One-loop Form Factors for \(H\rightarrow \gamma^*\gamma^*\) in \(R_{\xi}\) Gauge

Khiem Hong Phan, Dzung Tri Tran
Author affiliations

Authors

  • Khiem Hong Phan Institute of Fundamental and Applied Sciences, Duy Tan University, Ho Chi Minh City 700000, VietnamFaculty of Natural Sciences, Duy Tan University, Da Nang City 550000, Vietnam
  • Dzung Tri Tran University of Science Ho Chi Minh City, 227 Nguyen Van Cu, District 5, HCM City, Vietnam; Vietnam National University Ho Chi Minh City, Linh Trung Ward, Thu Duc District, Ho Chi Minh city, Vietnam

DOI:

https://doi.org/10.15625/0868-3166/16022

Keywords:

One-loop corrections, analytic methods for Quantum Field Theory, Dimensional regu- larization, Higgs phenomenology.

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 \(\xi\rightarrow \infty\).

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Published

05-01-2022

How to Cite

[1]
K. H. Phan and D. T. Tran, “One-loop Form Factors for \(H\rightarrow \gamma^*\gamma^*\) in \(R_{\xi}\) Gauge”, Comm. Phys., vol. 32, no. 1, p. 77, Jan. 2022.

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