General one-loop formulas for loop-induced processes $gg/\gamma \gamma \rightarrow \phi_i\phi_j$ with $\phi_i\phi_j = hh,~hH,~HH$ are presented in this paper. The analytic expressions evaluated in this study are valid for a class of Higgs Extensions of the Standard Model, $\textit{e.g.,}$ Inert Doublet Higgs, Two Higgs Doublet, Zee-Babu, and Triplet Higgs Models$\textit{.}$ Analytic expressions for one-loop form factors are expressesd in terms of the basic scalar one-loop two-, three-, and four-point functions following the output format of the packages $ {\tt LoopTools}$ and $ {\tt Collier}$ . Hence, physical results can be evaluated numerically using one of these packages. The analytic results are tested using several checks such as the ultraviolet finiteness and infrared finiteness of the one-loop amplitudes. Furthermore, the amplitudes obey the ward identity due to massless gauge bosons in the initial states. This identity is also verified numerically. Regarding applications, we present the phenomenological results for the investigated processes in the Zee-Babu model as a typical example. In particular, production cross-sections for the processes $\gamma \gamma\rightarrow hh$ are scanned over the parameter space of the Zee-Babu Model.

Vietnam

Khiem Hong Phan

Dzung Tri Tran

Thanh Huy Nguyen

One-loop analytical expressions for $\textit{gg}$/$\textit{γγ}$ → ϕ$_{i}$ϕ$_{j}$ in Higgs extensions of the standard model and their applications * This research is supported by Vietnam National Foundation for Science and Technology Development (103.01-2023.16). Khiem Hong Phan and Dzung Tri Tran express their gratitude to all the valuable support from Duy Tan University, for the 30th anniversary of establishment (Nov. 11, 1994 - Nov. 11, 2024) towards ''Integral, Sustainable and Stable Development''

The present paper investigates the impact of pairing correlation on the nuclear level density (NLD) and radiative strength function (RSF) of an odd-odd and rare-earth $^{166}$Ho nucleus. By employing the exact thermal pairing (EP) solution in conjunction with both the temperature-dependent independent-particle model (EP+IPM) for the NLD and the phonon damping model (EP+PDM) for the RSF, we achieve good agreement with the experimental NLD and RSF data, which have been recently extracted by using the Oslo method. Notably, without adding any extra parameters, our calculations successfully reproduce the pygmy dipole resonances (PDR) and a portion of the strength around the region of scissor resonance (SR) in the RSF. This suggests that the SR in this nucleus may be less pronounced than that obtained in the previous analysis within the phenomenological model. These features are the consequences of the EP and the couplings of the PDM phonon to all the particle-hole (ph), particle-particle (pp), and hole-hole (hh) configurations within the EP+PDM, thus insisting on the importance of the underlying physics involved in this model. Utilizing the obtained NLD and RSF, we predict the $^{165}$Ho<math><msup><mrow><mo>(</mo><mi>n</mi><mo>,</mo><mi>γ</mi><mo>)</mo></mrow><mrow><mn>166</mn></mrow></msup></math>Ho and Maxwellian-averaged cross sections, which exhibit remarkable agreement with all the available experimental data from the Experimental Nuclear Reaction Data and Karlsruhe Astrophysical Database of Nucleosynthesis in Stars. These results reflect the imprint of the pairing correlation on those quantities.

Le Tan Phuc

Tran Vu Dong

Japan

Nguyen Dinh Dang

Bui Minh Hue

Le Thi Quynh Huong

India

Balaram Dey

Nguyen Ngoc Anh

Nguyen Quang Hung

Imprint of pairing correlation in (n, ) and Maxwellian-averaged cross sections of an odd-odd Ho nucleus

