A precise determination of the CKM angle $\textit{γ}$ from $$ {B}_s^0 $$ oscillations in $$ {B}_s^0\to {D}_s^{\mp }{K}^{\pm } $$ decays offers a critical test of the Standard Model and probes for new physics. We present a comprehensive study on the prospects of measuring $\textit{γ}$ at a future Tera-$\textit{Z}$ factory, utilizing the baseline detector concept of the Circular Electron Positron Collider (CEPC). A two-dimensional simultaneous fit framework, incorporating flavor tagging, decay time resolution modeling, and acceptance corrections, is developed using full Monte Carlo simulations of $$ {B}_s^0\to {D}_s^{\mp}\left(\to {K}^{\mp }{K}^{\pm }{\pi}^{\mp}\right){K}^{\pm } $$ decays and inclusive background processes. The effective flavor tagging power reaches 23.6%, while the decay time resolution is determined to be 26 fs. Projecting to full statistics of signal events across three dominant $$ {D}_s^{-} $$ decay channels, we estimate a statistical precision of $\textit{σ}$($\textit{γ}$) = 0$\textit{.}$69 , which corresponds to 4.1 Tera-$\textit{Z}$ boson equivalent data. This study has established the feasibility of sub-degree level $\textit{γ}$ measurements at a $\textit{Z}$ factory, highlighting its unique advantages in time-dependent $\textit{CP}$ violation studies through ultra-precise vertexing and background suppression capabilities.

China

Ji Peng

Mingrui Zhao

Xiaolin Wang

Manqi Ruan

Hengne Li

Shanzhen Chen

Prospect for measurement of $\textit{CP}$-violating observables in $$ {B}_s^0\to {D}_s^{\mp }{K}^{\pm } $$ decays at a future $\textit{Z}$ factory

The dipionic transition of the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>X</mi><mo stretchy="false">(</mo><mn>3872</mn><mo stretchy="false">)</mo></math> to the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>η</mi><mi>c</mi></msub></math> was investigated using an effective Lagrangian approach. In this study, the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>X</mi><mo stretchy="false">(</mo><mn>3872</mn><mo stretchy="false">)</mo></math> was assumed to be a <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>D</mi><msup><mover accent="true"><mi>D</mi><mo stretchy="false">¯</mo></mover><mo>*</mo></msup><mo>+</mo><mi mathvariant="normal">c</mi><mo>.</mo><mi mathvariant="normal">c</mi><mo>.</mo></math> bound state with the quantum numbers <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mi>J</mi><mrow><mi>P</mi><mi>C</mi></mrow></msup><mo>=</mo><msup><mn>1</mn><mrow><mo>+</mo><mo>+</mo></mrow></msup></math> and to decay via triangle and box loops. It is found that the partial decay widths arising from the box loops are one order of magnitude greater than those from the triangle ones. The decay widths are model-dependent, as characterized by the cutoff parameter introduced in the form factor. Moreover, the charged and neutral <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>D</mi><msup><mover accent="true"><mi>D</mi><mo stretchy="false">¯</mo></mover><mo>*</mo></msup></math> configurations of the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>X</mi><mo stretchy="false">(</mo><mn>3872</mn><mo stretchy="false">)</mo></math> and its mass also influence the decay widths. With our model parameters, the decay widths for the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>X</mi><mo stretchy="false">(</mo><mn>3872</mn><mo stretchy="false">)</mo><mo stretchy="false">→</mo><msup><mi>π</mi><mo>+</mo></msup><msup><mi>π</mi><mo>−</mo></msup><msub><mi>η</mi><mi>c</mi></msub></math> can reach up to several tens of keV. We hope that the current calculations within the molecular interpretation will be helpful for the future experiments.

