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High Energy Physics - Phenomenology (hep-ph)

Wed, 28 Jun 2023

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1.Theoretical study of scalar meson $a_0(1710)$ in the $η_c \to {\bar{K}}^0K^+π^- $ reaction

Authors:Yan Ding, Xiao-Hui Zhang, Meng-Yuan Dai, En Wang, De-Min Li, Li-Sheng Geng, Ju-Jun Xie

Abstract: We investigate the process $\eta_c \to {\bar{K}}^0K^+\pi^-$ by taking into account the $S$-wave ${K^*\bar{K}^*}$ and $\rho\omega$ interactions within the unitary coupled-channel approach, where the scalar meson $a_0(1710)$ is dynamically generated. In addition, the contributions from the intermediate resonances $K_0^*(1430)^{-}\to {\bar{K}}^0\pi^- $ and $K_0^*(1430)^{0}\to K^+\pi^-$ are also considered. We find a significant dip structure around 1.8~GeV, associated to the $a_0(1710)$, in the ${{\bar{K}}^0K^+}$ invariant mass distribution, and the clear peaks of the $K_0^*(1430)$ in the ${\bar{K}}^0\pi^-$ and $K^+\pi^-$ invariant mass distributions, consistent with the {\it BABAR} measurements. We further estimate the branching fractions $\mathcal{B}(\eta_c \to \bar{K}^{*0}K^{\ast+}\pi^-)= 5.5\times10^{-3}$ and $\mathcal{B}(\eta_c \to \omega\rho^+\pi^-)= 7.9\times10^{-3}$. Our predictions can be tested by the BESIII and BelleII experiments in the future.

2.The roles of the $T_{c\bar{s}0}(2900)^0$ and $D_0^*(2300)$ in the process $B^-\to D_s^+K^-π^-$

Authors:Wen-Tao Lyu, Yun-He Lyu, Man-Yu Duan, De-Min Li, Dian-Yong Chen, En Wang

Abstract: Motivated by the recent LHCb observations of $T_{c\bar{s}0}(2900)^0$ and $T_{c\bar{s}0}(2900)^{++}$ in the processes $B^0\to\bar{D}^0D_s^+\pi^-$ and $B^+\to\bar{D}^0D_s^+\pi^+$, we have investigated the decay $B^-\to D_s^+K^-\pi^-$ by taking into account the contributions from the $S$-wave vector-vector interactions, and the $S$-wave $D^+_s K^-$ interactions. Our results show that the $D_s^+K^-$ invariant mass distribution has an enhancement structure near the threshold, associated to the $D^*_0(2300)$, which is in good agreement with the Belle measurements. We have also predicted the $D^+_s\pi$ invariant mass distribution and the Dalitz plot, which show the significant signal of the $T_{c\bar{s}0}(2900)$. Our results could be tested by the Belle II and LHCb experiments in the future.

3.Heavy neutral 2HDM Higgs Boson Pair Production at CLIC Energies

Authors:Majid Hashemi, Marieh Molanaei

Abstract: In this work, the neutral Higgs boson pair production is analyzed at Compact Linear Collider (CLIC) to be operating at center of mass energies $\sqrt{s}$=1400 GeV (stage 2) and $\sqrt{s}$=3000 GeV (stage 3). The Higgs bosons to be searched for are neutral CP-even (H) and CP-odd (A) within the framework of two Higgs doublet model (2HDM) in the mass range 300 < mH/A < 1000 GeV. All types of the CP-conserving model are studied and the signal observability is evaluated taking into account the main SM background processes like ZZ, tt and the SM-like Higgs boson associated production (hZ). Results are presented for a set of model parameters and Higgs boson masses in terms of signal distributions over the background as well as the integrated luminosity needed for 5{\sigma} discovery. It is shown that the heavy mass region is well observable at CLIC in types 3 (flipped) and 4 (lepton-specific) in the regions not excluded by LHC so far, while in type 1 the signal observation is challenging due to the large jet multiplicity in the tt final state.

