One-loop induced contributions to the rare decay of $A_0 \rightarrow h_0h_0γ$ in Two Higgs Doublet Models

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Main Authors: Tran, Dzung Tri, Hue, L. T., Nguyen, Thanh Huy, Phong, Vo Quoc, Phan, Khiem Hong
Format: Preprint
Published: 2025
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author Tran, Dzung Tri
Hue, L. T.
Nguyen, Thanh Huy
Phong, Vo Quoc
Phan, Khiem Hong
author_facet Tran, Dzung Tri
Hue, L. T.
Nguyen, Thanh Huy
Phong, Vo Quoc
Phan, Khiem Hong
contents The analytic expressions for one-loop contributions to the rare decay process $A_0 \rightarrow h_0h_0γ$ within the CP-conserving of Two Higgs Doublet Models are first reported in this paper. Analytic results are presented in term of scalar one-loop Passarino-Veltman functions following the standard output of the packages~{\tt LoopTools} and {\tt Collier}. In this context, physical results for the computed process are easily generated by using one of these packages. The numerical checks are proposed to verify for the analytic results in this paper. The checks rely on the renormalization conditions that the decay amplitude must be the ultraviolet finiteness and infrared finiteness. The amplitude consisting of an external photon always obeys the Ward identity. This will be confirmed numerically in this article. In phenomenological results, the decay rates of $A_0 \rightarrow h_0h_0γ$ are evaluated at several points in the allowed regions of the parameter space. Furthermore, the differential decay widths with respect to the invariant mass of Higgs-pair in final states are studied.
format Preprint
id arxiv_https___arxiv_org_abs_2501_15239
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle One-loop induced contributions to the rare decay of $A_0 \rightarrow h_0h_0γ$ in Two Higgs Doublet Models
Tran, Dzung Tri
Hue, L. T.
Nguyen, Thanh Huy
Phong, Vo Quoc
Phan, Khiem Hong
High Energy Physics - Phenomenology
The analytic expressions for one-loop contributions to the rare decay process $A_0 \rightarrow h_0h_0γ$ within the CP-conserving of Two Higgs Doublet Models are first reported in this paper. Analytic results are presented in term of scalar one-loop Passarino-Veltman functions following the standard output of the packages~{\tt LoopTools} and {\tt Collier}. In this context, physical results for the computed process are easily generated by using one of these packages. The numerical checks are proposed to verify for the analytic results in this paper. The checks rely on the renormalization conditions that the decay amplitude must be the ultraviolet finiteness and infrared finiteness. The amplitude consisting of an external photon always obeys the Ward identity. This will be confirmed numerically in this article. In phenomenological results, the decay rates of $A_0 \rightarrow h_0h_0γ$ are evaluated at several points in the allowed regions of the parameter space. Furthermore, the differential decay widths with respect to the invariant mass of Higgs-pair in final states are studied.
title One-loop induced contributions to the rare decay of $A_0 \rightarrow h_0h_0γ$ in Two Higgs Doublet Models
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2501.15239