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 — preprints:2004:ttp04-01 [2016/03/17 11:03] (current) Line 1: Line 1: + ====== TTP04-01 Next-to-leading mass singularities in two-loop electroweak singlet form factors ====== + + + <​hidden TTP04-01 ​ Next-to-leading mass singularities in two-loop electroweak singlet form factors > 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 $s\gg M_W^2\sim M_Z^2$, 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  $1/​\epsilon$ poles in $D=4-2\epsilon$ dimensions, to one- and two-loop next-to-leading logarithmic accuracy. In this approximation we include all contributions of order $\alpha^l\epsilon^{k}\log^{j+k}(s/​M_W^2)$,​ with $l=1,2$ and $j=2l,​2l-1$. 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. + ​ + |**S. Pozzorini** ​ | + |**  Nucl.Phys. ​ B692 135-174 2004  **  | + | {{preprints:​2004:​ttp04-01.pdf|PDF}} {{preprints:​2004:​ttp04-01.ps|PostScript}} [[http://​arxiv.org/​abs/​hep-ph/​0401087|arXiv]] ​  | + | |