Scale dependence and collinear subtraction terms for Higgs production in gluon fusion at N3LO

Abstract

The full, explicit, scale dependence of the inclusive N3LO cross section for single Higgs hadroproduction is obtained by calculating the convolutions of collinear splitting kernels with lower-order partonic cross sections. We provide results for all convolutions of splitting kernels and lower-order partonic cross sections to the order in epsilon needed for the full N3LO computation, as well as their expansions around the soft limit. We also discuss the size of the total scale uncertainty at N3LO that can be anticipated with existing information.

27 pages, 8 figure, 1 table, 8 ancillary files. v2: added 4 references, changed labelling of contour plots

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• Higgs Boson Production at Hadron Colliders at N3LO in QCD
• Les Houches 2015: Physics at TeV Colliders Standard Model Working Group Report
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• The Drell-Yan cross section to third order in the strong coupling constant
• Threshold resummation at N${}^3$LL accuracy and soft-virtual cross sections at N${}^3$LO
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• Single soft gluon emission at two loops
• Resummed Higgs cross section at N${}^3$LL
• Soft Expansion of Double-Real-Virtual Corrections to Higgs Production at N${}^3$LO
• N${}^3$LO Higgs and Drell-Yan production at threshold: the one-loop two-emission contribution
• Charged Current Drell-Yan Production at N3LO
• Higgs production in bottom-quark fusion to third order in the strong coupling
• Real-Virtual contributions to the inclusive Higgs cross-section at N3LO
• Two-loop splitting amplitudes and the single-real contribution to inclusive Higgs production at N3LO
• Higgs production in bottom quark fusion: Matching the 4- and 5-flavour schemes to third order in the strong coupling
• Updated Higgs cross section at approximate N${}^3$LO
• Prospects for Higgs physics at energies up to 100 TeV
• Vector-like Bottom Quarks in Composite Higgs Models
• How well can we guess theoretical uncertainties?
• Towards precise predictions for Higgs-boson production in the MSSM
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• The Higgs transverse momentum distribution in gluon fusion as a multiscale problem
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• Mixed QCD-electroweak corrections to Higgs production via gluon fusion in the small mass approximation
• Exact N${}^3$LO results for $q{q}^{\prime }\to H+X$
• An approximate NNNLO cross section for Higgs production in gluon fusion
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• One-loop triple collinear splitting amplitudes in QCD
• The HiggsTools Handbook: Concepts and observables for deciphering the Nature of the Higgs Sector
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• Higgs boson production in the SM and MSSM to NNLO and beyond