherlands

R. Aaij

United Kingdom

A. Abdelmotteleb

Switzerland

C. Abellan Beteta

F. Abudinén

T. Ackernley

United States

A. Adefisoye

B. Adeva

M. Adinolfi

Sweden

P. Adlarson

France

C. Agapopoulou

C. Aidala

Z. Ajaltouni

S. Akar

K. Akiba

M. Akthar

Italy

P. Albicocco

Germany

J. Albrecht

Lithuania

R. Aleksiejunas

F. Alessio

P. Alvarez Cartelle

R. Amalric

Brazil

S. Amato

J. Amey

Y. Amhis

L. An

L. Anderlini

M. Andersson

P. Andreola

M. Andreotti

S. Andres Estrada

A. Anelli

D. Ao

C. Arata

F. Archilli

Z. Areg

M. Argenton

Costa Rica

S. Arguedas Cuendis

L. Arnone

A. Artamonov

M. Artuso

E. Aslanides

R. Ataíde Da Silva

M. Atzeni

B. Audurier

J. Authier

D. Bacher

I. Bachiller Perea

S. Bachmann

M. Bachmayer

J. Back

P. Baladron Rodriguez

V. Balagura

A. Balboni

W. Baldini

Z. Baldwin

L. Balzani

H. Bao

J. Baptista de Souza Leite

C. Barbero Pretel

M. Barbetti

I. Barbosa

R. Barlow

M. Barnyakov

S. Barsuk

W. Barter

J. Bartz

S. Bashir

B. Batsukh

P. Battista

A. Bay

A. Beck

M. Becker

F. Bedeschi

I. Bediaga

N. Behling

S. Belin

A. Bellavista

K. Belous

I. Belov

I. Belyaev

G. Benane

G. Bencivenni

E. Ben-Haim

A. Berezhnoy

R. Bernet

S. Bernet Andres

A. Bertolin

C. Betancourt

F. Betti

J. Bex

Ia. Bezshyiko

Ukraine

O. Bezshyyko

J. Bhom

M. Bieker

N. Biesuz

A. Biolchini

M. Birch

F. Bishop

A. Bitadze

A. Bizzeti

Measurement of $\textit{CP}$ asymmetry in $$ {D}^0\to {K}_{\textrm{S}}^0{K}_{\textrm{S}}^0 $$ decays with Run 3 data

