Next-to-leading mass singularities in two-loop electroweak singlet form factors

DOI10.1016/J.NUCLPHYSB.2004.05.025zbMATH Open1151.81412arXivhep-ph/0401087OpenAlexW2013522575WikidataQ120435058 ScholiaQ120435058MaRDI QIDQ874134

Author name not available (Why is that?)

Publication date: 5 April 2007

Published in: (Search for Journal in Brave)

Abstract: We consider virtual electroweak corrections to the form factors for massless chiral fermions coupling to an SU(2)xU(1) singlet gauge boson in the asymptotic region

s g g M_{W}^{2}

, where the invariant mass

s

of the external gauge boson is much higher than the weak-boson mass scale. Using the sector-decomposition method we compute mass singularities, which arise as logarithms of

s / M_{W}^{2}

and

1 / e p s i l o n

poles in

D = 4 - 2 e p s i l o n

dimensions, to one- and two-loop next-to-leading logarithmic accuracy. In this approximation we include all contributions of order

a l p h a^{l} e p s i l o n^{k} l o g^{j + k} (s / M_{W}^{2})

, with

l = 1, 2

and

j = 2 l, 2 l - 1

. We find that the electroweak two-loop leading- and next-to-leading-logarithmic mass singularities can be written in a form that corresponds to a generalization of Catani's formula for massless QCD.

Full work available at URL: https://arxiv.org/abs/hep-ph/0401087

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