Based on a sample of $2.7\times10^{9}$ $\psi(3686)$ events collected by the BESIII detector operating at the BEPCII collider, the decay $\psi(3686)\to\gamma\chi_{cJ}, \chi_{cJ}\to\eta\eta\eta^{\prime}$ is analyzed. The decay modes $\chi_{c1}$ and $\chi_{c2}\to\eta\eta\eta^{\prime}$ are observed for the first time, and their corresponding branching fractions are determined to be ${\cal{B}}(\chi_{c1}\to\eta\eta\eta^{\prime}) = $ $ (1.40\, \pm 0.13\, (\text{stat.}) \pm 0.09\, (\text{sys.})) \times 10^{-4}$ and ${\cal{B}}(\chi_{c2}\to\eta\eta\eta^{\prime}) = (4.18\, \pm 0.84\, (\text{stat.}) \pm 0.48\, (\text{sys.})) \times 10^{-5}$ . An upper limit on the branching fraction of $\chi_{c0}\to\eta\eta\eta^{\prime}$ is set as $2.59 \times 10^{-5}$ at a 90% confidence level (CL). A partial wave analysis (PWA) of the decay $\chi_{c1}\to\eta\eta\eta^{\prime}$ is performed to search for the $1^{-+}$ exotic state $\eta_1(1855)$ . The PWA result indicates that the structure in the $\eta\eta^{\prime}$ mass spectrum is attributed to $f_0(1500)$ , while in the $\eta\eta$ mass spectrum, it is attributed to the $0^{++}$ phase space. The upper limit of ${\cal{B}}(\chi_{c1}\to\eta_{1}(1855)\eta) \cdot {\cal{B}}(\eta_{1}(1855)\to\eta\eta^{\prime}) \lt $ $ 9.79 \times 10^{-5}$ is set based on the PWA at 90% CL.

China

M. Ablikim

Russia

M.N. Achasov

Sweden

P. Adlarson

X.C. Ai

Germany

R. Aliberti

Italy

A. Amoroso

Q. An

Y. Bai

O. Bakina

Y. Ban

H.R. Bao

Poland

V. Batozskaya

Mongolia

K. Begzsuren

N. Berger

M. Berlowski

M. Bertani

D. Bettoni

F. Bianchi

E. Bianco

A. Bortone

I. Boyko

United States

R.A. Briere

A. Brueggemann

H. Cai

M.H. Cai

X. Cai

A. Calcaterra

G.F. Cao

N. Cao

Türkiye

S.A. Cetin

X.Y. Chai

J.F. Chang

G.R. Che

Y.Z. Che

C.H. Chen

Chao Chen

G. Chen

H.S. Chen

H.Y. Chen

M.L. Chen

S.J. Chen

S.L. Chen

S.M. Chen

T. Chen

X.R. Chen

X.T. Chen

X.Y. Chen

Y.B. Chen

Y.Q. Chen

Z. Chen

Z.J. Chen

Z.K. Chen

S.K. Choi

X. Chu

G. Cibinetto

F. Cossio

United Kingdom

J. Cottee-Meldrum

J.J. Cui

H.L. Dai

J.P. Dai

A. Dbeyssi

R.E. de Boer

D. Dedovich

C.Q. Deng

Z.Y. Deng

A. Denig

I. Denysenko

M. Destefanis

F. De Mori

B. Ding

X.X. Ding

Y. Ding

Y.X. Ding

J. Dong

L.Y. Dong

M.Y. Dong

X. Dong

M.C. Du

S.X. Du

Y.Y. Duan

P. Egorov

G.F. Fan

J.J. Fan

Y.H. Fan

J. Fang

S.S. Fang

W.X. Fang

Y.Q. Fang

R. Farinelli

L. Fava

F. Feldbauer

G. Felici

C.Q. Feng

J.H. Feng

L. Feng

Q.X. Feng

Search for $\textit{η}$ $_{1}$(1855) in $\textit{χ}$ $\textit{cJ}$ → $\textit{ηηη}$′ decays * Supported in part by National Key R&D Program of China (2023YFA1606000, 2023YFA1606704); National Natural Science Foundation of China (NSFC) (11635010, 11935015, 11935016, 11935018, 12025502, 12035009, 12035013, 12061131003, 12192260, 12192261, 12192262, 12192263, 12192264, 12192265, 12221005, 12225509, 12235017, 12361141819); the Chinese Academy of Sciences (CAS) Large-Scale Scientific Facility Program; CAS (YSBR-101); 100 Talents Program of CAS; The Institute of Nuclear and Particle Physics (INPAC) and Shanghai Key Laboratory for Particle Physics and Cosmology; Agencia Nacional de Investigación y Desarrollo de Chile (ANID), Chile (ANID PIA/APOYO AFB230003); German Research Foundation DFG (FOR5327); Istituto Nazionale di Fisica Nucleare, Italy; Knut and Alice Wallenberg Foundation (2021.0174, 2021.0299); Ministry of Development of Turkey (DPT2006K-120470); National Research Foundation of Korea ( NRF-2022R1A2C1092335); National Science and Technology fund of Mongolia; National Science Research and Innovation Fund (NSRF) via the Program Management Unit for Human Resources Institutional Development, Research and Innovation of Thailand ( B50G670107); Polish National Science Centre (2024/53/B/ST2/00975); Swedish Research Council (2019.04595); U. S. Department of Energy (DE-FG02-05ER41374)