We proceed to investigate the non-Abelian T-duality of  $$AdS_{2}$$  <math> <mrow> <mi>A</mi> <mi>d</mi> <msub> <mi>S</mi> <mn>2</mn> </msub> </mrow> </math>  ,  $$AdS_{2}\times S^1$$  <math> <mrow> <mi>A</mi> <mi>d</mi> <msub> <mi>S</mi> <mn>2</mn> </msub> <mo>×</mo> <msup> <mi>S</mi> <mn>1</mn> </msup> </mrow> </math>   and  $$AdS_{3}$$  <math> <mrow> <mi>A</mi> <mi>d</mi> <msub> <mi>S</mi> <mn>3</mn> </msub> </mrow> </math>   physical backgrounds, as well as the metric of the analytic continuation of  $$AdS_{2}$$  <math> <mrow> <mi>A</mi> <mi>d</mi> <msub> <mi>S</mi> <mn>2</mn> </msub> </mrow> </math>   from the point of view of Poisson-Lie (PL) T-duality. To this end, we reconstruct these metrics of the AdS families as backgrounds of non-linear  $$\sigma $$  <math> <mi>σ</mi> </math>  -models on two- and three-dimensional Lie groups. By considering the Killing vectors of these metrics and by taking into account the fact that the subgroups of isometry Lie group of the metrics can be taken as one of the subgroups of the Drinfeld double (with Abelian duals) we look up the PL T-duality. To construct the dualizable metrics by the PL T-duality we find all subalgebras of Killing vectors that generate subgroup of isometries which acts freely and transitively on the manifolds defined by aforementioned AdS families. We then obtain the dual backgrounds for these families of AdS in such a way that we apply the usual rules of PL T-duality without further corrections. We have also investigated the conformal invariance conditions of the original backgrounds (AdS families) and their dual counterparts. Finally, by using the T-duality rules proposed by Kaloper and Meissner (KM) we calculate the Abelian T-duals of BTZ black hole up to two-loop by dualizing on the coordinates  $$ \varphi $$  <math> <mi>φ</mi> </math>   and t. When the dualizing is implemented by the shift of direction  $$\varphi $$  <math> <mi>φ</mi> </math>  , we show that the horizons and singularity of the dual spacetime are the same as in charged black string derived by Horne and Horowitz without  $$\alpha '$$  <math> <msup> <mi>α</mi> <mo>′</mo> </msup> </math>  -corrections, whereas in dualizing on the coordinate t we find a new three-dimensional black string whose structure and asymptotic nature are clearly determined. For this case, we show that the T-duality transformation changes the asymptotic behavior from  $$AdS_3$$  <math> <mrow> <mi>A</mi> <mi>d</mi> <msub> <mi>S</mi> <mn>3</mn> </msub> </mrow> </math>   to flat.

Iran

Ali Eghbali

Reza Naderi

Adel Rezaei-Aghdam

Non-Abelian T-duality of  $$AdS_{d\le 3}$$  <math> <mrow> <mi>A</mi> <mi>d</mi> <msub> <mi>S</mi> <mrow> <mi>d</mi> <mo>≤</mo> <mn>3</mn> </mrow> </msub> </mrow> </math>   families by Poisson-Lie T-duality

In this paper we derived in QCD the Balitsky-Fadin-Kuraev-Lipatov (BFKL) linear, inhomogeneous equation for the factorial moments of multiplicity distribution (<math><mrow><msub><mrow><mi>M</mi></mrow><mrow><mi>k</mi></mrow></msub></mrow></math>) from Le-Mueller-Munier equation. In particular, the equation for the average multiplicity of the color-singlet dipoles (<math><mi>N</mi></math>) turns out to be the homogeneous BFKL while <math><mrow><msub><mrow><mi>M</mi></mrow><mrow><mi>k</mi></mrow></msub><mo>∝</mo><msup><mrow><mi>N</mi></mrow><mrow><mi>k</mi></mrow></msup></mrow></math> at small <math><mi>x</mi></math>. Second, using the diffusion approximation for the BFKL kernel we show that the factorial moments are equal to <math><msub><mi>M</mi><mi>k</mi></msub><mo>=</mo><mi>k</mi><mo>!</mo><mi>N</mi><msup><mrow><mo>(</mo><mi>N</mi><mo>−</mo><mn>1</mn><mo>)</mo></mrow><mrow><mi>k</mi><mo>−</mo><mn>1</mn></mrow></msup></math> which leads to the multiplicity distribution <math><mfrac><msub><mi>σ</mi><mi>n</mi></msub><msub><mi>σ</mi><mtext>in</mtext></msub></mfrac><mo>=</mo><mfrac><mn>1</mn><mi>N</mi></mfrac><msup><mrow><mo>(</mo><mfrac><mrow><mi>N</mi><mo>−</mo><mn>1</mn></mrow><mi>N</mi></mfrac><mo>)</mo></mrow><mrow><mi>n</mi><mo>−</mo><mn>1</mn></mrow></msup></math>. We also suggest a procedure for finding corrections to this multiplicity distribution which will be useful for descriptions of the experimental data.

