One-loop form factors for $H\rightarrow \gamma^*\gamma^*$ in $R_{\xi}$ gauge

Khiem Hong Phan; Dzung Tri Tran

One-loop form factors for $H\rightarrow \gamma^\gamma^$ in $R_{\xi}$ gauge

High Energy Physics - Phenomenology 2021-03-19 v1

Authors: Khiem Hong Phan , Dzung Tri Tran

Abstract

In this paper, we present general one-loop form factors for $H\rightarrow \gamma^* \gamma^*$ in $R_{\xi}$ gauge, considering all cases of two on-shell, one on-shell and two off-shell for final photons. The calculations are performed in standard model and in arbitrary beyond the standard models which charged scalar particles may be exchanged in one-loop diagrams. Analytic results for the form factors are shown in general forms which are expressed in terms of the Passarino-Veltman functions. We also confirm the results in previous computations which are available for the case of two on-shell photons. The $\xi$ -independent of the result is also discussed. We find that numerical results are good stability with varying $\xi=0,1$ and $\xi\rightarrow \infty$ .

Keywords

one-loop form factors higgs decay r-xi gauge passarino-veltman functions beyond standard model gauge independence

Cite

@article{arxiv.2103.10045,
  title  = {One-loop form factors for $H\rightarrow \gamma^*\gamma^*$ in $R_{\xi}$ gauge},
  author = {Khiem Hong Phan and Dzung Tri Tran},
  journal= {arXiv preprint arXiv:2103.10045},
  year   = {2021}
}

Comments

19 pages, one Table of data