Two-loop electroweak fermionic corrections to \(\sin^2\Theta_{eff}^{b\bar{b}}\)
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Publication:993160
DOI10.1016/J.NUCLPHYSB.2008.12.031zbMATH Open1194.81287arXiv0811.1364OpenAlexW2579207650WikidataQ59869359 ScholiaQ59869359MaRDI QIDQ993160
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Publication date: 10 September 2010
Published in: (Search for Journal in Brave)
Abstract: 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}).
Full work available at URL: https://arxiv.org/abs/0811.1364
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