Recently, many new excited states of heavy mesons have been discovered in recent experiments, including radially excited states. The production processes of these states from the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>B</mi><mrow><mo stretchy="false">(</mo><mi>s</mi><mo stretchy="false">)</mo></mrow></msub></math> meson have drawn significant interest. In this paper, we use the covariant light-front approach to study the nonleptonic <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>B</mi><mrow><mo stretchy="false">(</mo><mi>s</mi><mo stretchy="false">)</mo></mrow></msub></math> meson decays to the first radially excited states <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>D</mi><mrow><mo stretchy="false">(</mo><mi>s</mi><mo stretchy="false">)</mo></mrow></msub><mo stretchy="false">(</mo><mn>2</mn><mi>S</mi><mo stretchy="false">)</mo></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msubsup><mi>D</mi><mrow><mo stretchy="false">(</mo><mi>s</mi><mo stretchy="false">)</mo></mrow><mo>*</mo></msubsup><mo stretchy="false">(</mo><mn>2</mn><mi>S</mi><mo stretchy="false">)</mo></math>. Our results reveal that many channels exhibit large branching ratios in the range <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mn>10</mn><mrow><mo>−</mo><mn>5</mn></mrow></msup><mi>–</mi><msup><mn>10</mn><mrow><mo>−</mo><mn>4</mn></mrow></msup></math>, even up to <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mn>10</mn><mrow><mo>−</mo><mn>3</mn></mrow></msup></math> for individual channels, which are detectable by current experiments. Our predictions for the decays <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>B</mi><mrow><mo stretchy="false">(</mo><mi>s</mi><mo stretchy="false">)</mo></mrow></msub><mo stretchy="false">→</mo><msubsup><mi>D</mi><mrow><mo stretchy="false">(</mo><mi>s</mi><mo stretchy="false">)</mo></mrow><mrow><mo stretchy="false">(</mo><mo>*</mo><mo stretchy="false">)</mo></mrow></msubsup><mo stretchy="false">(</mo><mn>2</mn><mi>S</mi><mo stretchy="false">)</mo><mo stretchy="false">(</mo><mi>π</mi><mo>,</mo><mi>ρ</mi><mo>,</mo><msup><mi>K</mi><mrow><mo stretchy="false">(</mo><mo>*</mo><mo stretchy="false">)</mo></mrow></msup><mo stretchy="false">)</mo></math> are larger than those given by the Bethe-Salpeter (BS) equation method, but agree well with the relativistic quark mode (RQM) and the relativistic independent quark model (RIQM) calculations. For comparison, we also present the branching ratios of the decays <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>B</mi><mrow><mo stretchy="false">(</mo><mi>s</mi><mo stretchy="false">)</mo></mrow></msub><mo stretchy="false">→</mo><msubsup><mi>D</mi><mrow><mo stretchy="false">(</mo><mi>s</mi><mo stretchy="false">)</mo></mrow><mrow><mo stretchy="false">(</mo><mo>*</mo><mo stretchy="false">)</mo></mrow></msubsup><mo stretchy="false">(</mo><mn>1</mn><mi>S</mi><mo stretchy="false">)</mo><mo stretchy="false">(</mo><mi>π</mi><mo>,</mo><mi>ρ</mi><mo>,</mo><msup><mi>K</mi><mrow><mo stretchy="false">(</mo><mo>*</mo><mo stretchy="false">)</mo></mrow></msup><mo stretchy="false">)</mo></math>, which are comparable with other theoretical results and the data. Although the branching ratios of the decays <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>B</mi><mrow><mo stretchy="false">(</mo><mi>s</mi><mo stretchy="false">)</mo></mrow></msub><mo stretchy="false">→</mo><msubsup><mi>D</mi><mrow><mo stretchy="false">(</mo><mi>s</mi><mo stretchy="false">)</mo></mrow><mo>*</mo></msubsup><mo stretchy="false">(</mo><mn>1</mn><mi>S</mi><mo stretchy="false">)</mo><mo stretchy="false">(</mo><mi>ρ</mi><mo>,</mo><msup><mi>K</mi><mo>*</mo></msup><mo stretchy="false">)</mo></math> are much larger than those of the decays <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>B</mi><mrow><mo stretchy="false">(</mo><mi>s</mi><mo stretchy="false">)</mo></mrow></msub><mo stretchy="false">→</mo><msubsup><mi>D</mi><mrow><mo stretchy="false">(</mo><mi>s</mi><mo stretchy="false">)</mo></mrow><mo>*</mo></msubsup><mo stretchy="false">(</mo><mn>2</mn><mi>S</mi><mo stretchy="false">)</mo><mo stretchy="false">(</mo><mi>ρ</mi><mo>,</mo><msup><mi>K</mi><mo>*</mo></msup><mo stretchy="false">)</mo></math>, the polarization properties between them are similar, that is, the longitudinal polarization fractions are dominant and can amount roughly to 90%.

Zhi-Jie Sun

Yong-Jin Sun

Zhi-Qing Zhang

You-Ya Yang

Si-Yang Wang

<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>D</mi><mrow><mo stretchy="false">(</mo><mi>s</mi><mo stretchy="false">)</mo></mrow></msub><mo stretchy="false">(</mo><mn>2</mn><mi>S</mi><mo stretchy="false">)</mo></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msubsup><mi>D</mi><mrow><mo stretchy="false">(</mo><mi>s</mi><mo stretchy="false">)</mo></mrow><mo>*</mo></msubsup><mo stretchy="false">(</mo><mn>2</mn><mi>S</mi><mo stretchy="false">)</mo></math> production in nonleptonic <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>B</mi><mrow><mo stretchy="false">(</mo><mi>s</mi><mo stretchy="false">)</mo></mrow></msub></math> weak decays

