In this work, we investigate the production and decay of molecular states with quark content $cc\bar c\bar q$ and $J^P=1^+$ using a phenomenological analysis and an effective Lagrangian approach. Based on an $\textit{SU}$(3) flavor-symmetry analysis to identify golden channels, we further explore the dynamics of these processes under the molecular assumptions of ${\eta_c D^*}$ and ${J/\psi D^*}$ . Our results indicate that the production branching ratio in $B_c$ decays is sizable: it can be of order $10^{-4}$ for the molecular configuration ${{\eta}_cD^*}$ and $10^{-5}$ for the molecule ${J/\psi D^*}$ . In addition, we find that the decay widths of the two molecular configurations ${{\eta}_cD^*}$ and ${J/\psi D^*}$ are not significant, at the level of ${\cal{O}}$ ( $\text{MeV}$ ).

China

Na Li

Ye Xing

Jing-Rui Shi

Analysis of molecular state $\textit{η$_{c}$D}$ $^{*}$ and $\textit{J}$/$\textit{ψD}$ $^{*}$ in the effective Lagrangian approach * Supported by the National Natural Science Foundation of China (NSFC) (12005294)

We report stronger evidence for the $X(7200)$ state and markedly improved measurements of the $X(6900)$ resonance parameters based on a combined analysis of the di- $J/\psi$ mass spectrum using published data from LHCb, ATLAS, and CMS. Through simultaneous fits to the datasets from all three experiments, we observe the $X(6900)$ with overwhelming significance ( $ \gt 12\sigma$ ) and determine its mass and width with improved precision. For the $X(7200)$ , we find consistent signals across multiple interference models, with significances ranging from $3.7\sigma$ to $6.6\sigma$ ; in the best-fit model (the CMS three-resonance scheme), the significance reaches $6.6\sigma$ , providing substantially stronger evidence for this state. Our results underscore the essential role of interference effects in fully charmed tetraquark spectroscopy and offer new constraints on their production mechanisms at the LHC.

Yuan Wang

Ran Li

Bin Zhong

Ya-Qian Wang

Enhanced evidence of $\textit{X}$(7200) and improved measurements of $\textit{X}$(6900) parameters from a combined LHCb-ATLAS-CMS analysis * Supported by the National Natural Science Foundation of China (NSFC) (12475077)

The Kerr/CFT correspondence establishes a correspondence between extremal black holes in higher dimensions and a chiral conformal field theory (CFT) in their near-horizon limit. A generalization of this framework, known as the EVH/CFT correspondence, has been developed for four- and five-dimensional AdS black holes. It was further proposed in [ ${\rm{AdS}}_{D=6,7}$ black holes, a generalized duality between $(D-2)$ -dimensional geometry and $(D-3)$ -dimensional field theory may emerge in a suitably defined extremal vanishing horizon (EVH) limit. In this work, we show that, in the EVH limit, the near-EVH geometries of these ${\rm{AdS}}_{D=6,7}$ black holes reduce to lower-dimensional black holes whose metrics are conformally related to solutions of Einstein-Maxwell-Maxwell-dilaton (EMMD) gravity. This structural resemblance suggests a potential route toward the microscopic counting of non-AdS black hole entropy via higher-dimensional AdS/CFT techniques.

Weichao Bu

Yang Lei

Probing decoupled throats of AdS $\textit{D}$ black holes in $\textit{D}$ = 6, 7 * Supported by National Natural Science Foundation of China (NSFC) (2305081), the Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD), and the NSFC-Royal Society International Collaboration (W2421035)

We prove that off-shell massless scalar three-point Feynman integrals are self-dual under Fourier transformation. This implies that a momentum space integral can be expressed as the position space integral of the same Feynman graph with transformed edge-weights (not the dual graph) if external vertices are labeled accordingly. In particular, any off-shell massless scalar three-point Feynman integral can be expressed as a graphical function. The result follows immediately from a theorem by M. Golz, E. Panzer and the author on parametric representations of position space integrals (2015), but it was only observed by X. Jiang in 2025 in the context of four-dimensional $$ \mathcal{N} $$ = 4 Super-Yang-Mills theory. We generalize Jiang’s result and discuss the consequences of the self-duality in the context of graphical functions. In particular, we derive a new identity for graphical functions and a new twist relation for scalar integrals (Feynman periods) in $\textit{ϕ}$ theory.

Germany

Oliver Schnetz

Self-duality of massless scalar three-point amplitudes

We present a study of the inclusive charmless semileptonic $\textit{b}$ decay, $$ b\to {X}_u\ell \overline{\nu} $$ at next-to-next-to-leading order (NNLO) in perturbative QCD, with the primary aim of extracting the hadronic structure functions $\textit{W}$ at NNLO. The analysis is based on a numerical calculation of the relevant kinematic distributions using a phase-space slicing method to handle infrared-sensitive contributions from real gluon emissions. We use known results from Heavy Quark Effective Theory and Soft-Collinear Effective Theory to extract the singular terms and construct a model for the regular contributions to the structure functions at NNLO, then perform a fit to the numerical results. We use our approximate structure functions to compute various kinematic distributions and moments: the comparison with existing analytic and numerical results shows very good agreement, which is further improved including the available analytic results in the fit.

