NNLO zero-jettiness beam and soft functions to higher orders in the dimensional-regularization parameter $\epsilon$

Abstract

We present the calculation of the next-to-next-to-leading order (NNLO) zero-jettiness beam and soft functions, up to the second order in the expansion in the dimensional regularization parameter $\epsilon$. These higher order terms are needed for the computation of the next-to-next-to-next-to-leading order (N${}^3$LO) zero-jettiness soft and beam functions. As a byproduct, we confirm the $O({\epsilon }^0)$ results for NNLO beam and soft functions available in the literature.

arXiv comment26 pages, 1 figure

References in corpus (37)

• Harmonic Polylogarithms
• Higgs boson production at hadron colliders in NNLO QCD
• An NNLO subtraction formalism in hadron collisions and its application to Higgs boson production at the LHC
• Vector boson production at hadron colliders: a fully exclusive QCD calculation at NNLO
• N-Jettiness: An Inclusive Event Shape to Veto Jets
• ZZ production at hadron colliders in NNLO QCD
• Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals
• FIRE6: Feynman Integral REduction with Modular Arithmetic
• Z-boson production in association with a jet at next-to-next-to-leading order in perturbative QCD
• Infrared factorization of tree-level QCD amplitudes at the next-to-next-to-leading order and beyond
• Fully differential NNLO computations with MATRIX
• Calculation of the quark and gluon form factors to three loops in QCD
• HypExp, a Mathematica package for expanding hypergeometric functions around integer-valued parameters
• $W$-boson production in association with a jet at next-to-next-to-leading order in perturbative QCD
• Quark and gluon form factors to three loops
• HypExp 2, Expanding Hypergeometric Functions about Half-Integer Parameters
• Factorization at the LHC: From PDFs to Initial State Jets
• The soft-gluon current at one-loop order
• Color singlet production at NNLO in MCFM
• $W^{\pm }Z$ production at the LHC: fiducial cross sections and distributions in NNLO QCD
• Two-Loop Soft Corrections and Resummation of the Thrust Distribution in the Dijet Region
• $W^{\pm }Z$ production at hadron colliders in NNLO QCD
• The two-loop hemisphere soft function
• Top-quark pair production at the LHC: Fully differential QCD predictions at NNLO
• Quark Transverse Parton Distribution at the Next-to-Next-to-Next-to-Leading Order
• $W^{+}{W}^{-}$ production at the LHC: fiducial cross sections and distributions in NNLO QCD
• The Quark Beam Function at Two Loops
• The $q_T$ subtraction method for top quark production at hadron colliders
• W-boson plus jet differential distributions at NNLO in QCD
• Fragmentation in Jets at NNLO
• The Gluon Beam Function at Two Loops
• Higgs boson production in association with a jet at NNLO using jettiness subtraction
• Angular integrals in d dimensions
• Diphoton production at the LHC: a QCD study up to NNLO
• Next-to-leading power corrections to $V+1$ jet production in $N$-jettiness subtraction
• Quark beam function at next-to-next-to-next-to-leading order in perturbative QCD in the generalized large-$N_c$ approximation
• The spin-dependent quark beam function at NNLO

Cited by in corpus (18)

• Collider Physics at the Precision Frontier
• Les Houches 2021: Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
• New ideas for handling of loop and angular integrals in D-dimensions in QCD
• Collinear expansion for color singlet cross sections
• Same-hemisphere three-gluon-emission contribution to the zero-jettiness soft function at N3LO QCD
• On phase-space integrals with Heaviside functions
• Beam functions for $N$-jettiness at N${}^3$LO in perturbative QCD
• Collinear functions for QCD resummations
• Reduction of Feynman Integrals in the Parametric Representation III: Integrals with Cuts
• Zero-jettiness soft function to third order in perturbative QCD
• The NNLO quark beam function for jet-veto resummation
• Expansion by regions meets angular integrals
• Double-Real-Virtual and Double-Virtual-Real Corrections to the Three-Loop Thrust Soft Function
• One-loop corrections to the double-real emission contribution to the zero-jettiness soft function at N3LO in QCD
• Les Houches 2023 -- Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
• Asymptotic behavior of angular integrals in the massless limit
• Angular integrals with three denominators via IBP, mass reduction, dimensional shift, and differential equations
• QCD Beyond Leading Power