We study the new $Z'$ boson as a portal for the production of Higgs bosons $h_0$ and $H_0$ predicted by the Bestest Little Higgs Model through Higgs-strahlung processes $\mu^+\mu^- \to (Z, Z') \to Zh_0, ZH_0$ . We focus on the resonant and nonresonant effects of the $Zh_0, ZH_0$ signals. In our analysis, we consider the center-of-mass energies of $\sqrt{s}=3, 4, 6, 10, 30$ TeV and integrated luminosities of ${\cal{L}}=2, 4, 6, 10, 30$ ${ {\rm{ab}}^{-1}}$ projected for a future muon collider. The possibility of performing precision measurements for Higgs bosons $h_0$ and $H_0$ is very promising for the future muon collider. Furthermore, our results may be useful to the High Energy Physics community. Complementarily, we generate and provide the Feynman rules necessary for studying processes $\mu^+\mu^- \to (Z, Z') \to Zh_0, ZH_0$ .

J.M. Martínez-Martínez

A. Gutiérrez-Rodríguez

E. Cruz-Albaro

M.A. Hernández-Ruíz

New $\textit{Z}$' boson of the bestest little Higgs model as a portal to signatures of Higgs bosons $\textit{h}$ $_{0}$ and $\textit{H}$ $_{0}$ at the future muon collider

A new manifestly spacetime-supersymmetric prescription for superstring amplitude computations is given using the pure spinor formalism which does not contain subtleties from poles in the pure spinor ghosts. This super-Poincaré covariant prescription is related by a U(5)-covariant field redefinition to the Ramond-Neveu-Schwarz amplitude prescription where the pure spinor parameterizes the choice of SO(10)/U(5). For $\textit{F}$-term scattering amplitudes which preserve a subset of the spacetime supersymmetries, the new pure spinor amplitude prescription reduces to the previous pure spinor prescription.

Brazil

Nathan Berkovits

Equivalence proof of pure spinor and Ramond-Neveu-Schwarz superstring amplitudes

We calculate the hadronic scales $$r_0,$$ $$r_1$$ and their ratio $$r_0/r_1$$ on $${N_\textrm{f}}=2+1$$ flavor QCD ensembles generated by the CLS consortium. These scales are determined from a tree-level improved definition of the static force on the lattice, which we measure using Wilson loops. Our analysis involves various continuum and chiral extrapolations of data that cover pion masses between 134 MeV and 420 MeV and five lattice spacings down to 0.039 fm. We compare the potential scales to gradient flow scales by forming corresponding ratios. We find $$r_0=0.4757(64)$$ fm at the physical point. As a byproduct of our analysis we express the $${N_\textrm{f}}=3$$ QCD Lambda parameter determined by the ALPHA Collaboration in units of the scale $$r_0$$ and obtain $$r_0 \Lambda ^{(3)}_{\overline{\textrm{MS}}} = 0.820(28).$$ Furthermore we present results for the second derivative of the potential to study its shape and compare it to phenomenological potential models.

Germany

Tom Asmussen

Roman Höllwieser

Francesco Knechtli

Tomasz Korzec

The determination of potential scales in 2+1 flavor QCD

Semiclassical quantization techniques are unreliable, if the magnitude of the quantum fluctuations becomes comparable with a classical background scale. This is the case, for example, for superstrings at temperatures close to the Hagedorn temperature. Here, we propose a non-standard treatment which aims to extend the semiclassical approach for type-II superstrings to such cases. This allows us to provide a well-posed reformulation of recent computations of the Hagedorn temperature in a large class of confining gauge theories. Along the way, we fill a gap in the literature by proving that the standard semiclassical partition function of the Green-Schwarz superstring can be made finite, by means of a suitable choice of integration measures, for any background worldsheet in a target spacetime satisfying the (type-IIA) supergravity field equations.

Italy

Tommaso Canneti

Federico Castellani

Wolfgang Mück

Vacuum configuration of winding superstrings from non-standard semiclassical quantization

We explain the ATOMKI anomaly with a very light $\textit{Z}$′ state that features non-anomalous and non-flavour-universal vector and axial-vector couplings to all leptons. This $\textit{Z}$′ comes from a theoretical framework with a spontaneously broken U(1)′ symmetry in addition to the Standard Model gauge group and is compliant with current measurements of the anomalous magnetic moments of the electron and the muon as well as beam dump experiments. The lepton flavour structure of this model allows for $\textit{Z}$′ couplings to all light neutrinos, suggesting the possibility of $\textit{Z}$′-mediated Non-Standard Interactions (NSIs) of neutrinos in matter, so that measurements of the strength parameters of the NSIs can constrain the value of the couplings. We use experimental constraints on NSIs of neutrinos using older TEXONO data and newer IceCube data. The IceCube data, in particular, strongly constrain the flavour universality of the leptonic vector current. The constraints enable us to define the region of parameter space of this theoretical scenario that can be pursued in further phenomenological analyses.