Hao-Dong Cai

Zhao-Sai Jia

Gang Li

Shi-Dong Liu

Hidden charmed decays of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>X</mi><mo stretchy="false">(</mo><mn>3872</mn><mo stretchy="false">)</mo></math> within the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>D</mi><msup><mover accent="true"><mi>D</mi><mo stretchy="false">¯</mo></mover><mo>*</mo></msup></math> molecular framework

We discuss radiative transitions <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>D</mi><mrow><mi>s</mi><mn>1</mn></mrow></msub><mo stretchy="false">→</mo><msub><mi>D</mi><mi>s</mi></msub><mi>γ</mi></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>D</mi><mrow><mi>s</mi><mn>1</mn></mrow></msub><mo stretchy="false">→</mo><msubsup><mi>D</mi><mi>s</mi><mo>*</mo></msubsup><mi>γ</mi></math> of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>p</mi></math>-wave mesons. Since <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>D</mi><mrow><mi>s</mi><mn>1</mn></mrow></msub></math> mesons have no certain <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>C</mi></math>-parity, and the masses of quarks in these mesons differ significantly, then due to the spin-orbit interaction, each of the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>p</mi></math>-wave mesons with the total angular momentum <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>J</mi><mo>=</mo><mn>1</mn></math> is a superposition of states with the total spin of quarks <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>S</mi><mi>tot</mi></msub><mo>=</mo><mn>0</mn></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>S</mi><mi>tot</mi></msub><mo>=</mo><mn>1</mn></math>. We explain why the partial width of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>D</mi><mrow><mi>s</mi><mn>1</mn></mrow></msub><mo stretchy="false">(</mo><mn>2460</mn><mo stretchy="false">)</mo><mo stretchy="false">→</mo><msub><mi>D</mi><mi>s</mi></msub><mi>γ</mi></math> radiative transition is significantly larger than the corresponding value for <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>D</mi><mrow><mi>s</mi><mn>1</mn></mrow></msub><mo stretchy="false">(</mo><mn>2536</mn><mo stretchy="false">)</mo><mo stretchy="false">→</mo><msub><mi>D</mi><mi>s</mi></msub><mi>γ</mi></math>. We also predict the corresponding partial widths of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>B</mi><mrow><mi>s</mi><mn>1</mn></mrow></msub></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>B</mi><mrow><mi>c</mi><mn>1</mn></mrow></msub></math>.

Russia

A.E. Bondar

A.I. Milstein

Phenomenology of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi>D</mi></mrow><mrow><mi>s</mi><mn>1</mn></mrow></msub></mrow></math> mesons radiative transitions

We study the modifications to decay amplitudes in heavy to heavy semileptonic decays with multiple hadrons in the final state due to intermediate heavy hadrons being off-shell or having a finite width. Combining Heavy Hadron Chiral Perturbation Theory (HH$\textit{χ}$PT) with a BCFW on-shell factorization formula, we show that these effects induce $$ \mathcal{O} $$ (1/$\textit{M}$) corrections to the standard results computed in the narrow-width approximation and therefore are important in extracting form factors from data. A combination of perturbative unitarity, analyticity, and reparameterization invariance fully determine these corrections in terms of known Isgur-Wise functions without the need to introduce new form factors. In doing so, we develop a novel technique to compute the boundary term at complex infinity in the BCFW formula for theories with derivatively coupled scalars. While we have used the $$ \overline{B} $$ → $\textit{Dπℓν}$ decay as an example, these techniques can generally be applied to effective field theories with (multiple) distinct reference vectors.

United States

Michele Papucci

Ryan Plestid

Off-shell vertices in heavy particle effective theories and B $\textit{→}$ D$\textit{πℓν}$

Using the harmonic superspace approach, we perform a comprehensive study of the structure of divergences in the higher-derivative <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mn>6</mn><mi>D</mi></math>, <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="script">N</mi><mo>=</mo><mo stretchy="false">(</mo><mn>1</mn><mo>,</mo><mn>0</mn><mo stretchy="false">)</mo></math> supersymmetric Yang-Mills theory coupled to the hypermultiplet in the adjoint representation. The effective action is constructed in the framework of the superfield background field method with the help of the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="script">N</mi><mo>=</mo><mo stretchy="false">(</mo><mn>1</mn><mo>,</mo><mn>0</mn><mo stretchy="false">)</mo></math> supersymmetric higher-derivative regularization scheme which preserves all symmetries of the theory. The one-loop divergences are calculated in a manifestly gauge invariant and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mn>6</mn><mi>D</mi></math>, <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="script">N</mi><mo>=</mo><mo stretchy="false">(</mo><mn>1</mn><mo>,</mo><mn>0</mn><mo stretchy="false">)</mo></math> supersymmetric form, hopefully admitting a generalization to higher loops. The <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>β</mi></math> function in the one-loop approximation is found and analyzed. In particular, it is shown that the one-loop <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>β</mi></math> function for an arbitrary regulator function is specified by integrals of double total derivatives in momentum space, like it happens in <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mn>4</mn><mi>D</mi></math>, <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="script">N</mi><mo>=</mo><mn>1</mn></math> superfield gauge theories. This points to the potential possibility to derive the all-loop Novikov-Shifman-Vainshtein-Zakharov-like exact <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>β</mi></math> function in the considered theory.

