General one-loop formulas for and its applications

Vo Van On; Dzung Tri Tran; Chi Linh Nguyen; Khiem Hong Phan

doi:10.1140/epjc/s10052-022-10225-z

2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2022) 82: 277
https://doi.org/10.1140/epjc/s10052-022-10225-z

Regular Article - Theoretical Physics

General one-loop formulas for $H \to f \bar{f} γ$ $H\rightarrow f\bar{f}\gamma$ and its applications

Vo Van On¹, Dzung Tri Tran², Chi Linh Nguyen² and Khiem Hong Phan³^,4^d

¹ Institute of Applied Technology, Thu Dau Mot University, 75000, Thu Dau Mot City, Binh Duong, Vietnam
² University of Science Ho Chi Minh City, 227 Nguyen Van Cu, District 5, Ho Chi Minh City, Vietnam
³ Institute of Fundamental and Applied Sciences, Duy Tan University, 700000, Ho Chi Minh City, Vietnam
⁴ Faculty of Natural Sciences, Duy Tan University, 550000, Da Nang City, Vietnam

^d phanhongkhiem@duytan.edu.vn

Received: 15 November 2021
Accepted: 18 March 2022
Published online: 31 March 2022

Abstract

General one-loop contributions to the decay processes $H \to f \bar{f} γ$ $H\rightarrow f\bar{f}\gamma$ and its applications are presented in this paper. We consider all possible contributions of the additional heavy vector gauge bosons, heavy fermions, and charged (also neutral) scalar particles propagating in Feynman loop diagrams. Therefore, analytic results are valid in a wide class of models beyond the Standard Model. Analytic formulas for the form factors are expressed in terms of Passarino-Veltman functions in the standard notations of LoopTools. Hence, the decay rates can be evaluated numerically by using this package. The computations are then applied to the cases of the Standard Model, $U {(1)}_{B - L}$ $U(1)_{B-L}$ extension of the Standard Model as well as Two Higgs Doublet Model. Phenomenological results for all the above models are studied. We observe that the effects of new physics are sizable contributions and these can be probed at future colliders.

© The Author(s) 2022

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