Motivated by the successful application of Heavy Quark Effective Field Theory in describing decays from heavy to light mesons, this work explores its applicability to the semileptonic decays of charmed mesons. So in this paper we investigate the <math altimg='si38.svg'><mrow><msubsup><mi>D</mi><mi>s</mi><mo>+</mo></msubsup><mo>&#8594;</mo><msup><mi>&#951;</mi><mrow><mo>(</mo><mo>&#8242;</mo><mo>)</mo></mrow></msup><msup><mi>&#8467;</mi><mo>+</mo></msup><msub><mi>&#957;</mi><mi>&#8467;</mi></msub></mrow></math> transition form factors using the light-cone sum rules approach within the framework of heavy-quark effective field theory. To address the large uncertainties arsing from the <italic>&#951;</italic> (&#8242;)-meson twist-3 distribution amplitudes, we employ the right-handed chiral correlation function. By applying the converging simplified series expansion method, we extrapolate the form factors to the entire physical <italic>q</italic> 2-region. Our analysis yields the branching fractions precise predictions for semi-leptonic decays <math altimg='si38.svg'><mrow><msubsup><mi>D</mi><mi>s</mi><mo>+</mo></msubsup><mo>&#8594;</mo><msup><mi>&#951;</mi><mrow><mo>(</mo><mo>&#8242;</mo><mo>)</mo></mrow></msup><msup><mi>&#8467;</mi><mo>+</mo></msup><msub><mi>&#957;</mi><mi>&#8467;</mi></msub></mrow></math> with : <math altimg='si49.svg'><mrow><mi mathvariant='script'>B</mi><mrow><mo>(</mo><msubsup><mi>D</mi><mi>s</mi><mo>+</mo></msubsup><mo>&#8594;</mo><mi>&#951;</mi><msup><mi>&#8467;</mi><mo>+</mo></msup><msub><mi>&#957;</mi><mi>&#8467;</mi></msub><mo>)</mo></mrow><mo linebreak='goodbreak'>=</mo><mn>2</mn><mo>.</mo><msubsup><mn>300</mn><mrow><mo>&#8722;</mo><mn>0.227</mn></mrow><mrow><mo>+</mo><mn>0.230</mn></mrow></msubsup><mo>%</mo></mrow></math> ( <math altimg='si39.svg'><mrow><mi>&#8467;</mi><mo linebreak='goodbreak'>=</mo><mi>e</mi></mrow></math>) and <math altimg='si50.svg'><mrow><mn>2</mn><mo>.</mo><msubsup><mn>249</mn><mrow><mo>&#8722;</mo><mn>0.206</mn></mrow><mrow><mo>+</mo><mn>0.209</mn></mrow></msubsup><mo>%</mo></mrow></math> ( <math altimg='si51.svg'><mrow><mi>&#8467;</mi><mo linebreak='goodbreak'>=</mo><mi>&#956;</mi></mrow></math>); <math altimg='si52.svg'><mrow><mi mathvariant='script'>B</mi><mrow><mo>(</mo><msubsup><mi>D</mi><mi>s</mi><mo>+</mo></msubsup><mo>&#8594;</mo><msup><mi>&#951;</mi><mo>&#8242;</mo></msup><msup><mi>&#8467;</mi><mo>+</mo></msup><msub><mi>&#957;</mi><mi>&#8467;</mi></msub><mo>)</mo></mrow><mo linebreak='goodbreak'>=</mo><mn>0</mn><mo>.</mo><msubsup><mn>861</mn><mrow><mo>&#8722;</mo><mn>0.093</mn></mrow><mrow><mo>+</mo><mn>0.095</mn></mrow></msubsup><mo>%</mo></mrow></math> ( <math altimg='si39.svg'><mrow><mi>&#8467;</mi><mo linebreak='goodbreak'>=</mo><mi>e</mi></mrow></math>) and <math altimg='si53.svg'><mrow><mn>0</mn><mo>.</mo><msubsup><mn>821</mn><mrow><mo>&#8722;</mo><mn>0.080</mn></mrow><mrow><mo>+</mo><mn>0.082</mn></mrow></msubsup><mo>%</mo></mrow></math> ( <math altimg='si51.svg'><mrow><mi>&#8467;</mi><mo linebreak='goodbreak'>=</mo><mi>&#956;</mi></mrow></math>). The derived lepton flavor universality ratios <math altimg='si54.svg'><mrow><msubsup><mi>R</mi><mrow><mi>&#956;</mi><mo>,</mo><mi>e</mi></mrow><mi>&#951;</mi></msubsup><mo linebreak='goodbreak'>=</mo><mn>0</mn><mo>.</mo><msubsup><mn>977</mn><mrow><mo>&#8722;</mo><mn>0.006</mn></mrow><mrow><mo>+</mo><mn>0.008</mn></mrow></msubsup></mrow></math> and <math altimg='si55.svg'><mrow><msubsup><mi>R</mi><mrow><mi>&#956;</mi><mo>,</mo><mi>e</mi></mrow><msup><mi>&#951;</mi><mo>&#8242;</mo></msup></msubsup><mo linebreak='goodbreak'>=</mo><mn>0</mn><mo>.</mo><msubsup><mn>953</mn><mrow><mo>&#8722;</mo><mn>0.009</mn></mrow><mrow><mo>+</mo><mn>0.011</mn></mrow></msubsup></mrow></math> are consistent with lasted BESIII experimental measurements. Additionally, the forward-backward asymmetry parameters <math altimg='si56.svg'><mrow><mrow><mo>&#9001;</mo><msubsup><mi mathvariant='script'>A</mi><mrow><mrow><mi mathvariant='normal'>F</mi></mrow><mi>B</mi></mrow><mi>&#951;</mi></msubsup><mo>&#9002;</mo></mrow><mo linebreak='goodbreak'>=</mo><mo>&#8722;</mo><mn>0</mn><mo>.</mo><msubsup><mn>034</mn><mrow><mo>&#8722;</mo><mn>0.003</mn></mrow><mrow><mo>+</mo><mn>0.003</mn></mrow></msubsup></mrow></math> and <math altimg='si57.svg'><mrow><mrow><mo>&#9001;</mo><msubsup><mi mathvariant='script'>A</mi><mrow><mrow><mi mathvariant='normal'>F</mi></mrow><mi>B</mi></mrow><msup><mi>&#951;</mi><mo>&#8242;</mo></msup></msubsup><mo>&#9002;</mo></mrow><mo linebreak='goodbreak'>=</mo><mo>&#8722;</mo><mn>0</mn><mo>.</mo><msubsup><mn>073</mn><mrow><mo>&#8722;</mo><mn>0.008</mn></mrow><mrow><mo>+</mo><mn>0.007</mn></mrow></msubsup></mrow></math> suggest that no significant violation of lepton flavor universality in this decay process.

