We revisit the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>C</mi><mi>P</mi></math>-odd form factor in the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>H</mi><mi>W</mi><mi>W</mi></math> vertex within the Standard Model, which is induced only at the one-loop level when one of the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>W</mi></math> bosons is off-shell. To the best of our knowledge, the numerical evaluation of this form factor is presented for the first time. The relevant contributions from quark loops are of order <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mn>10</mn><mrow><mo>−</mo><mn>5</mn></mrow></msup></math>, well below the current experimental sensitivity. The phenomenological implications are studied through asymmetries in unpolarized and polarized observables in three-body decays.

Mexico

A.I. Hernández-Juárez

G. Tavares-Velasco

J. Martínez-Ramón

<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>C</mi><mi>P</mi></math>-odd form factor in the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>H</mi><mi>W</mi><mi>W</mi></math> vertex

We present a lattice QCD study of dilepton production in charmonium transitions, specifically focusing on the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mn>1</mn><mrow><mo>+</mo><mo>−</mo></mrow></msup><mo stretchy="false">→</mo><msup><mn>0</mn><mrow><mo>−</mo><mo>+</mo></mrow></msup></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mn>1</mn><mrow><mo>+</mo><mo>+</mo></mrow></msup><mo stretchy="false">→</mo><msup><mn>1</mn><mrow><mo>−</mo><mo>−</mo></mrow></msup></math> processes: <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>h</mi><mi>c</mi></msub><mo stretchy="false">→</mo><msub><mi>η</mi><mi>c</mi></msub><msup><mo>ℓ</mo><mo>+</mo></msup><msup><mo>ℓ</mo><mo>−</mo></msup></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>χ</mi><mrow><mi>c</mi><mn>1</mn></mrow></msub><mo stretchy="false">→</mo><mi>J</mi><mo>/</mo><mi>ψ</mi><msup><mo>ℓ</mo><mo>+</mo></msup><msup><mo>ℓ</mo><mo>−</mo></msup></math>, where <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mo>ℓ</mo><mo>=</mo><mi>e</mi></math>, <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>μ</mi></mrow></math>. The relevant hadronic matrix elements are computed using gauge field configurations generated by the Extended Twisted Mass Collaboration with <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>N</mi><mi>f</mi></msub><mo>=</mo><mn>2</mn><mo>+</mo><mn>1</mn><mo>+</mo><mn>1</mn></math> dynamical Wilson-Clover twisted-mass fermions at four lattice spacings. Simulations are performed at physical dynamical <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>u</mi></math>, <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>d</mi></math>, <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>s</mi></math>, and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>c</mi></math> quark masses, except for the coarsest lattice, where the lightest sea quark mass corresponds to a slightly heavier pion mass. A controlled continuum extrapolation is carried out. In the continuum limit for the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>h</mi><mi>c</mi></msub></math> decays, we obtain <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="normal">Γ</mi><mo stretchy="false">(</mo><msub><mi>h</mi><mi>c</mi></msub><mo stretchy="false">→</mo><msub><mi>η</mi><mi>c</mi></msub><msup><mi>e</mi><mo>+</mo></msup><msup><mi>e</mi><mo>−</mo></msup><mo stretchy="false">)</mo><mo>=</mo><mn>5.45</mn><mo stretchy="false">(</mo><mn>19</mn><mo stretchy="false">)</mo><mtext> </mtext><mtext> </mtext><mi>keV</mi></math>, and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="normal">Γ</mi><mo stretchy="false">(</mo><msub><mi>h</mi><mi>c</mi></msub><mo stretchy="false">→</mo><msub><mi>η</mi><mi>c</mi></msub><msup><mi>μ</mi><mo>+</mo></msup><msup><mi>μ</mi><mo>−</mo></msup><mo stretchy="false">)</mo><mo>=</mo><mn>0.635</mn><mo stretchy="false">(</mo><mn>22</mn><mo stretchy="false">)</mo><mtext> </mtext><mtext> </mtext><mi>keV</mi></math>. For the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>χ</mi><mrow><mi>c</mi><mn>1</mn></mrow></msub></math> decays, we find <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="normal">Γ</mi><mo stretchy="false">(</mo><msub><mi>χ</mi><mrow><mi>c</mi><mn>1</mn></mrow></msub><mo stretchy="false">→</mo><mi>J</mi><mo>/</mo><mi>ψ</mi><msup><mi>e</mi><mo>+</mo></msup><msup><mi>e</mi><mo>−</mo></msup><mo stretchy="false">)</mo><mo>=</mo><mn>2.869</mn><mo stretchy="false">(</mo><mn>90</mn><mo stretchy="false">)</mo><mtext> </mtext><mtext> </mtext><mi>keV</mi></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="normal">Γ</mi><mo stretchy="false">(</mo><msub><mi>χ</mi><mrow><mi>c</mi><mn>1</mn></mrow></msub><mo stretchy="false">→</mo><mi>J</mi><mo>/</mo><mi>ψ</mi><msup><mi>μ</mi><mo>+</mo></msup><msup><mi>μ</mi><mo>−</mo></msup><mo stretchy="false">)</mo><mo>=</mo><mn>0.1993</mn><mo stretchy="false">(</mo><mn>72</mn><mo stretchy="false">)</mo><mtext> </mtext><mtext> </mtext><mi>keV</mi></math>. Our results for the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>χ</mi><mrow><mi>c</mi><mn>1</mn></mrow></msub></math> decays show good compatibility with experimental data. However, our prediction for the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>h</mi><mi>c</mi></msub><mo stretchy="false">→</mo><msub><mi>η</mi><mi>c</mi></msub><msup><mi>e</mi><mo>+</mo></msup><msup><mi>e</mi><mo>−</mo></msup></math> decay rate is approximately <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mn>3</mn><mi>σ</mi></math> larger than the BESIII result. We also present predictions for the differential decay widths as functions of the dilepton invariant mass, <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mi>q</mi><mn>2</mn></msup></math>, and for angular observables sensitive to longitudinal transition form factors, which are inaccessible in radiative decays with real photon emission. These results constitute the first fully dynamical lattice QCD predictions for dilepton decay rates in <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>h</mi><mi>c</mi></msub></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>χ</mi><mrow><mi>c</mi><mn>1</mn></mrow></msub></math> charmonium transitions, including their differential distributions and angular observables. They provide benchmark predictions for future experimental studies.

