Two-loop $O(N_fα_s^2)$ correction to the decay width of the Higgs boson to two massive fermions

Details Two-loop $O(N_fα_s^2)$ correction to the decay width of the Higgs boson to two massive fermions Two-loop $O(N_fα_s^2)$ correction to the decay width of the Higgs boson to two massive fermions

1995-11-13

arxiv.org/abs/hep-ph/9511310v2

Phys.Rev. D53 (1996) 5020-5027

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1103/PhysRevD.53.5020

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.

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