Ruiyu Zhou

Hai-Bing Fu

Yi Zhang

Wei Cheng

Probing <math altimg='si38.svg'><mrow><msubsup><mi>D</mi><mi>s</mi><mo>+</mo></msubsup><mo>&#8594;</mo><msup><mi>&#951;</mi><mrow><mo>(</mo><mo>&#8242;</mo><mo>)</mo></mrow></msup><msup><mi>&#8467;</mi><mo>+</mo></msup><msub><mi>&#957;</mi><mi>&#8467;</mi></msub></mrow></math> semileptonic decay within LCSR under chiral heavy quark effective field theory

We investigate the quantum properties of the truly gauge-invariant and conserved charges of two-dimensional Yang-Mills theories, focusing on lattice QCD in the strong coupling regime. The construction of those charges uses the integral version of the (<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mn>1</mn><mo>+</mo><mn>1</mn></mrow></math>)-dimensional Yang-Mills equations, and they correspond to the eigenvalues of a charge operator. The gauge invariance of the charges suggests that they are not confined, hence hadronic states may carry them. Using the path integral formalism with imaginary time (Euclidean), we evaluate the correlation functions of those charges on baryon and meson states through functional integrals over the gauge group <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>S</mi><mi>U</mi><mo stretchy="false">(</mo><mi>N</mi><mo stretchy="false">)</mo></math> (<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>N</mi><mo>=</mo><mn>2</mn></math>, 3) and Grassmannian variables—the fermionic fields. Our results show that the expectation values of the lowest nontrivial charges are nonzero for baryon and meson states but vanish for non-gauge-invariant states, supporting the interpretation that hadrons indeed carry these charges. While renormalization effects and higher-order contributions remain to be analyzed, these findings point toward a potential link between gauge-invariant charges and confinement.

Paulo A. Faria da Veiga

Luiz A. Ferreira

Henrique Malavazzi

Ravi Mistry

Quantum Yang-Mills charges in strongly coupled <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mn>2</mn><mi>D</mi></math> lattice QCD with three flavors

We develop the quantization of a recently proposed model describing a totally antisymmetric rank-<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>p</mi></math> tensor-spinor field (a fermionic <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>p</mi></math>-form theory) in <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>d</mi></math>-dimensional anti–de Sitter (AdS) space. The model provides a new nontrivial example of a reducible gauge theory, in which gauge transformations are linearly dependent and the degree of reducibility increases with <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>p</mi></math>. It is well-known that in such cases the standard Faddeev-Popov-DeWitt prescription for the generating functional is not applicable. We quantize the fermionic <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>p</mi></math>-form theory using the general Batalin-Vilkovisky formalism, employing two distinct gauge fermions associated with gauge-fixing functions of different admissible ranks, confirming the independence from the gauge choice. As a result, we obtain the quantum effective action in terms of a sequence of functional determinants corresponding to specific Dirac-like operators on AdS space.

