A next-to-next-to-leading order calculation of soft-virtual cross sections

Abstract

We compute the next-to-next-to-leading order (NNLO) soft and virtual QCD corrections for the partonic cross section of colourless-final state processes in hadronic collisions. The results are valid to all orders in the dimensional regularization parameter $\ep$. The dependence of the results on a particular process is given through finite contributions to the one and two-loop amplitudes. To evaluate the accuracy of the soft-virtual approximation we compare it with the full NNLO result for Drell-Yan and Higgs boson production via gluon fusion. We also provide a universal expression for the hard coefficient needed to perform threshold resummation up to next-to-next-to-leading logarithmic (NNLL) accuracy.

25 pages, 4 figures

References in corpus (5)

• Parton distributions for the LHC
• Quark and gluon form factors to three loops
• Higher-Order threshold effects to inclusive processes in QCD
• The Two-loop Anomalous Dimension Matrix for Soft Gluon Exchange
• QCD threshold corrections to di-lepton and Higgs rapidity distributions beyond N${}^2$LO

Cited by in corpus (16)

• Virtual corrections to Higgs boson pair production in the large top quark mass limit
• Threshold resummation at N${}^3$LL accuracy and soft-virtual cross sections at N${}^3$LO
• Drell-Yan Production at Threshold to Third Order in QCD
• Approximate N^3LO Higgs-boson production cross section using physical-kernel constraints
• Higgs boson production through $b\bar{b}$ annihilation at threshold in N${}^3$LO QCD
• Associated production of Higgs boson with vector boson at threshold N${}^3$LO in QCD
• Higgs Rapidity Distribution in $b\bar{b}$ Annihilation at Threshold in N${}^3$LO QCD
• Two-loop corrections to the triple Higgs boson production cross section
• Resummed Higgs boson cross section at next-to SV to $\mathrm{NNLO}+\overline{\mathrm{NNLL}}$
• Going beyond Soft plus Virtual
• Double Higgs production at NNLO interfaced to parton showers in GENEVA
• Next to SV resummed prediction for pseudoscalar Higgs boson production at NNLO$+\overline{\text{NNLL}}$
• Threshold enhanced cross sections for colorless productions
• NNLO study of top-quark mass renormalization scheme uncertainties in Higgs boson production
• The Higgs-gluon form factor at three loops in QCD with three mass scales
• Two-loop mixed QCD-EW corrections to neutral current Drell-Yan