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O(G_F^2 m_t^4) two-loop electroweak correction to Higgs-boson decay to bottom quarks

Mathias Butenschoen·Frank Fugel·Bernd A. Kniehl
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Abstract

We analytically calculate the dominant two-loop electroweak correction, of O(G_F^2 m_t^4), to the partial width of the decay of a Higgs boson, with mass M_H << m_t, into a bottom-quark pair, and describe the most important conceptual and technical details of our calculation. As a by-product of our analysis, we also recover the O(alpha_s G_F m_t^2) correction. Relative to the Born result, the O(G_F^2 m_t^4) correction turns out to be approximately +0.047% and, thus, more than compensates the O(alpha_s G_F m_t^2) one, which amounts to approximately -0.022%.

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Mathias Butenschoen, Frank Fugel, Bernd A. Kniehl. 2007-02-21. O(G_F^2 m_t^4) two-loop electroweak correction to Higgs-boson decay to bottom quarks. https://doi.org/10.1016/j.nuclphysb.2007.02.027

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