JINR

I.L. Buchbinder

A.S. Budekhina

E.A. Ivanov

K.V. Stepanyantz

Structure of divergences in the higher-derivative supersymmetric <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mn>6</mn><mi>D</mi></mrow></math> gauge theory

This paper mainly aims to solve the anti-deSitter Black Holes (AdS BH) under the Barrow entropy under polytropic gas fluid, especially the Chaplygin gas. First, we develop this last polytropic model in detail to then obtain the possible solutions and thermodynamic conditions on the energy momentum and the Barrow entropy for spacetimes of spatial dimension $$D>3$$ . Then, we focus on thermodynamic solutions and the different impacts on the Barrow entropy of the black hole, the temperature profile, the mass, and the various physical quantities involved. Afterwards, we focus on the specific cases of the solutions of dimensions $$D=4$$ and 5 to concretely test the models, especially from the point of view of the thermodynamic topology. Finally, we generalize everything by elaborating and testing the stability of the models to arrive at the thermal geometry of the AdS BH.

Oman

Azerbaijan

Yassine Sekhmani

India

Bidyut Hazarika

P. Phukon

Canada

Alexandre Landry

S. Maurya

Uzbekistan

J. Rayimbaev

The $\textit{D}$-dimensional charged AdS black holes solutions in polytropic dark energy from Barrow entropy

We investigate the semileptonic decays of charmed mesons to light vector mesons within the framework of light-cone sum rules. Our calculation is performed at leading order in quantum chromodynamics (QCD) coupling, incorporating contributions up to twist-five accuracy from both two-particle and three-particle light-cone distribution amplitudes. Transition form factors are predicted twist by twist to assess the convergence property of the operator product expansion. It is verified that the twist-four and twist-five contributions are indeed negligible for all the decays under consideration. Twist-three dominance is observed for some of the form factors, subject to heavy quark effective field theory interpretation. Branching ratios for the decays <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mi>D</mi><mo>+</mo></msup><mo stretchy="false">→</mo><msup><mi>ρ</mi><mn>0</mn></msup><msup><mo>ℓ</mo><mo>+</mo></msup><msub><mi>ν</mi><mo>ℓ</mo></msub></math>, <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msubsup><mi>D</mi><mi>s</mi><mo>+</mo></msubsup><mo stretchy="false">→</mo><msup><mi>K</mi><mrow><mo>*</mo><mn>0</mn></mrow></msup><msup><mo>ℓ</mo><mo>+</mo></msup><msub><mi>ν</mi><mo>ℓ</mo></msub></math>, <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mi>D</mi><mn>0</mn></msup><mo stretchy="false">→</mo><msup><mi>K</mi><mrow><mo>*</mo><mo>−</mo></mrow></msup><msup><mo>ℓ</mo><mo>+</mo></msup><msub><mi>ν</mi><mo>ℓ</mo></msub></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mi>D</mi><mo>+</mo></msup><mo stretchy="false">→</mo><msup><mover accent="true"><mi>K</mi><mo stretchy="false">¯</mo></mover><mrow><mo>*</mo><mn>0</mn></mrow></msup><msup><mo>ℓ</mo><mo>+</mo></msup><msub><mi>ν</mi><mo>ℓ</mo></msub></math> are obtained, and a 10%–20% discrepancy from experimental measurements is found. Our finding indicates that the resonant-width and nonresonant QCD backgrounds effects should be potentially significant, implying the necessity to further implement their contributions in future precision studies of the semileptonic charm decays.

