Going beyond Soft plus Virtual

Abstract

We present a formalism that sums up the soft-virtual (SV) and next-to-SV (NSV) diagonal contributions to inclusive colorless productions in hadron colliders to all orders in perturbative QCD. Using factorisation theorem, renormalisation group invariance and employing the transcendental structure of perturbative results, we show the exponential behavior of soft-collinear function. This allows us to predict certain SV and NSV terms to all orders from lower order information. We also present an integral representation for the coefficient functions which is suitable for Mellin $N$-space resummation.

arXiv comment7 pages. Shorter version of the paper with arxiv id 2006.06726. Accepted for publication as a Letter in Physical Review D

References in corpus (54)

• The Three-Loop Splitting Functions in QCD: The Non-Singlet Case
• The Three-Loop Splitting Functions in QCD: The Singlet Case
• The Singular Behaviour of QCD Amplitudes at Two-loop Order
• Higgs boson gluon-fusion production in N3LO QCD
• The 4-loop quark mass anomalous dimension and the invariant quark mass
• On the Structure of Infrared Singularities of Gauge-Theory Amplitudes
• Infrared singularities of scattering amplitudes in perturbative QCD
• Multi-loop Amplitudes and Resummation
• Factorization constraints for soft anomalous dimensions in QCD scattering amplitudes
• Calculation of the quark and gluon form factors to three loops in QCD
• QCD Decoupling at Four Loops
• Higher-Order Soft Corrections to Lepton Pair and Higgs Boson Production
• Quark and gluon form factors to three loops
• Three-Loop Results for Quark and Gluon Form Factors
• Higgs Boson Production at Hadron Colliders at N3LO in QCD
• Virtual corrections to gg -> H to two loops in the heavy top limit
• The Quark Form Factor at Higher Orders
• Two-Loop Quark and Gluon Form Factors in Dimensional Regularisation
• Higher-Order threshold effects to inclusive processes in QCD
• Revisiting parton evolution and the large-x limit
• Cusp and collinear anomalous dimensions in four-loop QCD from form factors
• The Drell-Yan cross section to third order in the strong coupling constant
• Next-to-eikonal corrections to soft gluon radiation: a diagrammatic approach
• Higher-Order Corrections in Threshold Resummation
• The method of regions and next-to-soft corrections in Drell-Yan production
• Threshold resummation at N${}^3$LL accuracy and soft-virtual cross sections at N${}^3$LO
• On Sudakov and Soft resummations in QCD
• Drell-Yan Production at Threshold to Third Order in QCD
• On next-to-eikonal corrections to threshold resummation for the Drell-Yan and DIS cross sections
• Two-loop corrections to Higgs boson production
• Non-abelian factorisation for next-to-leading-power threshold logarithms
• Approximate N^3LO Higgs-boson production cross section using physical-kernel constraints
• N${}^3$LO Higgs and Drell-Yan production at threshold: the one-loop two-emission contribution
• Matter dependence of the four-loop cusp anomalous dimension
• On Higgs-exchange DIS, physical evolution kernels and fourth-order splitting functions at large x
• Higgs production in bottom-quark fusion to third order in the strong coupling
• Leading-logarithmic threshold resummation of the Drell-Yan process at next-to-leading power
• The quark and gluon form factors to three loops in QCD through to O(eps^2)
• Universality of next-to-leading power threshold effects for colourless final states in hadronic collisions
• On non-singlet physical evolution kernels and large-x coefficient functions in perturbative QCD
• Threshold factorization of the Drell-Yan process at next-to-leading power
• Quark and gluon form factors to four loop order in QCD: the $N_f^3$ contributions
• Diagrammatic resummation of leading-logarithmic threshold effects at next-to-leading power
• Matched predictions for the $b\bar{b}H$ cross section at the 13 TeV LHC
• Leading-logarithmic threshold resummation of Higgs production in gluon fusion at next-to-leading power
• Analytic resummation for the quark form factor in QCD
• A next-to-next-to-leading order calculation of soft-virtual cross sections
• The $Hb\bar{b}$ form factor to three loops in QCD
• Approximate four-loop QCD corrections to the Higgs-boson production cross section
• Higgs boson production through $b\bar{b}$ annihilation at threshold in N${}^3$LO QCD
• Resummed prediction for Higgs boson production through $b\bar{b}$ annihilation at N${}^3$LL
• On next to soft corrections to Drell-Yan and Higgs Boson productions
• NNLO QCD$\oplus$QED corrections to Higgs production in bottom quark annihilation
• Associated production of Higgs boson with vector boson at threshold N${}^3$LO in QCD

Cited by in corpus (5)

• Next to SV resummed prediction for pseudoscalar Higgs boson production at NNLO$+\overline{\text{NNLL}}$
• On the approaches to threshold resummation of rapidity distributions for the Drell-Yan process
• Soft gluon resummation for gluon fusion $ZH$ production
• Next to Soft Threshold Resummation for $VH$ Production
• Threshold resummation for $Z$-boson pair production at NNLO+NNLL