Two-loop electroweak fermionic corrections to sin^2 theta_{eff}^{b anti-b}

Details Two-loop electroweak fermionic corrections to sin^2 theta_{eff}^{b anti-b} Two-loop electroweak fermionic corrections to sin^2 theta_{eff}^{b anti-b}

2008-11-09

arxiv.org/abs/0811.1364v2

Nucl.Phys.B813:174-187,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

17 pages, 2 figures, references added, accepted for publication in Nucl. Phys. B

Scientific paper

10.1016/j.nuclphysb.2008.12.031

We present the first calculation of the two-loop electroweak fermionic correction to the flavour-dependent effective weak-mixing angle for bottom quarks, sin^2 theta_{eff}^{b anti-b}. For the evaluation of the missing two-loop vertex diagrams, two methods are employed, one based on a semi-numerical Bernstein-Tkachov algorithm and the second on asymptotic expansions in the large top-quark mass. A third method based on dispersion relations is used for checking the basic loop integrals. We find that for small Higgs-boson mass values, M_H ~ 100 GeV, the correction is sizable, of order O(10^{-4}).

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