CERN

Damir Bečirević

Italy

Roberto Di Palma

Roberto Frezzotti

Giuseppe Gagliardi

Vittorio Lubicz

Francesco Sanfilippo

Nazario Tantalo

Charmonium radiative transitions to dileptons from lattice QCD: The case of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>h</mi><mi>c</mi></msub><mo stretchy="false">→</mo><msub><mi>η</mi><mi>c</mi></msub><msup><mo>ℓ</mo><mo>+</mo></msup><msup><mo>ℓ</mo><mo>−</mo></msup></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>χ</mi><mrow><mi>c</mi><mn>1</mn></mrow></msub><mo stretchy="false">→</mo><mi>J</mi><mo>/</mo><mi>ψ</mi><msup><mo>ℓ</mo><mo>+</mo></msup><msup><mo>ℓ</mo><mo>−</mo></msup></math>

The study of large-$\textit{N}$ cases of the $\textit{O}$($\textit{N}$)-symmetric model at criticality has attracted significant attention in recent years. In particular, a recent high-precision Monte Carlo study [2] reported the most accurate estimates to date for the critical exponents $$\nu $$ , $$\eta $$ , and $$\omega $$ for $$N \ge 4$$ . Within the framework of the renormalization group (RG) – the cornerstone of the modern theory of critical phenomena – powerful computational approaches such as the $$\varepsilon $$ -expansion and non-perturbative RG are available. Since the effective expansion parameter in the $$\varepsilon $$ -expansion, $$\sigma = \frac{3}{N+8}$$ , decreases with increasing N, one expects resummation techniques to become progressively more accurate in the large-N regime. To test this expectation, we apply the entire-hypergeometric resummation algorithm developed by Shalaby et al. to the recently obtained seven-loop divergent $$\varepsilon $$ -series for $$N \ge 4$$ , yielding high-precision estimates for $$\nu $$ , $$\eta $$ , and $$\omega $$ . Our analysis confirms the anticipated improvement in accuracy with increasing N. To assess the significance of these results, we note that at the same seven-loop order the $\textit{O}$(2) case exhibits errors that are an order of magnitude larger than those obtained from experiment, Monte Carlo simulations, and conformal-field-theory analysis. In contrast, for sufficiently large N, the errors in the present work are of the same order of magnitude as those from Monte Carlo and non-perturbative RG methods, demonstrating the strong predictive power of our resummation approach in the large-N regime.

