On next to soft threshold corrections to DIS and SIA processes

Abstract

We study the perturbative structure of threshold enhanced logarithms in the coefficient functions of deep inelastic scattering (DIS) and semi-inclusive $e^{+}{e}^{-}$ annihilation (SIA) processes and setup a framework to sum them up to all orders in perturbation theory. Threshold logarithms show up as the distributions $((1-z{)}^{-1}{\log }^i(1-z){)}_{+}$ from the soft plus virtual (SV) and as logarithms ${\log }^i(1-z)$ from next to SV (NSV) contributions. We use the Sudakov differential and the renormalisation group equations along with the factorisation properties of parton level cross sections to obtain the resummed result which predicts SV as well as next to SV contributions to all orders in strong coupling constant. In Mellin $N$ space, we resum the large logarithms of the form ${\log }^i(N)$ keeping $1/N$ corrections. In particular, the towers of logarithms, each of the form $a_s^n/N^{\alpha }{\log }^{2n-\alpha }(N),a_s^n/N^{\alpha }{\log }^{2n-1-\alpha }(N)\cdots$ etc for $\alpha =0,1$, are summed to all orders in $a_s$.

arXiv comment42 pages, 2 tables

References in corpus (95)

• An effective field theory for collinear and soft gluons: heavy to light decays
• Soft-Collinear Factorization in Effective Field Theory
• The Three-Loop Splitting Functions in QCD: The Non-Singlet Case
• Next-to-Next-to-Leading Order Higgs Production at Hadron Colliders
• Higgs boson production at hadron colliders in NNLO QCD
• HIGGS BOSON PRODUCTION AT THE LHC
• Summing Sudakov logarithms in B -> X_s + gamma in effective field theory
• The Three-Loop Splitting Functions in QCD: The Singlet Case
• Invariant Operators in Collinear Effective Theory
• The Singular Behaviour of QCD Amplitudes at Two-loop Order
• Higgs boson gluon-fusion production in N3LO QCD
• Hard Scattering Factorization from Effective Field Theory
• Soft-collinear effective theory and heavy-to-light currents beyond leading power
• NNLO corrections to the total cross section for Higgs boson production in hadron-hadron collisions
• Five-Loop Running of the QCD coupling constant
• Soft-gluon resummation for Higgs boson production at hadron colliders
• On the Structure of Infrared Singularities of Gauge-Theory Amplitudes
• Infrared singularities of scattering amplitudes in perturbative QCD
• The Resummation of Soft Gluon in Hadronic Collisions
• The third-order QCD corrections to deep-inelastic scattering by photon exchange
• Multi-loop Amplitudes and Resummation
• Factorization constraints for soft anomalous dimensions in QCD scattering amplitudes
• The five-loop beta function of Yang-Mills theory with fermions
• 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
• Higgs production in hadron collisions: soft and virtual QCD corrections at NNLO
• Three-Loop Results for Quark and Gluon Form Factors
• Higgs boson gluon-fusion production at threshold in N3LO QCD
• Factorization and Shape-Function Effects in Inclusive B-Meson Decays
• 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
• Sudakov Form Factors
• Cusp and collinear anomalous dimensions in four-loop QCD from form factors
• Soft and virtual corrections to pp -> H + X at NNLO
• The Drell-Yan cross section to third order in the strong coupling constant
• Next-to-eikonal corrections to soft gluon radiation: a diagrammatic approach
• The five-loop Beta function for a general gauge group and anomalous dimensions beyond Feynman gauge
• Four-Loop Non-Singlet Splitting Functions in the Planar Limit and Beyond
• Higher-Order Corrections in Threshold Resummation
• Shape function effects in B -> X_s gamma and B -> X_u l nu decays
• Soft-Gluon Resummation for the Fragmentation of Light and Heavy Quarks at Large x
• Direct photon production with effective field theory
• 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
• The 3-Loop Non-Singlet Heavy Flavor Contributions and Anomalous Dimensions for the Structure Function $F_2(x,Q^2)$ and Transversity
• On next-to-eikonal corrections to threshold resummation for the Drell-Yan and DIS cross sections
• Five-loop renormalisation of QCD in covariant gauges
• The gluon jet function at two-loop order
• Two-loop corrections to Higgs boson production
• Non-abelian factorisation for next-to-leading-power threshold logarithms
• Soft-virtual corrections to Higgs production at N${}^3$LO
• Resummed Higgs cross section at N${}^3$LL
• Approximate N^3LO Higgs-boson production cross section using physical-kernel constraints
• Soft Expansion of Double-Real-Virtual Corrections to Higgs Production at N${}^3$LO
• On the Drell-Levy-Yan Relation to $O({\alpha }_s^2)$
• 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
• Leading-logarithmic threshold resummation of the Drell-Yan process at next-to-leading power
• Higgs production in bottom-quark fusion to third order in the strong coupling
• 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
• On the Higgs cross section at N${}^3$LO+N${}^3$LL and its uncertainty
• The Three-loop Quark Jet Function
• 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
• The Three-Loop Splitting Functions $P_{qg}^{(2)}$ and $P_{gg}^{(2,N_F)}$
• Leading-logarithmic threshold resummation of Higgs production in gluon fusion at next-to-leading power
• Analytic resummation for the quark form factor in QCD
• Soft corrections to inclusive deep-inelastic scattering at four loops and beyond
• A next-to-next-to-leading order calculation of soft-virtual cross sections
• The $Hb\bar{b}$ form factor to three loops in QCD
• Updated Higgs cross section at approximate N${}^3$LO
• 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
• On threshold resummation beyond leading 1-x order
• Resummed prediction for Higgs boson production through $b\bar{b}$ annihilation at N${}^3$LL
• Gluon jet function at three loops in QCD
• NNLO QCD$\oplus$QED corrections to Higgs production in bottom quark annihilation
• The three loop soft function for N${}^3$LL${}^{\prime }$ gluon fusion Higgs production in SCET
• The threshold region for Higgs production in gluon fusion
• Associated production of Higgs boson with vector boson at threshold N${}^3$LO in QCD
• Large-x structure of physical evolution kernels in Deep Inelastic Scattering
• QCD threshold corrections to Higgs decay and to hadroproduction in $l^{+}{l}^{-}$ annihilation
• On next-to-eikonal exponentiation

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