The discovery of numerous new hadrons over the past two decades has provided unprecedented opportunities to understand the nonperturbative QCD and hadron structure. The hadronic molecule picture plays an important role in explaining these new hadrons and enriching the configurations of exotic hadronic states. In this Letter, using the model-independent <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>D</mi><mi>K</mi></math> potential extracted from the relevant experimental data, a <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>0</mn><mrow><mo>−</mo><mo>−</mo></mrow></msup></math> <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mover accent="true"><mi>D</mi><mo stretchy="false">¯</mo></mover><mi>s</mi></msub><mi>D</mi><mi>K</mi></math> three-body hadronic molecule is predicted with a mass of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msubsup><mrow><mn>4310</mn></mrow><mrow><mo>−</mo><mn>24</mn></mrow><mrow><mo>+</mo><mn>14</mn></mrow></msubsup><mtext> </mtext><mtext> </mtext><mi>MeV</mi></mrow></math>. This state shows decoupling to conventional <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>c</mi><mover accent="true"><mi>c</mi><mo stretchy="false">¯</mo></mover></math> charmonia or the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mover accent="true"><mi>D</mi><mo stretchy="false">¯</mo></mover><mi>s</mi></msub><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> two-body molecular state. It can be regarded as a compelling three-body hadronic molecular candidate. We further demonstrate that the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mi>B</mi><mo>+</mo></msup><mo stretchy="false">→</mo><msup><mi>D</mi><mrow><mo>*</mo><mo>±</mo></mrow></msup><msup><mi>D</mi><mo>∓</mo></msup><msup><mi>K</mi><mo>+</mo></msup></math> decays could be promising channels for searching for the predicted state in future high-luminosity LHCb runs.

China

Tian-Wei Wu

Ming-Zhu Liu

Li-Sheng Geng

Implication of the Existence of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mi>J</mi></mrow><mrow><mi>P</mi><mi>C</mi></mrow></msup><mo>=</mo><msup><mrow><mn>0</mn></mrow><mrow><mo>−</mo><mo>−</mo></mrow></msup><mtext> </mtext><msub><mrow><mover accent="true"><mrow><mi>D</mi></mrow><mrow><mo stretchy="false">¯</mo></mrow></mover></mrow><mrow><mi>s</mi></mrow></msub><mi>D</mi><mi>K</mi></mrow></math> Bound State on the Nature of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msubsup><mrow><mi>D</mi></mrow><mrow><mi>s</mi><mn>0</mn></mrow><mrow><mo>*</mo></mrow></msubsup><mo stretchy="false">(</mo><mn>2317</mn><mo stretchy="false">)</mo></mrow></math>, and a New Configuration of Exotic State

We explore a centaur geometry in Jackiw-Teitelboim gravity, which is an asymptotically anti–de Sitter (AdS) spacetime but in the IR admits a de Sitter (dS) bubble, with another AdS geometry in the deep IR. Thus, this geometry admits a holographic dual in the sense that it is asymptotically AdS. In an attempt to understand this geometry, we calculate the density of states of the putative boundary dual for such mixed geometries by evaluating the on-shell action. We compute the density of states analytically in the classical limit. The resultant density of states suggests that the degrees of freedom in the IR are reduced in such a putative boundary theory due to the IR modification corresponding to the dS bubble.

Japan

Taiwan

Norihiro Iizuka

Sunil Kumar Sake

Note on a centaur geometry: Probing IR de Sitter spacetime holography

Understanding the late-time acceleration of the Universe is one of the major challenges in cosmology today. In this paper, we present a new scalar field model corresponding to a generalised axion-like potential. In fact, this model can be framed as a quintessence model based on physically motivated considerations. This potential is capable of alleviating the coincidence problem through a tracking regime. We will as well prove that this potential allows for a late-time acceleration period induced by an effective cosmological constant, which is reached without fine-tuning the initial conditions of the scalar field. In our model, the generalised axion field fuels the late-time acceleration of the Universe rather than fuelling an early dark energy era. Additionally, we will show how the late-time transition to dark energy dominance could be favoured in this model, since the density parameter of the scalar field will rapidly grow in the late phase of the tracking regime.

Spain

Carlos Boiza

Mariam Bouhmadi-López

Speeding up the Universe with a generalised axion-like potential

If neutrinoless double beta decay is discovered, the next natural step would be understanding the lepton number violating physics responsible for it. Several alternatives exist beyond the exchange of light neutrinos. Some of these mechanisms can be distinguished by measuring phase-space observables, namely the opening angle cos $\textit{θ}$ among the two decay electrons, and the electron energy spectra, $\textit{T}$ and $\textit{T}$ . In this work, we study the statistical accuracy and precision in measuring these kinematic observables in a future xenon gas detector with the added capability to precisely locate the decay vertex. For realistic detector conditions (a gas pressure of 10 bar and spatial resolution of 4 mm), we find that the average $$ \overline{\cos\ \theta } $$ and $$ \overline{T_1} $$ values can be reconstructed with a precision of 0.19 and 110 keV, respectively, assuming that only 10 neutrinoless double beta decay events are detected.