Qatar

Abouzeid Shalaby

Dependence of critical exponents accuracy on the number of fields in the $\textit{O}$($\textit{N}$)-invariant $$\phi ^4$$ model

We review the constraints on baryon inhomogeneities derived from measurements of the deuterium abundance, $\textit{D}$/$\textit{H}$, and apply them to a range of baryogenesis models. In particular, we derive bounds on electroweak baryogenesis as well as on more exotic scenarios. Our results show that, across most of the relevant parameter space, electroweak baryogenesis remains largely unconstrained by current and foreseeable $\textit{D}$/$\textit{H}$ measurements. By contrast, the constraints on alternative scenarios are significantly stronger and can exclude regions of parameter space that would otherwise remain viable.

Aleksandr Azatov

Bruno Missoni

Bounds from $\textit{D/H}$ on baryogenesis models

A new measurement of the 2H( 15C, 3He) 14B reaction was conducted to investigate proton shell evolution in neutron-rich carbon and boron isotopes. The experiment employed a radioactive beam of 15C with a higher energy at 28.3 MeV/u and a large acceptance charged particle detector array LACPU, enabling coincident measurement of high-lying unbound states in 14B that include <italic>&#960;</italic>0 <italic>p</italic> <inf>1/2</inf>- <italic>&#960;</italic>0 <italic>p</italic> <inf>3/2</inf> transitions. A newly observed 3.45(35)-MeV resonance with a statistical significance of 3.1 <italic>&#963;</italic> in 14B exhibits <italic>&#960;</italic>0 <italic>p</italic> <inf>1/2</inf>- rather than <italic>&#960;</italic>0 <italic>p</italic> <inf>3/2</inf>-dominant character according to structural model predictions. The extracted proton spectroscopic factor of 0.16 &#8239;&#177;&#8239; 0.06 for 15C <inf>g.s.</inf> not only follows the systematic decreasing trend in neutron-rich carbon isotopes but also agrees with theoretical predictions, providing clear evidence for the <italic>Z</italic> = 6 magicity in 15C. Furthermore, systematic analysis of the energy splitting between the <italic>&#960;</italic>0 <italic>p</italic> <inf>3/2</inf> and <italic>&#960;</italic>0 <italic>p</italic> <inf>1/2</inf> orbitals in <math altimg='si4.svg'><msup><mrow /><mrow><mn>12</mn><mo>&#8722;</mo><mn>14</mn></mrow></msup></math>B reinforces the robustness of this magic number in neutron-rich nuclei systems.

China

H.Y. Zhu

J.L. Lou

Y.L. Ye

D.Y. Pang

M.R. Xie

J.G. Li

C.X. Yuan

S.L. Jin

Z.H. Yang

X.F. Yang

L.S. Yang

W.L. Pu

K. Wei

Y. Chen

Z.Y. Hu

B.L. Xia

H.Y. Ge

W.W. Wan

S.Q. Liang

J.H. Chen

K. Ma

J.X. Han

D.X. Wang

Q.T. Li

Z.H. Li

J.Y. Xu

H.Y. Wu

H.J. Ong

Y.Y. Yang

S.W. Xu

J.B. Ma

Zh. Bai

K. Wang

F.F. Duan

H.R. Yang

P. Ma

X.L. Wei

T.L. Qiu

<italic>Z</italic> = 6 magicity in 15C and 14B revealed by the 2H ( 15C, 3He) 14B reaction

We study cubic interactions of $$ \mathcal{N} $$ = 2 massless integer-spin gauge supermultiplets in harmonic superspace. We construct the complete class of abelian ( , , ) cubic vertices with the minimal number of space-time derivatives. Such vertices exist only for ≥ + and universally take the form of the gauge prepotential coupled to the conserved higher-spin supercurrent. For ≠ , we find the novel complex principal supercurrent, whose real and imaginary parts generate the parity-invariant and the parity-breaking interactions, respectively. The supercurrents are constructed from gauge-invariant $$ \mathcal{N} $$ = 2 higher-spin Weyl supertensors associated with the spin- and spin- gauge multiplets. These supertensors are defined in terms of unconstrained higher-spin analytic prepotentials. We also derive the complete set of conserved component higher-spin currents associated with the ($\textit{s}$, $\textit{s}$ , $\textit{s}$ ) vertices, including both traceless currents and currents with the non-vanishing trace.