Russia

A.O. Barvinsky

JINR

I.L. Buchbinder

V.A. Krykhtin

D.V. Nesterov

Covariant quantization of totally antisymmetric tensor-spinor field in <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>AdS</mi><mi>d</mi></msub></math>

Utilizing data samples of electron-positron collisions recorded with the BESIII detector at the center of mass energy of 3.773 GeV, corresponding to an integrated luminosity of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mn>20.28</mn><mtext> </mtext><mtext> </mtext><msup><mi>fb</mi><mrow><mo>−</mo><mn>1</mn></mrow></msup></mrow></math>, we report the first search for the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>C</mi><mi>P</mi></math> forbidden process <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mi>e</mi><mo>+</mo></msup><msup><mi>e</mi><mo>−</mo></msup><mo stretchy="false">→</mo><mi>ψ</mi><mo stretchy="false">(</mo><mn>3773</mn><mo stretchy="false">)</mo><mo stretchy="false">→</mo><msup><mi>D</mi><mn>0</mn></msup><msup><mover accent="true"><mi>D</mi><mo stretchy="false">¯</mo></mover><mn>0</mn></msup><mo stretchy="false">→</mo><mo stretchy="false">(</mo><msubsup><mi>K</mi><mi>S</mi><mn>0</mn></msubsup><msup><mi>π</mi><mn>0</mn></msup><mo stretchy="false">)</mo><mo stretchy="false">(</mo><msubsup><mi>K</mi><mi>S</mi><mn>0</mn></msubsup><msup><mi>π</mi><mn>0</mn></msup><mo stretchy="false">)</mo></math>. No significant signal is observed. We set the upper limit on the observed cross section to be 7.37 fb, and the upper limit on the joint branching fraction of the C-odd correlated neutral <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>D</mi></math> pair <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi mathvariant="script">B</mi><mo stretchy="false">[</mo><mo stretchy="false">(</mo><msup><mrow><mi>D</mi></mrow><mn>0</mn></msup><msup><mrow><mover accent="true"><mrow><mi>D</mi></mrow><mrow><mo stretchy="false">¯</mo></mrow></mover></mrow><mn>0</mn></msup><msub><mrow><mo stretchy="false">)</mo></mrow><mrow><mi mathvariant="normal">C</mi><mtext>−</mtext><mtext>odd</mtext></mrow></msub><mo stretchy="false">→</mo><mo stretchy="false">(</mo><msubsup><mrow><mi>K</mi></mrow><mrow><mi>S</mi></mrow><mn>0</mn></msubsup><msup><mrow><mi>π</mi></mrow><mn>0</mn></msup><mo stretchy="false">)</mo><mo stretchy="false">(</mo><msubsup><mrow><mi>K</mi></mrow><mrow><mi>S</mi></mrow><mn>0</mn></msubsup><msup><mrow><mi>π</mi></mrow><mn>0</mn></msup><mo stretchy="false">)</mo><mo stretchy="false">]</mo><mo>&lt;</mo><mn>2.04</mn><mo>×</mo><msup><mn>10</mn><mrow><mo>−</mo><mn>6</mn></mrow></msup></mrow></math> at the 90% confidence level.

M. Ablikim

M.N. Achasov

X.C. Ai

R. Aliberti

A. Amoroso

Q. An

Y. Bai

O. Bakina

Y. Ban

H.R. Bao

V. Batozskaya

Mongolia

K. Begzsuren

N. Berger

M. Berlowski

M. Bertani

D. Bettoni

F. Bianchi

E. Bianco

A. Bortone

I. Boyko

R.A. Briere

A. Brueggemann

H. Cai

M.H. Cai

X. Cai

A. Calcaterra

Search for <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>C</mi><mi>P</mi></math> violation in <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mi>e</mi><mo>+</mo></msup><msup><mi>e</mi><mo>−</mo></msup><mo stretchy="false">→</mo><mi>ψ</mi><mo stretchy="false">(</mo><mn>3770</mn><mo stretchy="false">)</mo><mo stretchy="false">→</mo><msup><mi>D</mi><mn>0</mn></msup><msup><mover accent="true"><mi>D</mi><mo stretchy="false">¯</mo></mover><mn>0</mn></msup></math> via <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>D</mi><mo stretchy="false">→</mo><msubsup><mi>K</mi><mi>S</mi><mn>0</mn></msubsup><msup><mi>π</mi><mn>0</mn></msup></math>