M. Martínez-Vara

United States

K. Mistry

F. Pompa

B. Jones

J. Martín-Albo

M. Sorel

C. Adams

United Kingdom

H. Almazán

V. Álvarez

B. Aparicio

A. Aranburu

Israel

L. Arazi

I. Arnquist

F. Auria-Luna

S. Ayet

Portugal

C. Azevedo

K. Bailey

F. Ballester

M. Barrio-Torregrosa

A. Bayo

J. Benlloch-Rodríguez

F. Borges

A. Brodolin

N. Byrnes

S. Cárcel

A. Castillo

E. Church

L. Cid

C. Conde

T. Contreras

F. Cossío

R. Coupe

E. Dey

G. Díaz

C. Echevarria

M. Elorza

J. Escada

R. Esteve

R. Felkai

L. Fernandes

P. Ferrario

A. Ferreira

F. Foss

Z. Freixa

J. García-Barrena

J. Gómez-Cadenas

J. Grocott

R. Guenette

J. Hauptman

C. Henriques

J. Hernando Morata

P. Herrero-Gómez

V. Herrero

C. Hervés Carrete

Y. Ifergan

F. Kellerer

L. Larizgoitia

A. Larumbe

P. Lebrun

F. Lopez

N. López-March

R. Madigan

R. Mano

A. Marques

G. Martínez-Lema

R. Miller

J. Molina-Canteras

F. Monrabal

C. Monteiro

F. Mora

K. Navarro

P. Novella

A. Nuñez

D. Nygren

E. Oblak

J. Palacio

B. Palmeiro

A. Para

I. Parmaksiz

A. Pazos

J. Pelegrin

M. Pérez Maneiro

M. Querol

J. Renner

I. Rivilla

C. Rogero

L. Rogers

B. Romeo

C. Romo-Luque

V. San Nacienciano

F. Santos

J. Santos

M. Seemann

I. Shomroni

P. Silva

A. Simón

S. Soleti

J. Soto-Oton

J. Teixeira

S. Teruel-Pardo

Reconstructing neutrinoless double beta decay event kinematics in a xenon gas detector with vertex tagging

We prove the conjecture proposed by Hartman, Keller and Stoica (HKS) [1]: the grand-canonical free energy of a unitary 2D CFT with a sparse spectrum below the scaling dimension $$ \frac{c}{12} $$ + $\textit{ϵ}$ and below the twist $$ \frac{c}{12} $$ is universal in the large $\textit{c}$ limit for all $\textit{β}$ $\textit{β}$ ≠ 4$\textit{π}$ .

India

Indranil Dey

Sridip Pal

Switzerland

Jiaxin Qiao

A universal inequality on the unitary 2D CFT partition function

In this work, we investigate local quench dynamics in two-dimensional conformal field theories using Krylov space methods. We derive Lanczos coefficients, spread complexity, and Krylov entropies for local joining and splitting quenches in theories on an infinite line, a circle, a finite interval, and at finite temperature. We examine how these quantities depend on the central charge of the underlying conformal field theory and find that both spread complexity and Krylov entropy are proportional to it. Interestingly, Krylov entropies evolve logarithmically with time, mirroring standard entanglement entropies, making them useful for extracting the central charge. In the large central charge limit, using holography, we establish a connection between the rate of spread complexity and the proper momentum of the tip of the end-of-the world brane, which probes the bulk analogously to a point particle. Our results further demonstrate that spread complexity and Krylov entropies are powerful tools for probing non-equilibrium dynamics of interacting quantum systems.

Poland

Sweden

Pawel Caputa

Giuseppe Giulio

Local quenches from a Krylov perspective

We investigate cosmic censorship in anti–de Sitter space in holographic models in which the ground state is described by a good singularity. These include supersymmetric truncations of string/M theory, for which a positive-energy theorem holds. At the boundary, our solutions describe a boost-invariant fluid in which the temperature decreases monotonically with time. On the gravity side, they correspond to black-brane spacetimes with a receding horizon. In classical gravity, curvature invariants at the horizon grow without bound. In the full theory this regime may or may not be reached. In some cases it is avoided by a phase transition to a regular geometry. In others it is reached but the boundary hydrodynamic evolution can be continued, provided the equation of state at parametrically small energies is known. Both cases require the inclusion of finite-<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>N</mi></mrow></math> or finite-coupling effects.