Sweden

Rikard Enberg

United Kingdom

Türkiye

Yaşar Hiçyılmaz

Stefano Moretti

Carlos Heros

Harri Waltari

Constraints on the $\textit{X}$17 boson from IceCube searches for non-standard interactions of neutrinos

We derive the modular S and T matrices that generate the modular transformations on the characters of two dimensional Carrollian and warped CFT algebras. We verify that they satisfy some of their defining properties.

Austria

Ankit Aggarwal

Joan Simón

Modular matrices of 2d Carrollian and warped CFTs

Supersymmetric rotating 1/16-BPS black holes in $\textit{AdS}$ × $\textit{S}$ are expected to capture the average degeneracy of BPS states in the dual ABJM superconformal theory for given fixed charges. This has been successfully demonstrated for the superconformal index using complexified black hole metrics, but a naive Gibbons-Hawking calculation of the actual degeneracies in the low temperature limit is invalid due to large quantum fluctuations of the near horizon AdS metric. We argue that in a particular mixed grand/canonical ensemble, these fluctuations of the near-BPS Kerr-Newman black holes are described by a version of the $$ \mathcal{N} $$ = 2 super-Schwarzian theory with SU(1,1|1) symmetry. Using this description as well as properties of ABJM, we recover the large $\textit{N}$ superconformal index and find a characteristic “mass gap” of order $\textit{N}$ between the 1/16-BPS states and the lightest near BPS state. We further make a prediction for the operator dimension spectrum above the gap in the large $\textit{N}$, low $\textit{T}$ limit. Our results are consistent with the Bekenstein-Hawking formula at large energies, random matrix theory at low energies, and the microscopic index.

United States

Matthew Heydeman

Chiara Toldo

The spectrum of near-BPS Kerr-Newman black holes and the ABJM mass gap

In this work, we investigate the geodesic motion of both massless and massive test particles in the vicinity of a spherically symmetric Finslerian Hayward-like black hole (FHBH) that is coupled to a quintessence field (QF) and carries a global monopole (GM). By examining the combined effects of the GM and QF, we observe significant deviations in the geodesic structure for both null and time-like particles when compared to the conventional BH models. Additionally, we explore spin-0 scalar field perturbations by solving the massless Klein–Gordon equation in this modified BH space-time background and analyze the influence of the Finslerian geometry, GM, and QF on the resulting scalar perturbative potential. Using the effective potential derived from null geodesics, we compute the transmission and reflection coefficients and discuss their physical implications. Furthermore, we numerically calculate the quasinormal modes (QNMs) frequencies based on the scalar perturbations potential and assess how the Finslerian modifications, along with the presence of GM and QF, affect the QNM spectrum.

India

Faizuddin Ahmed

Jordan

Ahmad Al-Badawi

İzzet Sakallı

Some observable physical properties of Finslerian Hayward-like black hole with global monopole charge and quintessence field

<p>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 <i>all-loop</i> 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.</p>

JINR

Russia

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

Complexity is a fundamental characteristic of states within a quantum system. Its use is however mostly limited to bosonic systems, inhibiting its present applicability to supersymmetric theories. This is also relevant to its application to the AdS/CFT correspondence. To address this limitation, we extend the framework of spread complexity beyond bosonic systems to include fermionic and supercoherent states. This offers a gateway to compute spread complexity analytically for any semiclassical system governed by a Hamiltonian associated with a Lie (super)algebra. This requires extending the Krylov chain to a $\textit{Krylov path}$ in a higher-dimensional lattice. A detailed analysis of supercoherent states within the super Heisenberg-Weyl and OSp(2|1) algebras elucidates distinct contributions from bosonic and fermionic degrees of freedom to the complexity. This generalisation allows us to access the semiclassical regime of the planar limit of the holographic correspondence. We then compute the spread complexity of large charge superstring states on the gravity side, which are equivalent to the dual gauge states. The resulting complexity leads to Krylov paths capturing the geometry in which the string propagates.