Austria

A. Broggio

Spain

B. Capdevila

United States

A. Ferroglia

Italy

P. Gambino

Structure functions for the inclusive semileptonic $\textit{b}$-quark decay at NNLO: a semi-analytic calculation

We revisit (3, 0) and (3, 3) admissible solutions obtained using the MLDE method. We show that all (3, 0) solutions can be written in terms of a universal formula involving the $\textit{F}$ hypergeometric function that takes into account the monodromy at the elliptic points. We construct (3, 3) admissible solutions from (3, 0) CFTs using a duality due to Bantay and Gannon. This enables us to compute their modular properties such as the S-matrix and the fusion rules. We find that only 7 of the 15 known (3, 3) admissible solutions have proper fusion rules.

India

Suresh Govindarajan

Akhila Sadanandan

Jagannath Santara

Quasi-characters for three-character rational conformal field theories

We construct new families of non-toric 5d SCFTs via abelian orbifolds of the Reid Pagoda, including a surprising infinite family of rank-1 theories, that evade all known classifications. Using the McKay correspondence, we derive their BPS quivers and superpotentials. The hallmark of these theories is a novel sector we dub $\textit{Pagoda matter}$, whose vacuum expectation values obstruct the Kähler moduli. This mechanism freezes the gauge coupling to infinite value, precluding a weak-coupling limit and rendering the theories intrinsically strongly coupled. Finally, we interpret these results as 5d SCFTs deformed by non-constant flavor backgrounds.

Belgium

Andrés Collinucci

United Kingdom

Fabrizio Monte

Mario Marco

Marina Moleti

Roberto Valandro

Non-toric 5d SCFTs from Reid’s Pagoda

We investigate families of 3d $$ \mathcal{N} $$ = 2 chiral quiver gauge theories conjectured to be dual to M2-branes probing toric SE singularities. Geometrically, these families correspond to toric diagrams without internal points. At the field theory level, the models are constructed via an un-higgsing procedure applied to non-chiral quivers. While the moduli space of these theories was shown to match M-theory expectations, determining the $\textit{N}$ scaling of the free energy remained an open problem for over a decade, with positive results emerging only very recently. In this work, we address this challenge by reformulating the three-sphere partition function as a hyperbolic hypergeometric integral. Using exact integral identities, we show that the free energy reduces at leading order in $\textit{N}$ to that of non-chiral quivers with chiral flavors, for which the $\textit{N}$ scaling is already established. Physically, this mathematical identity corresponds to the equivalence of three-sphere partition functions under a generalization of Giveon-Kutasov duality to chiral quivers.

Antonio Amariti

Giulia Lanzetti

$\textit{N}$ 3/2 scaling from 3d $$ \mathcal{N} $$ = 2 dualities: an alternative approach to chiral quivers

With an intent to study the combined effect of Born–Infeld field as a nonlinear electrodynamics (BI-NED) and perfect fluid dark matter (PFDM) to Einstein- $$\Lambda $$ theory of gravity, we obtain the exact charged AdS black hole solutions. Next, we study the effects of the parameters of PFDM and BI on the event horizon of these black holes. Then, we compute the conserved and thermodynamical quantities and evaluate that these thermodynamical quantities can satisfy the first law of thermodynamics. In addition, we investigate thermal stability conditions for these black hole solutions in context of canonical ensemble by using the heat capacity and the Helmholtz free energy. We study the effects of the parameters of PFDM and BI-NED on the local and global stability areas. Next, we extend our study to investigate thermodynamical properties of BI-NED AdS black holes surrounded by PFDM in extended phase space by considering the cosmological constant as a thermodynamics pressure. We, obtain the conserved and thermodynamic quantities which can satisfy the first law of thermodynamics in extended phase space. We then perform a rigorous analytical verification of the Ehrenfest equations to determine whether the critical behavior of the charged BI-NED AdS black holes surrounded by PFDM corresponds to a second-order phase transition. Our findings indicate that both Ehrenfest relations are satisfied, confirming that the black hole system undergoes a second-order phase transition at the critical point. we obtain heat engines corresponding to these black holes. The goal is to see how black holes’ parameters such as parameters of PFDM and BI-NED would affect efficiency of the heat engines. Finally, we study the geodesic structure of the spacetime by analyzing both timelike and null geodesics. The effective potential is examined to determine the conditions for stable and unstable circular orbits, as well as the behavior of the innermost stable circular orbit and the photon sphere. We show that the PFDM parameter significantly modifies the orbital structure and potential barrier, while the Born–Infeld parameter produces comparatively weaker corrections. The existence of bound, critical, and unstable trajectories highlights the dynamical impact of dark matter and nonlinear electrodynamics on particle and photon motion around the black hole.

Iran

Azerbaijan

Behzad Panah

Algeria

Bilel Hamil

Brazil

Manuel Rodrigues

Born–Infeld AdS black holes surrounded by perfect fluid dark matter

While $\textit{CP}$ models with analytic potentials are known to support finite-energy compact Q-ball and Q-shell solutions, their behavior in more complex Lagrangian frameworks remains a subject of active research. This work explores these non-topological structures within an extended Skyrme-Faddeev-type model that incorporates quartic derivative terms. In this context, harmonic time dependence and the presence of quartic terms constitute two independent stabilization mechanisms that allow the configurations to circumvent Derrick’s scaling argument. We investigate the necessary conditions for the existence of these solutions and analyze the influence of quartic terms on the resulting compactons. Specifically, we examine the scaling relationship between energy and Noether charge, expressed as $\textit{E}$($\textit{Q}$) ~ |$\textit{Q}$| . Our numerical analysis demonstrates that $\textit{n}$ < 1, which supports the stability of these solutions against spontaneous fission.

E. Colaço

P. Klimas

Poland

L. Livramento

Japan

N. Sawado

S. Yanai

Compact Q-balls and Q-shells within a $\textit{CP}$ $\textit{N}$ Skyrme-Faddeev type model