Chile

Eugene Levin

Multiplicity distribution of dipoles in QCD from the Le-Mueller-Munier equation

Current interpretations of the LHC results on two Higgs doublet models (2HDM) underestimate the sensitivity due to neglecting higher order effects. In this work, we revisit the impact of these effects using the current cross-section times branching ratio limits of the  $$A\rightarrow hZ, H \rightarrow VV$$  <math> <mrow> <mi>A</mi> <mo>→</mo> <mi>h</mi> <mi>Z</mi> <mo>,</mo> <mi>H</mi> <mo>→</mo> <mi>V</mi> <mi>V</mi> </mrow> </math>   and  $$H\rightarrow hh$$  <math> <mrow> <mi>H</mi> <mo>→</mo> <mi>h</mi> <mi>h</mi> </mrow> </math>   channels. With a degenerate heavy Higgs mass  $$m_\varPhi $$  <math> <msub> <mi>m</mi> <mi>Φ</mi> </msub> </math>  , we find that the LHC searches gain sensitivity to the small  $$\tan \beta $$  <math> <mrow> <mo>tan</mo> <mi>β</mi> </mrow> </math>   region after including loop corrections, even close to  $$\cos (\beta -\alpha )=0$$  <math> <mrow> <mo>cos</mo> <mo>(</mo> <mi>β</mi> <mo>-</mo> <mi>α</mi> <mo>)</mo> <mo>=</mo> <mn>0</mn> </mrow> </math>   which is not reachable at tree level for all types of 2HDM. For a benchmark point with  $$m_\varPhi =300$$  <math> <mrow> <msub> <mi>m</mi> <mi>Φ</mi> </msub> <mo>=</mo> <mn>300</mn> </mrow> </math>   GeV,  $$\tan \beta &lt;1.8(1.2)$$  <math> <mrow> <mo>tan</mo> <mi>β</mi> <mo>&lt;</mo> <mn>1.8</mn> <mo>(</mo> <mn>1.2</mn> <mo>)</mo> </mrow> </math>   can be probed for the Type-I(II) 2HDM model for  $$\cos (\beta -\alpha )=0$$  <math> <mrow> <mo>cos</mo> <mo>(</mo> <mi>β</mi> <mo>-</mo> <mi>α</mi> <mo>)</mo> <mo>=</mo> <mn>0</mn> </mrow> </math>  . When the deviation from  $$\cos (\beta -\alpha )=0$$  <math> <mrow> <mo>cos</mo> <mo>(</mo> <mi>β</mi> <mo>-</mo> <mi>α</mi> <mo>)</mo> <mo>=</mo> <mn>0</mn> </mrow> </math>   is larger, the region for which current searches have exclusion potential becomes larger.

Australia

Wei Su

Martin White

Anthony Williams

Canada

Yongcheng Wu

Exploring the low  $$\tan \beta $$  <math> <mrow> <mo>tan</mo> <mi>β</mi> </mrow> </math>   region of two Higgs doublet models at the LHC

Reliably computing the free energy in a gauge theory like QCD is a challenging and resource-demanding endeavor. We explore the possibility to obtain the associated thermodynamic anomaly from two-point functions based on a conjectured relation. This conjecture is triggered by the relation to the Tan contact in condensed matter systems. For this investigation we use state-of-the-art results for the Yang-Mills gluon two-point function from the lattice and the functional renormalization group, as well as novel Dyson-Schwinger results at finite temperature computed in the present work. This allows for a first, qualitative, test of this conjecture. The results from all methods reveal the same nontrivial temperature behavior of the subleading large momentum dependence of the gluon propagator relevant for the conjectured relation. The comparison with the expected behavior for SU(2) Yang-Mills theory is encouraging to further pursue this approach.

Austria

Ouraman Hajizadeh

Germany

Markus Q. Huber

Axel Maas

Jan M. Pawlowski

Exploring the Tan contact term in Yang-Mills theory

We discuss various improvements of the prediction for the light MSSM Higgs boson mass in the hybrid framework of the public code  $$\texttt {FeynHiggs}$$  <math> <mi>FeynHiggs</mi> </math>  , which combines fixed-order and effective field theory results. First, we discuss the resummation of logarithmic contributions proportional to the bottom-Yukawa coupling including two-loop  $$\Delta _b$$  <math> <msub> <mi>Δ</mi> <mi>b</mi> </msub> </math>   resummation. For large  $$\tan \beta $$  <math> <mrow> <mo>tan</mo> <mi>β</mi> </mrow> </math>  , these improvements can lead to large upward shifts of the Higgs mass compared to the existing fixed-order calculations. Second, we improve the implemented EFT calculation by fully taking into account the effect of  $$\mathcal{CP}$$  <math> <mi>CP</mi> </math>  -violating phases. As a third improvement, we discuss the inclusion of partial  $$\hbox {N}^3$$  <math> <msup> <mtext>N</mtext> <mn>3</mn> </msup> </math>  LL resummation. The presented improvements will be implemented into  $$\texttt {FeynHiggs}$$  <math> <mi>FeynHiggs</mi> </math>  .