Netherlands

Marc Aragonès Fontboté

David Mateos

Guillem Pérez Martín

CERN

Wilke van der Schee

Javier G. Subils

Cosmic Censorship in a Dual Collider

Following up on our earlier study [J. Bardhan et al., <a href="http://dx.doi.org/10.1103/PhysRevD.107.115001">Phys. Rev. D 107, 115001 (2023)</a>], we investigate the LHC prospects of pair-produced vectorlike <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>B</mi></mrow></math> quarks decaying exotically to a new gauge-singlet (pseudo)scalar field <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="normal">Φ</mi></math> and a <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>b</mi></math> quark. After the electroweak symmetry breaking, the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="normal">Φ</mi></math> decays predominantly to <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>g</mi><mi>g</mi><mo>/</mo><mi>b</mi><mi>b</mi></math> final states, leading to a fully hadronic <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mn>2</mn><mi>b</mi><mo>+</mo><mn>4</mn><mi>j</mi></math> or <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mn>6</mn><mi>b</mi></math> signature. Because of the large Standard Model background and the lack of leptonic handles, it is a difficult channel to probe. To overcome the challenge, we employ a hybrid deep learning model containing a graph neural network followed by a deep neural network. We estimate that such a state-of-the-art deep learning analysis pipeline can lead to a performance comparable to that in the semileptonic mode, taking the discovery (exclusion) reach up to about <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi>M</mi></mrow><mrow><mi>B</mi></mrow></msub><mo>=</mo><mn>1.8</mn><mo stretchy="false">(</mo><mn>2.4</mn><mo stretchy="false">)</mo><mtext> </mtext><mtext> </mtext><mi>TeV</mi></mrow></math> at HL-LHC when <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>B</mi></math> decays fully exotically, i.e., <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>BR</mi><mo stretchy="false">(</mo><mi>B</mi><mo stretchy="false">→</mo><mi>b</mi><mi mathvariant="normal">Φ</mi><mo stretchy="false">)</mo><mo>=</mo><mn>100</mn><mo>%</mo></mrow></math>.

Jai Bardhan

Tanumoy Mandal

Subhadip Mitra

Cyrin Neeraj

Mihir Rawat

Tagging fully hadronic exotic decays of the vectorlike <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>B</mi></mrow></math> quark using a graph neural network

We present a Bayesian holographic model constructed by integrating the equation of state and baryon number susceptibility at zero chemical potential from lattice quantum chromodynamics (QCD). The model incorporates error estimates derived from lattice data. With this model, we systematically investigate the thermodynamic properties of the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mn>2</mn><mo>+</mo><mn>1</mn></mrow></math>-flavor QCD system. Using Bayesian inference, we perform precise calibration of the model parameters and determined the critical end point (CEP) position under the maximum a posterior (MAP) estimation to be <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mo stretchy="false">(</mo><msup><mi>T</mi><mi>c</mi></msup><mo>,</mo><msubsup><mi>μ</mi><mi>B</mi><mi>c</mi></msubsup><mo stretchy="false">)</mo><mo>=</mo><mo stretchy="false">(</mo><mn>0.0859</mn><mtext> </mtext><mtext> </mtext><mi>GeV</mi><mo>,</mo><mn>0.742</mn><mtext> </mtext><mtext> </mtext><mi>GeV</mi><mo stretchy="false">)</mo></math>. Additionally, we predict the CEP positions within 68% and 95% confidence levels, yielding <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mo stretchy="false">(</mo><msup><mi>T</mi><mi>c</mi></msup><mo>,</mo><msubsup><mi>μ</mi><mi>B</mi><mi>c</mi></msubsup><msub><mo stretchy="false">)</mo><mrow><mn>68</mn><mo>%</mo></mrow></msub><mo>=</mo><mo stretchy="false">(</mo><mn>0.0820</mn><mo>−</mo><mn>0.0889</mn><mo>,</mo><mn>0.71</mn><mo>−</mo><mn>0.77</mn><mo stretchy="false">)</mo><mtext> </mtext><mtext> </mtext><mi>GeV</mi></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mo stretchy="false">(</mo><msup><mi>T</mi><mi>c</mi></msup><mo>,</mo><msubsup><mi>μ</mi><mi>B</mi><mi>c</mi></msubsup><msub><mo stretchy="false">)</mo><mrow><mn>95</mn><mo>%</mo></mrow></msub><mo>=</mo><mo stretchy="false">(</mo><mn>0.0816</mn><mo>−</mo><mn>0.0898</mn><mo>,</mo><mn>0.71</mn><mo>−</mo><mn>0.79</mn><mo stretchy="false">)</mo><mtext> </mtext><mtext> </mtext><mi>GeV</mi></math>, respectively. Moreover, to validate the reliability and predictive power of our approach, we conduct a comprehensive comparison between our predictions and potential CEP locations proposed by other theoretical models. This work not only establishes a novel Bayesian framework for holographic modeling but also provides valuable insights and theoretical support for exploring phase transitions in strongly interacting matter under extreme conditions.

Liqiang Zhu

Italy

Xun Chen

Germany

Kai Zhou

Hanzhong Zhang

Mei Huang

Bayesian inference of the critical end point in a (<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mn>2</mn><mo>+</mo><mn>1</mn></mrow></math>)-flavor system from holographic QCD

We apply the result of Kenneth and Klich [<a href="http://dx.doi.org/10.1103/PhysRevLett.97.160401">Phys. Rev. Lett. 97, 160401 (2006)</a>] to derive a theorem for two objects coupled to a Dirac field. We demonstrate that a sufficient condition for the Casimir interaction to be repulsive is for their geometric configuration to be odd under the same reflection operation considered in that work.