Hypergeometric presentation for one-loop contributing to H → Z γ

Abstract

In this paper, new analytic formulas for one-loop contributing to Higgs decay channel $H \rightarrow Z\gamma$ are presented in terms of hypergeometric functions. The calculations are performed by following the technique for tensor one-loop reduction developed in [A. I. Davydychev, Phys. Lett. B 263 (1991) 107]. For the first time, one-loop form factors for the decay process are shown which are valid at arbitrary space–time dimension $d$.

Effects of one-loop on-shell and off-shell decay H* → VV at future lepton colliders

“…As a result, the decay rates can be evaluated numerically. Analytic expressions for all one-loop form factors of Higgs decay to γγ, Zγ, ZZ channels can be found in [32,34,35].…”

“…While one-loop electroweak corrections to Higgs boson decay into γγ, Zγ, ZZ have been calculated in Refs. [31,32,33,34,36,37,38,39,40,41]. In this paper, we present one-loop on-shell and off-shell decays H → V V with V V = γγ, Zγ, ZZ.…”

One-loop on-shell and off-shell decay $H^*\rightarrow VV$ at future $e^-e^-$ collider

“…As a result, the decay rates can be evaluated numerically. Analytic expressions for all one-loop form factors of Higgs decay to γγ, Zγ, ZZ channels can be found in [32,34,35].…”

“…While one-loop electroweak corrections to Higgs boson decay into γγ, Zγ, ZZ have been calculated in Refs. [31,32,33,34,36,37,38,39,40,41]. In this paper, we present one-loop on-shell and off-shell decays H → V V with V V = γγ, Zγ, ZZ.…”

One-loop $W$ boson contributions to the decay $H\rightarrow Zγ$ in the general $R_ξ$ gauge

“…In addition, hypergeometric presentation for one-loop contribution to the amplitude of the decay H → Zγ has been presented in Ref. [24].…”