We consider half BPS operators in maximally supersymmetric Yang Mills (SYM) in $\textit{p}$ + 1 dimensions. These operators satisfy trace relations that are identical to those discussed in the $\textit{p}$ = 3 case ( $$ \mathcal{N} $$ = 4 SYM). Nevertheless, the bulk explanation of these trace relations must differ from the $\textit{p}$ = 3 case as their holographic duals are not AdS spacetimes. We identify giant graviton solutions in the dual holographic backgrounds for −1 ≤ $\textit{p}$ ≤ 4. In the ’t Hooft limit, these giants are D(6 – $\textit{p}$)-branes that wrap a $\textit{S}$ ⊂ $\textit{S}$ . We also follow the giants into the strong coupling region where they become other branes. Despite propagating in a non-AdS geometry, we find that the branes “feel” like they are in AdS. This is closely related to the emergent scaling symmetry present in these boundary theories.

Gauri Batra

Henry Lin

Giant gravitons in D$\textit{p}$-brane holography

<p>We study the interaction of a neutron with the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msubsup><mover accent="true"><mi>D</mi><mo stretchy="false">¯</mo></mover><mrow><mi>s</mi><mn>0</mn></mrow><mo>*</mo></msubsup><mo stretchy="false">(</mo><mn>2317</mn><mo stretchy="false">)</mo></math> resonance and look at the amplitude below threshold and close above threshold. The study is done from the perspective that the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msubsup><mi>D</mi><mrow><mi>s</mi><mn>0</mn></mrow><mo>*</mo></msubsup><mo stretchy="false">(</mo><mn>2317</mn><mo stretchy="false">)</mo></math> resonance is a molecular state of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>D</mi><mi>K</mi></math> in <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>I</mi><mo>=</mo><mn>0</mn></math>. To study this interaction, we use the fixed center approximation to Faddeev equations that considers the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>D</mi><mi>K</mi></math> molecule as the cluster and the neutron as the external particle. We improve the fixed center approach to implement elastic unitarity around threshold, which is needed to obtain scattering parameters and to evaluate the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>n</mi><msubsup><mover accent="true"><mi>D</mi><mo stretchy="false">¯</mo></mover><mrow><mi>s</mi><mn>0</mn></mrow><mo>*</mo></msubsup><mo stretchy="false">(</mo><mn>2317</mn><mo stretchy="false">)</mo></math> correlation function that we determine here. One interesting result of the study is the appearance of a resonant state below threshold with a binding of about 130 MeV and a width of about 80 MeV, which we suggest to look at in reactions measuring the invariant mass of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>π</mi><mi mathvariant="normal">Σ</mi><mover accent="true"><mi>D</mi><mo stretchy="false">¯</mo></mover></math>. The ALICE collaboration has initiated studies of this type, by looking at the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>p</mi><msub><mi>f</mi><mn>1</mn></msub><mo stretchy="false">(</mo><mn>1285</mn><mo stretchy="false">)</mo></math> correlation function, and we can only encourage work in this direction, which should provide much valuable information on the nature of many resonant states.</p>

Japan

Natsumi Ikeno

Spain

Eulogio Oset

Correlation function for the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>n</mi><msubsup><mover accent="true"><mi>D</mi><mo stretchy="false">¯</mo></mover><mrow><mi>s</mi><mn>0</mn></mrow><mo>*</mo></msubsup><mo stretchy="false">(</mo><mn>2317</mn><mo stretchy="false">)</mo></math> interaction and the issue of elastic unitarity

Recent publications by three lattice QCD collaborations have provided an unprecedented wealth of theoretical predictions for the $$ {\overline{B}}_q\to {D}_q^{\left(\ast \right)} $$ form factors, for spectator flavours $\textit{q}$ = $\textit{u}$/$\textit{d}$ and $\textit{q}$ = $\textit{s}$. We analyse these predictions within the framework of the heavy-quark expansion (HQE) to order $\textit{α}$ , 1/$\textit{m}$ , and $$ 1/{m}_c^2 $$ . For the first time, our analysis imposes unitarity bounds for all of the $$ {\overline{B}}_q^{\left(\ast \right)}\to {D}_q^{\left(\ast \right)} $$ form factors; this includes newly identified tensor form factors arising in $$ {\overline{B}}_q^{\ast}\to {D}_q^{\left(\ast \right)} $$ . This enables us to treat all form factors in the same fashion. At the level of our present analysis, the inclusion of the tensor bounds is not yet constraining the HQE parameter space. We find the lattice QCD results to be well compatible with each other in a joint HQE fit as well as with QCD sum rule estimates that were used in previous HQE analyses. This is in contrast to the strong variability of the posterior predictions, in particular of the form factors ratios $\textit{R}$ and $\textit{R}$ . Using the posterior distributions of our HQE analysis, we provide predictions for angular observables and LFU ratios in the $$ {\overline{B}}_q\to {D}_q^{\left(\ast \right)}{\ell}^{-}\overline{\nu} $$ decays.