4.A Pythagoras-like theorem for CP violation in neutrino oscillations

Authors:Shu Luo, Zhi-zhong Xing

Abstract: It is well known that the golden appearance channels of neutrino oscillations are $\nu^{}_{\mu} \to \nu^{}_{e}$ and $\overline{\nu}^{}_{\mu} \to \overline{\nu}^{}_{e}$, and their probabilities in vacuum are determined by three CP-conserving flavor mixing factors ${\cal R}^{}_{ij} \equiv {\rm Re} (U^{}_{\mu i} U^{}_{e j} U^{*}_{\mu j} U^{*}_{e i})$ and the universal Jarlskog invariant of CP violation ${\cal J}^{}_{\nu} \equiv (-1)^{i+j} {\rm Im} (U^{}_{\mu i} U^{}_{e j} U^{*}_{\mu j} U^{*}_{e i})$ (for $i, j = 1, 2, 3$ and $i < j$) with $U$ being the $3 \times 3$ Pontecorvo-Maki-Nakagawa-Sakata matrix. We show that the magnitude of ${\cal J}^{}_{\nu}$ can be calculated from ${\cal J}^{2}_{\nu} = {\cal R}^{}_{12} {\cal R}^{}_{13} + {\cal R}^{}_{12} {\cal R}^{}_{23} + {\cal R}^{}_{13} {\cal R}^{}_{23}$ which holds as a natural consequence of the unitarity of $U$, and this Pythagoras-like relation provides a novel cross-check of the result of ${\cal J}^{}_{\nu}$ that will be directly measured in the next-generation $\nu^{}_{\mu} \to \nu^{}_{e}$ and $\overline{\nu}^{}_{\mu} \to \overline{\nu}^{}_{e}$ oscillation experiments. Terrestrial matter effects on ${\cal J}^{}_{\nu}$ and ${\cal R}^{}_{ij}$ are also discussed.

5.Schwinger poles of the three-gluon vertex: symmetry and dynamics

Authors:A. C. Aguilar, M. N. Ferreira, B. M. Oliveira, J. Papavassiliou, L. R. Santos

Abstract: The implementation of the Schwinger mechanism endows gluons with a nonperturbative mass through the formation of special massless poles in the fundamental QCD vertices; due to their longitudinal character, these poles do not cause divergences in on-shell amplitudes, but induce detectable effects in the Green's functions of the theory. Particularly important in this theoretical setup is the three-gluon vertex, whose pole content extends beyond the minimal structure required for the generation of a gluon mass. In the present work we analyze these additional pole patterns by means of two distinct, but ultimately equivalent, methods: the Slavnov-Taylor identity satisfied by the three-gluon vertex, and the nonlinear Schwinger-Dyson equation that governs the dynamical evolution of this vertex. Our analysis reveals that the Slavnov-Taylor identity imposes strict model-independent constraints on the associated residues, preventing them from vanishing. Approximate versions of these constraints are subsequently recovered from the Schwinger-Dyson equation, once the elements responsible for the activation of the Schwinger mechanism have been duly incorporated. The excellent coincidence between the two approaches exposes a profound connection between symmetry and dynamics, and serves as a nontrivial self-consistency test of this particular mass generating scenario.

6.Inhomogeneous condensation in the Gross-Neveu model in non-integer spatial dimensions $1 \leq d < 3$

Authors:Laurin Pannullo

Abstract: The Gross-Neveu model in the $N \to \infty$ approximation in $d=1$ spatial dimensions exhibits a chiral inhomogeneous phase (IP), where the chiral condensate has a spatial dependence that spontaneously breaks translational invariance and the $\mathbb{Z}_2$ chiral symmetry. This phase is absent in $d=2$, while in $d=3$ its existence and extent strongly depends on the regularization and the value of the finite regulator. This work connects these three results smoothly by extending the analysis to non-integer spatial dimensions $1 \leq d <3$, where the model is fully renormalizable. To this end, we adapt the stability analysis, which probes the stability of the homogeneous ground state under inhomogeneous perturbations, to non-integer spatial dimensions. We find that the IP is present for all $d<2$ and vanishes exactly at $d=2$. Moreover, we find no instability towards an IP for $2\leq d<3$, which suggests that the IP in $d=3$ is solely generated by the presence of a regulator.

