One-loop QCD contributions to differential cross-sections for Higgs production at N$^3$LO
We present one-loop contributions to the fully differential Higgs boson gluon-fusion cross-section for Higgs production via gluon fusion. Our results constitute a necessary ingredient of a complete N$^3$LO determination of the cross-section. We perform our computation using a subtraction method for...
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Main Authors | , |
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Format | Journal Article |
Language | English |
Published |
14.12.2018
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Subjects | |
Online Access | Get full text |
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Summary: | We present one-loop contributions to the fully differential Higgs boson
gluon-fusion cross-section for Higgs production via gluon fusion. Our results
constitute a necessary ingredient of a complete N$^3$LO determination of the
cross-section. We perform our computation using a subtraction method for the
treatment of soft and collinear singularities. We identify the infrared
divergent parts in terms of universal splitting and eikonal functions, and
demonstrate how phase-space integrations yield poles (up to $1/\epsilon^6$ ) in
the dimensional regulator $\epsilon=(4-d)/2$. We compute the coefficients of
the $\epsilon$ expansion, including the finite part numerically. As a
demonstration of our numerical implementation, we present the corrections at
N$^3$LO due to one-loop amplitudes in the rapidity and transverse momentum of
the Higgs boson. |
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DOI: | 10.48550/arxiv.1812.05857 |