Two-loop $O(N_f{\alpha }_s^2)$ correction to the decay width of the Higgs boson to two massive fermions

Abstract

We present an analytical calculation of additional real or virtual radiation of the light fermion pair in the fermionic decay of the Higgs boson $H\to f_1{\bar{f}}_1$ for arbitrary ratios of the Higgs boson mass to the $f_1$ fermion mass. This result gives us a value of the $O(N_f{\alpha }_s^2)$ radiative correction to the inclusive decay rate $H\to f_1{\bar{f}}_1$. Using this result in the framework of the Brodsky-Mackenzie-Lepage scheme, we discuss the scale setting in the one-loop QCD correction to the decay width $H\to f_1{\bar{f}}_1$ for arbitrary relation between the Higgs boson and fermion masses.

Latex, 18 pages, 4 uuencoded figures, some misprints in formulas are corrected

References in corpus (6)

• Second Order QCD Corrections to Scalar and Pseudoscalar Higgs Decays into Massive Bottom Quarks
• Quark Mass Effects in Fermionic Decays of the Higgs Boson in $O({\alpha }_s^2)$ Perturbative QCD
• Radiation of Light Fermions in Heavy Fermion Production
• Angular Distributions of Massive Quarks and Leptons Close to Threshold
• Normalization of QCD corrections in top quark decay
• On normalization of QCD effects in $O(m_t^2)$ electroweak corrections

Cited by in corpus (16)

• The Anatomy of Electro-Weak Symmetry Breaking. I: The Higgs boson in the Standard Model
• Charged Higgs Boson Production in Bottom-Gluon Fusion
• Higgs-Boson Production via Bottom-Quark Fusion
• Heavy Quark Current Correlators to O(α_s^2)
• Higgs Boson Production and Decay at Hadron Colliders
• Decays of Scalar and Pseudoscalar Higgs Bosons into Fermions: Two-loop QCD Corrections to the Higgs-Quark-Antiquark Amplitude
• Collider constraints on light pseudoscalars
• N2HDECAY: Higgs Boson Decays in the Different Phases of the N2HDM
• Higgs Decay to Top Quarks at O(α_s^2)
• The Higgs Boson in the Standard Model - From LEP to LHC: Expectations, Searches, and Discovery of a Candidate
• Analytic Calculation of Two Loop Corrections to Heavy Quark Pair Production Vertices Induced by Light Quarks
• Decays of Higgs Bosons in the Standard Model and Beyond
• SM Higgs boson and $t\to cZ$ decays in the 2HDM type III with CP violation
• $m_b$ at $m_H$: the running bottom quark mass and the Higgs boson
• Physics impact of ILC Higgs coupling measurements: the effect of theory uncertainties
• Higgs-Boson Decays: Updates