# Two-loop $O(N\_f\\alpha \_s^2)$ correction to the decay width of the Higgs boson to two massive fermions

Source: [Two-loop $O(N\_f\\alpha \_s^2)$ correction to the decay width of the Higgs boson to two massive fermions](<https://www.sota2.com/research/paper/68fa243c2c2a3760193a1300>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T08:58:12.688Z

Authors: K.Melnikov

Published: 1995-11-13T16:44:11.000Z

## 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.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/hep-ph/9511310>)

[PDF](<https://arxiv.org/pdf/hep-ph/9511310.pdf>)