Implementation of NNLO EW NLL corrections in OpenLoops for massless fermions and transversely polarized vector bosons, validated against analytic results and applied to representative LHC processes.
Pozzorini,Next to leading mass singularities in two loop electroweak singlet form-factors,Nucl
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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 $s\gg M_W^2$, 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 $1/\epsilon$ 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.
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Analytic two-loop electroweak corrections to four-point amplitudes are computed in the high-energy limit of the Standard Model, applied to Higgs pair production where logarithmic and power corrections yield sizeable effects.
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Logarithmic EW corrections at two-loop
Implementation of NNLO EW NLL corrections in OpenLoops for massless fermions and transversely polarized vector bosons, validated against analytic results and applied to representative LHC processes.
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Analytic two-loop electroweak corrections at high energies
Analytic two-loop electroweak corrections to four-point amplitudes are computed in the high-energy limit of the Standard Model, applied to Higgs pair production where logarithmic and power corrections yield sizeable effects.