Russia

Nikita Zaigraev

Novel $$ \mathcal{N} $$ = 2 higher-spin supercurrents

We study sum rules that control the Regge limit of one-dimensional conformal field theory (CFT) correlators and relate them to dual bulk scattering processes at high energies in AdS . By imposing the condition that no scattering takes place in the bulk, these sum rules single out special solutions to crossing symmetry that describe long-range models, which can be understood as free fields in AdS with boundary interactions tuned to criticality. We test these sum rules perturbatively in several distinct theories, namely the 1d long-range versions of the Ising, $\textit{O}$($\textit{N}$) and Lee-Yang models, and find that they correctly predict the CFT data characterising these theories. Along the way we compute for the first time the leading contributions of quadruple-twist operators to the long range Ising correlator and analyse their role in the new sum rules. Finally, we explore the consequences of imposing these sum rules in a numerical bootstrap framework and find that they lead to substantial reductions in the allowed parameter space.

United Kingdom

Kausik Ghosh

France

Miguel Paulos

Noé Suchel

Canada

Zechuan Zheng

Super sum rules for long-range models

More than one dark sector particle transforming under the same symmetry provides one stable dark matter (DM) component, which undergoes coannihilation with the heavier particle(s) decaying to DM. Specific assumptions on the kinematics and on the coupling parameters may render the heavier component(s) stable and contribute as DM. The choices of the charges of the dark sector fields under transformation play a crucial role in the resultant phenomenology. In this paper, we systematically address the possibility of obtaining two scalar DM components under <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi mathvariant="script">Z</mi><mi>N</mi></msub></math> symmetry. We consider both the possibilities of DM being weakly interacting massive particles (WIMPs) or pseudofeebly interacting massive particles (pFIMPs). We elaborate upon the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi mathvariant="script">Z</mi><mn>3</mn></msub></math> symmetric model, confronting the relic density-allowed parameter space with the recent most direct and indirect search bounds and prospects. We also highlight the possible distinction of the allowed parameter space in single component and two-component cases as well as between WIMP-WIMP and WIMP-pFIMP scenarios.

India

Subhaditya Bhattacharya

Lipika Kolay

Dipankar Pradhan

Multiparticle scalar dark matter with <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi mathvariant="script">Z</mi><mi>N</mi></msub></math> symmetry

We show that the classical Batalin-Vilkovisky cohomology at negative ghost number of the spinning particle, observed in ref. [1], is removed by a Koszul-Tate resolution involving saturation of Grassmann odd variables. The model thus satisfies the axioms of Felder and Kazhdan. The AKSZ formulation of the resolved model is described. We reveal partial information on the resolution of the constrained phase space, which involves resolving the parity-shifted tangent sheaf of the light-cône. Specialising to dimension one, we describe the full resolution.

Czechia

Eugenia Boffo

Sweden

Martin Cederwall

Classical BV cohomology of the $\textit{N}$ = 1 spinning particle

We study the giant graviton integrated correlator in <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>SU</mi><mo stretchy="false">(</mo><mi>N</mi><mo stretchy="false">)</mo></mrow></math> <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="script">N</mi><mo>=</mo><mn>4</mn></math> super-Yang-Mills at finite complexified coupling <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>τ</mi></math>. Despite the formidable complexity arising from the heavy nature of the operators considered, the large-<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>N</mi></math> expansion simplifies dramatically and exhibits manifest modular invariance. At each order in <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mn>1</mn><mo>/</mo><mi>N</mi></math>, the expansion coefficients are linear combinations of nonholomorphic Eisenstein series, thus capturing the full spectrum of perturbative and nonperturbative effects in the Yang-Mills coupling. Furthermore, we find additional contributions, which are modular functions exponentially suppressed in <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>N</mi></math>. In the ’t Hooft limit, this yields an all-orders result in the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mn>1</mn><mo>/</mo><mi>N</mi></math> expansion at arbitrary coupling <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>λ</mi></math>, extending beyond prior results of leading orders. For the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi mathvariant="normal">U</mi><mo stretchy="false">(</mo><mi>N</mi><mo stretchy="false">)</mo></mrow></math> theory, we obtain a closed-form expression valid for all <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>N</mi></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>τ</mi></math> and show that the coupling-dependent sector of the large-<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>N</mi></math> expansion is universal between <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>SU</mi><mo stretchy="false">(</mo><mi>N</mi><mo stretchy="false">)</mo></mrow></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi mathvariant="normal">U</mi><mo stretchy="false">(</mo><mi>N</mi><mo stretchy="false">)</mo></mrow></math> to all orders. Crucially, we exploit the integrated correlator constraints and determine the giant graviton correlator itself to two-loop order at finite <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>N</mi></math>, previously only accessible in the planar limit.

Augustus Brown

Daniele Dorigoni

Congkao Wen

Giant Graviton Integrated Correlators at Finite Coupling and All Orders in <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mn>1</mn><mo>/</mo><mi>N</mi></math>