Switzerland

Marzia Bordone

Nico Gubernari

Martin Jung

Danny Dyk

Challenging $$ {\overline{B}}_{(s)}\to {D}_{(s)}^{\left(\ast \right)} $$ form factors with the heavy quark expansion

<p>The renormalization group flow of the multiscalar interacting <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mi>φ</mi><mn>3</mn></msup></math> theory in <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>d</mi><mo>=</mo><mn>6</mn></math> dimensions is known to have a gradient structure, in which suitable generalizations of the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>β</mi></math> functions <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mi>B</mi><mi>I</mi></msup></math> emerge as the gradient of a scalar function <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>A</mi></math>, <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mo>∂</mo><mi>I</mi></msub><mi>A</mi><mo>=</mo><msub><mi>T</mi><mrow><mi>I</mi><mi>J</mi></mrow></msub><msup><mi>B</mi><mi>J</mi></msup></math>, with a nontrivial tensor <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>T</mi><mrow><mi>I</mi><mi>J</mi></mrow></msub></math> in the space of couplings. This has been shown directly to three loops in schemes such as the modified minimal subtraction scheme (<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mover accent="true"><mi>MS</mi><mo stretchy="true">¯</mo></mover></math>) and can be argued in general by identifying <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>A</mi></math> with the coefficient of the topological term of the trace anomaly in <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>d</mi><mo>=</mo><mn>6</mn></math> up to a normalization. In this paper we show that the same renormalization group has a gradient structure in <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>d</mi><mo>=</mo><mn>6</mn><mo>−</mo><mi>ϵ</mi></math>. The requirement of a gradient structure is translated to linear constraints that the coefficients of the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mover accent="true"><mi>MS</mi><mo stretchy="true">¯</mo></mover></math> <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>β</mi></math> functions must obey, one of which is new and pertinent only to the extension to <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>d</mi><mo>≠</mo><mn>6</mn></math>.</p>

Lorenzo Benfatto

Omar Zanusso

Gradient properties of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mi>φ</mi><mn>3</mn></msup></math> in <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>d</mi><mo>=</mo><mn>6</mn><mo>−</mo><mi>ϵ</mi></math>

We propose a computation of curvature of arbitrary two-dimensional surfaces of three-dimensional objects, which is a contribution to discrete gravity with potential applications in network geometry. We begin by linking each point of the surface in question to its four closest neighbors, forming quads. We then focus on the simplices of $$d=2$$ , or triangles embedded in these quads, which make up a pure simplicial complex with $$d=2$$ . This allows us to numerically compute the local metric along with zweibeins, which subsequently leads to a derivation of discrete curvature defined at every triangle or face. We provide an efficient algorithm with $$\mathscr {O}(N \log {N})$$ complexity that first orients two-dimensional surfaces, solves the nonlinear system of equations of the spin-connections resulting from the torsion condition, and returns the value of curvature at each face.

Lebanon

Ali Chamseddine

Ola Malaeb

Sara Najem

Curvature of an arbitrary surface for discrete gravity and for $$d=2$$ pure simplicial complexes

Using the 4.9 pb statistics collected at the peak of the $\textit{ψ}$(3770) resonance with the KEDR detector at the VEPP-4M electron-positron collider, we measured the masses of the neutral and charged D mesons:

V. Anashin

O. Anchugov

A. Andrianov

K. Astrelina

V. Aulchenko

E. Baldin

G. Baranov

A. Barladyan

A. Barnyakov

M. Barnyakov

S. Baru

I. Basok

A. Batrakov

I. Bedny

E. Bekhtenev

O. Belikov

D. Berkaev

A. Blinov

V. Blinov

M. Blinov

A. Bobrov

V. Bobrovnikov

A. Bogomyagkov

D. Bolkhovityanov

A. Bondar

D. Bondarev

A. Buzykaev

S. Eidelman

P. Cheblakov

V. Dorohov

F. Emanov

V. Gambaryan

Yu. Glukhovchenko

D. Grigoriev

V. Gulevich

D. Gusev

V. Kaminskiy

S. Karnaev

S. Karpov

G. Karpov

K. Karukina

D. Kashtankin

P. Kasyanenko

A. Katcin

T. Kharlamova

V. Kiselev

S. Kononov

K. Kotov

A. Krasnov

E. Kravchenko

V. Kudryavtsev

V. Kulikov

G. Kurkin

E. Kuper

I. Kuyanov

E. Levichev

P. Logachev

D. Maksimov

T. Maltsev

Yu. Maltseva

V. Malyshev

A. Maslennikov

A. Medvedko

O. Meshkov

S. Mishnev

New measurement of $\textit{D}$