Wang Lin

Xiao-En Huang

Shan Cheng

De-Liang Yao

Semileptonic decays of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>D</mi><mo stretchy="false">→</mo><mi>ρ</mi><msup><mi>l</mi><mo>+</mo></msup><mi>ν</mi></math> and <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><msup><mi>K</mi><mo>*</mo></msup><msup><mi>l</mi><mo>+</mo></msup><mi>ν</mi></math> from light-cone sum rules

The production yields of the orbitally excited charm-strange mesons <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi mathvariant="normal">D</mi></mrow><mrow><mi mathvariant="normal">s</mi><mn>1</mn></mrow></msub><mo stretchy="false">(</mo><msup><mrow><mn>1</mn></mrow><mrow><mo>+</mo></mrow></msup><mo stretchy="false">)</mo><mo stretchy="false">(</mo><mn>2536</mn><msup><mrow><mo stretchy="false">)</mo></mrow><mrow><mo>+</mo></mrow></msup></mrow></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msubsup><mi mathvariant="normal">D</mi><mrow><mi mathvariant="normal">s</mi><mn>2</mn></mrow><mo>*</mo></msubsup><mo stretchy="false">(</mo><msup><mn>2</mn><mo>+</mo></msup><mo stretchy="false">)</mo><mo stretchy="false">(</mo><mn>2573</mn><msup><mo stretchy="false">)</mo><mo>+</mo></msup></math> were measured for the first time in proton-proton (pp) collisions at a center-of-mass energy of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msqrt><mi>s</mi></msqrt><mo>=</mo><mn>13</mn><mtext> </mtext><mtext> </mtext><mi>TeV</mi></math> with the ALICE experiment at the LHC. The <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msubsup><mi mathvariant="normal">D</mi><mrow><mi mathvariant="normal">s</mi><mn>1</mn></mrow><mo>+</mo></msubsup></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msubsup><mi mathvariant="normal">D</mi><mrow><mi mathvariant="normal">s</mi><mn>2</mn></mrow><mrow><mo>*</mo><mo>+</mo></mrow></msubsup></math> mesons were measured at midrapidity (<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mo stretchy="false">|</mo><mi>y</mi><mo stretchy="false">|</mo><mo>&lt;</mo><mn>0.5</mn></math>) in minimum-bias and high-multiplicity pp collisions in the transverse-momentum interval <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mn>2</mn><mo>&lt;</mo><msub><mrow><mi>p</mi></mrow><mrow><mi mathvariant="normal">T</mi></mrow></msub><mo>&lt;</mo><mn>24</mn><mtext> </mtext><mtext> </mtext><mrow><mi>GeV</mi><mo>/</mo><mi>c</mi></mrow></mrow></math>. Their production yields relative to the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msubsup><mi mathvariant="normal">D</mi><mi mathvariant="normal">s</mi><mo>+</mo></msubsup></math> ground-state yield were found to be compatible between minimum-bias and high-multiplicity collisions, as well as with previous measurements in <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mi mathvariant="normal">e</mi><mo>±</mo></msup><mi mathvariant="normal">p</mi></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mi mathvariant="normal">e</mi><mo>+</mo></msup><msup><mi mathvariant="normal">e</mi><mo>−</mo></msup></math> collisions. The measured <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msubsup><mi mathvariant="normal">D</mi><mrow><mi mathvariant="normal">s</mi><mn>1</mn></mrow><mo>+</mo></msubsup><mo>/</mo><msubsup><mi mathvariant="normal">D</mi><mi mathvariant="normal">s</mi><mo>+</mo></msubsup></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msubsup><mi mathvariant="normal">D</mi><mrow><mi mathvariant="normal">s</mi><mn>2</mn></mrow><mrow><mo>*</mo><mo>+</mo></mrow></msubsup><mo>/</mo><msubsup><mi mathvariant="normal">D</mi><mi mathvariant="normal">s</mi><mo>+</mo></msubsup></math> yield ratios are described by statistical hadronization models and can be used to tune the parameters governing the production of excited charm-strange hadrons in Monte Carlo generators, such as pythia 8.