Henning Bahl

Ivan Sobolev

Georg Weiglein

The light MSSM Higgs boson mass for large  $$\tan \beta $$  <math> <mrow> <mo>tan</mo> <mi>β</mi> </mrow> </math>   and complex input parameters

In a two Higgs-doublet model with <math><msub><mi>D</mi><mn>4</mn></msub></math> flavor symmetry we establish a relation between <math><mi>tan</mi><mi>β</mi></math> and the Cabibbo angle. Due to a small number of parameters, the quark Yukawa sector of the model is very predictive. The flavor changing neutral currents are small enough to allow for relatively light nonstandard scalars to pass through the flavor constraints.

Sweden

Dipankar Das

Relating the Cabibbo angle to <math><mi>tan</mi><mi>β</mi></math> in a two Higgs-doublet model

We propose two new benchmark scenarios for Higgs-boson searches in the Minimal Supersymmetric Standard Model (MSSM ). These scenarios are specifically designed for the low $$\tan \beta $$ <math><mrow><mo>tan</mo><mi>β</mi></mrow></math>  region. A light Higgs-boson mass prediction compatible with the observed value of $$125\,\hbox {GeV}$$ <math><mrow><mn>125</mn><mspace width="0.166667em"></mspace><mtext>GeV</mtext></mrow></math>  is ensured in almost the entire parameter space by employing a flexible supersymmetric (SUSY) mass scale, reaching values of up to $$10^{16}\,\hbox {GeV}$$ <math><mrow><msup><mn>10</mn><mn>16</mn></msup><mspace width="0.166667em"></mspace><mtext>GeV</mtext></mrow></math> . The MSSM Higgs-sector predictions are evaluated in an effective field theory (EFT ) framework that exhibits a Two-Higgs-Doublet-Model at the low scale. In the first scenario all SUSY particles are relatively heavy, whereas the second scenario features light neutralinos and charginos. Both scenarios are largely compatible with the most recent results from Run 2 of the LHC , and we highlight the main phenomenological features relevant for future LHC searches. In particular, we provide a detailed discussion of heavy Higgs-boson decays to neutralinos and charginos in the second scenario, and the arising collider signatures, in order to facilitate the design of dedicated LHC searches in the near future.

Stefan Liebler

Tim Stefaniak

MSSM Higgs benchmark scenarios for Run 2 and beyond: the low $$\tan \beta $$ <math><mrow><mo>tan</mo><mi>β</mi></mrow></math>  region

Inspired by the peak structure observed by recent DAMPE experiment in e+e- cosmic-ray spectrum, we consider a scalar dark matter (DM) model with gauged U(1)Le-Lμ symmetry, which is the most economical anomaly-free theory to potentially explain the peak by DM annihilation in nearby subhalo. We utilize the process χχ→Z′Z′→ll¯l′l¯′ , where χ , Z′ , l(′) denote the scalar DM, the new gauge boson and l(′)=e,μ , respectively, to generate the e+e- spectrum. By fitting the predicted spectrum to the experimental data, we obtain the favored DM mass range mχ≃3060-100+80GeV and Δm≡mχ-mZ′≲14GeV at 68% Confidence Level (C.L.). Furthermore, we determine the parameter space of the model which can explain the peak and meanwhile satisfy the constraints from DM relic abundance, DM direct detection and the collider bounds. We conclude that the model we consider can account for the peak, although there exists a tension with the constraints from the LEP-II bound on mZ′ arising from the cross section measurement of e+e-→Z′∗→e+e- .

China

Junjie Cao

Lei Feng

Xiaofei Guo

Liangliang Shang

Fei Wang

South Korea

Peiwen Wu

Lei Zu

Explaining the DAMPE data with scalar dark matter and gauged U(1)Le-Lμ interaction