7.Corrections to the Forward Limit Dispersion Relations for $γ Z$-Exchange Contributions

Authors:Qian-Qian Guo, Hai-Qing Zhou

Abstract: In the past fifteen years, dispersion relations (DRs) in the forward limit have been widely accepted as a model-independent method for estimating the $\gamma Z$-exchange contributions to the parity asymmetry $A_{\textrm{PV}}$ in elastic $ep$ scattering. In this work, for the first time, we estimate the corrections to these DRs. Firstly, we analyze the properties of $A_{\textrm{PV}}$ based on a general formalism, and discuss the possibility of the DRs breaking down due to two kinematic poles in $A_{\textrm{PV}}$. Then, we use point-like interactions as an example to illustrate the exact breakdown of these DRs at the experimental energy regions. Furthermore, by using the effective low-energy interactions, we estimate the $\gamma Z$-exchange contributions for the upcoming P2 experiment, and the results indicate that the correction to the forward limit DR for $\Box_{\gamma Z}^{V}$ is abot 47\%, which is significantly larger than the naive expectation prior to this study.

8.Associated production of a W boson with a top-antitop quark pair: next-to-next-to-leading order QCD predictions for the LHC

Authors:Luca Buonocore, Simone Devoto, Massimiliano Grazzini, Stefan Kallweit, Javier Mazzitelli, Luca Rottoli, Chiara Savoini

Abstract: The production of a top-antitop quark pair in association with a W boson (ttW) is one of the heaviest signatures currently probed at the Large Hadron Collider (LHC). Since the first observation reported in 2015 the corresponding rates have been found to be consistently higher than the Standard Model predictions, which are based on next-to-leading order (NLO) calculations in the QCD and electroweak (EW) interactions. We present the first next-to-next-to-leading order (NNLO) QCD computation of ttW production at hadron colliders. The calculation is exact, except for the finite part of the two-loop virtual corrections, which is computed using two different approaches that lead to consistent results within their uncertainties. We combine the newly computed NNLO QCD corrections with the complete NLO QCD+EW results, thus obtaining the most advanced perturbative prediction available to date for the ttW inclusive cross section. The tension with the latest ATLAS and CMS results remains at the $1\sigma-2\sigma$ level.

9.PTArcade

Authors:Andrea Mitridate, David Wright, Richard von Eckardstein, Tobias Schröder, Jonathan Nay, Ken Olum, Kai Schmitz, Tanner Trickle

Abstract: This is a lightweight manual for PTArcade, a wrapper of ENTERPRISE and ceffyl that allows for easy implementation of new-physics searches in PTA data. In this manual, we describe how to get PTArcade installed (either on your local machine or an HPC cluster). We discuss how to define a stochastic or deterministic signal and how PTArcade implements these signals in PTA-analysis pipelines. Finally, we show how to handle and analyze the PTArcade output using a series of utility functions that come together with PTArcade.

10.Effects of the quark flavour thresholds in the hadronic vacuum polarization contributions to the muon anomalous magnetic moment

Authors:A. V. Nesterenko

Abstract: The equivalent representations for the hadronic vacuum polarization contributions to the muon anomalous magnetic moment $a^{\text{HVP}}_{\mu}$ in the presence of the quark flavour thresholds are studied. Specifically, the explicit relations between the contributions given by the integration over a finite kinematic interval to $a^{\text{HVP}}_{\mu}$ expressed in terms of the hadronic vacuum polarization function, Adler function, and the $R$-ratio of electron-positron annihilation into hadrons are derived. It is shown that the quark flavour thresholds of the hadronic vacuum polarization function generate additional contributions to $a^{\text{HVP}}_{\mu}$ expressed in terms of the Adler function and the $R$-ratio and the explicit expressions for such contributions are obtained. The commonly employed dispersion relations, which bind together hadronic vacuum polarization function, Adler function, and $R$-ratio, are extended to account for the effects due to the quark flavour thresholds. The examined additional contributions due to the heavy quark thresholds to $a^{\text{HVP}}_{\mu}$ expressed in terms of the $R$-ratio appear to be quite sizable, that can be of a particular relevance for the data-driven method of assessment of the hadronic part of the muon anomalous magnetic moment.