France

S. Acharya

A. Agarwal

CERN

G. Aglieri Rinella

Italy

L. Aglietta

M. Agnello

N. Agrawal

Z. Ahammed

S. Ahmad

South Korea

S.U. Ahn

Slovakia

I. Ahuja

A. Akindinov

Germany

V. Akishina

M. Al-Turany

D. Aleksandrov

B. Alessandro

H.M. Alfanda

Mexico

R. Alfaro Molina

B. Ali

A. Alici

N. Alizadehvandchali

A. Alkin

Norway

J. Alme

G. Alocco

T. Alt

A.R. Altamura

I. Altsybeev

J.R. Alvarado

M.N. Anaam

Romania

C. Andrei

United Kingdom

N. Andreou

A. Andronic

E. Andronov

V. Anguelov

F. Antinori

P. Antonioli

N. Apadula

L. Aphecetche

H. Appelshäuser

C. Arata

S. Arcelli

R. Arnaldi

Brazil

J.G.M.C.A. Arneiro

I.C. Arsene

M. Arslandok

A. Augustinus

R. Averbeck

D. Averyanov

M.D. Azmi

Japan

H. Baba

A. Badalà

J. Bae

Y.W. Baek

X. Bai

R. Bailhache

Y. Bailung

R. Bala

A. Balbino

A. Baldisseri

Poland

B. Balis

Z. Banoo

V. Barbasova

F. Barile

L. Barioglio

Greece

M. Barlou

B. Barman

Hungary

G.G. Barnaföldi

L.S. Barnby

E. Barreau

V. Barret

L. Barreto

C. Bartels

K. Barth

E. Bartsch

N. Bastid

Sweden

S. Basu

G. Batigne

D. Battistini

B. Batyunya

D. Bauri

Peru

J.L. Bazo Alba

Denmark

I.G. Bearden

C. Beattie

P. Becht

D. Behera

I. Belikov

A.D.C. Bell Hechavarria

F. Bellini

R. Bellwied

S. Belokurova

L.G.E. Beltran

Y.A.V. Beltran

G. Bencedi

A. Bensaoula

S. Beole

Y. Berdnikov

A. Berdnikova

L. Bergmann

M.G. Besoiu

L. Betev

P.P. Bhaduri

First measurement of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi>D</mi></mrow><mrow><mi>s</mi><mn>1</mn></mrow></msub><mo stretchy="false">(</mo><msup><mrow><mn>1</mn></mrow><mrow><mo>+</mo></mrow></msup><mo stretchy="false">)</mo><mo stretchy="false">(</mo><mn>2536</mn><msup><mrow><mo stretchy="false">)</mo></mrow><mrow><mo>+</mo></mrow></msup></mrow></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msubsup><mrow><mi>D</mi></mrow><mrow><mi>s</mi><mn>2</mn></mrow><mrow><mo>*</mo></mrow></msubsup><mo stretchy="false">(</mo><msup><mrow><mn>2</mn></mrow><mrow><mo>+</mo></mrow></msup><mo stretchy="false">)</mo><mo stretchy="false">(</mo><mn>2573</mn><msup><mrow><mo stretchy="false">)</mo></mrow><mrow><mo>+</mo></mrow></msup></mrow></math> production in proton-proton collisions at <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msqrt><mi>s</mi></msqrt><mo>=</mo><mn>13</mn><mtext> </mtext><mtext> </mtext><mi>TeV</mi></math> at the LHC

This research explores the rapid expansion period of the early universe by applying the Chaplygin gas model, an alternative cosmological framework, to analyze the dynamics of inflationary processes. This study assesses the compatibility of three widely studied scalar field potentials with the latest observational constraints derived from the Planck datasets. Our analysis includes inflationary parameters such as slow-roll parameters, scalar power spectrum <math altimg='si1.svg'><msub><mrow><mi mathvariant='script'>P</mi></mrow><mrow><mi mathvariant='script'>R</mi></mrow></msub></math>, scalar spectral index <math altimg='si2.svg'><msub><mrow><mi>n</mi></mrow><mrow><mi>s</mi></mrow></msub></math>, dissipative ratio <italic>R</italic>, tensor-to-scalar ratio <italic>r</italic> and running of the scalar spectral index <math altimg='si100.svg'><mfrac><mrow><mi>d</mi><msub><mrow><mi>n</mi></mrow><mrow><mi>s</mi></mrow></msub></mrow><mrow><mi>d</mi><mi mathvariant='normal'>ln</mi><mo>&#8289;</mo><mi>k</mi></mrow></mfrac></math>, within the theoretical frameworks of canonical scalar field dynamics and the Chaplygin gas cosmological model. These parameters help to paint a comprehensive picture of the inflationary epoch and its impact on the observable Universe. We also address the generalized ratio of the swampland de-Sitter conjecture through the expression of <math altimg='si4.svg'><mfrac><mrow><msup><mrow><mi>T</mi></mrow><mrow><mo>&#8242;</mo></mrow></msup><mi>V</mi></mrow><mrow><msup><mrow><mi>V</mi></mrow><mrow><mo>&#8242;</mo></mrow></msup><mi>T</mi></mrow></mfrac></math> for three different potentials. We analyze inflation driven by a scalar field <italic>&#981;</italic> with decay rate <math altimg='si19.svg'><mi mathvariant='normal'>&#915;</mi><mo stretchy='false'>(</mo><mi>&#981;</mi><mo>,</mo><mi>T</mi><mo stretchy='false'>)</mo><mo linebreak='goodbreak' linebreakstyle='after'>=</mo><msub><mrow><mi>C</mi></mrow><mrow><mi>&#981;</mi></mrow></msub><mfrac><mrow><msup><mrow><mi>T</mi></mrow><mrow><mi>a</mi></mrow></msup></mrow><mrow><msup><mrow><mi>&#981;</mi></mrow><mrow><mi>a</mi><mo linebreak='badbreak' linebreakstyle='after'>&#8722;</mo><mn>1</mn></mrow></msup></mrow></mfrac></math>, where <math altimg='si52.svg'><msub><mrow><mi>C</mi></mrow><mrow><mi>&#981;</mi></mrow></msub></math> is a dimensionless coupling and <italic>a</italic> controls dissipation strength. Working in the strong dissipative regime ( <math altimg='si7.svg'><mi>R</mi><mo>&#8811;</mo><mn>1</mn></math>), we systematically investigate the background evolution and perturbation spectrum, deriving inflationary observables.

Pakistan

Shama Sadiq

Nadeem Azhar

Kazakhstan

N. Myrzakulov

S. Toktarbay

A. Muratkhan

Sanjar Shaymatov

Abdul Jawad

D-brane and exponential potentials inspire warm inflation and swampland conjecture

As a $\textit{D}$-wave partner of $$\psi (3770)$$ identified by the LHCb Collaboration, $$\psi _3(3842)$$ lies between the $$D{\bar{D}}$$ and $$D\bar{D^*}$$ thresholds. Its non- $$D{\bar{D}}$$ decay channels have attracted considerable interest. In this study, we investigate these allowed non- $$D{\bar{D}}$$ decays of $$\psi _3(3842)$$ into $\textit{PP}$, $\textit{PV}$, and $\textit{VV}$ final states using the hadronic loop mechanism, where $\textit{P}$ and $\textit{V}$ represent light pseudoscalar and vector mesons, respectively. Our results suggest that these non- $$D{\bar{D}}$$ decays of $$\psi _3(3842)$$ can be significant, with contributions primarily driven by hadronic loops. Notably, the $$\rho \pi $$ channel stands out as the main non- $$D{\bar{D}}$$ decay mode, while non- $$D{\bar{D}}$$ decay channels involving strange mesons are also sizable. These predictions could be tested in future experiments such as those at LHCb and BESIII.

Zi-Yue Bai

Bao-Jun Lai

Qin-Song Zhou

Xiang Liu

Non- $$D{\bar{D}}$$ decays into light meson pairs of the $\textit{D}$-wave charmonium $$\psi _3(3842)$$