The analytic two-loop soft function for leading-jet $p_T$

Abstract

We present the calculation of the two-loop soft function for the transverse momentum distribution of the leading jet produced in association with any colour-singlet system (e.g.~a Higgs or a $Z$ boson). This constitutes a central ingredient for the resummation of the above distribution as well as the jet-vetoed cross section at the next-to-next-to-next-to-leading logarithmic order, both of which play an important role in the precision physics programme at the Large Hadron Collider. The calculation is performed in soft-collinear effective theory with an appropriate regularisation of the rapidity divergences that occur in the phase-space integrals. We obtain analytic results by employing an exponential regulator and by taking a Laurent expansion in the jet radius $R$. All expressions are presented as ancillary files with this article.

arXiv comment17 pages, 4 figures, and ancillary files with results

References in corpus (41)

• The anti-k_t jet clustering algorithm
• An effective field theory for collinear and soft gluons: heavy to light decays
• Soft-Collinear Factorization in Effective Field Theory
• Better Jet Clustering Algorithms
• Asymptotic expansion of Feynman integrals near threshold
• Hard Scattering Factorization from Effective Field Theory
• Soft-collinear effective theory and heavy-to-light currents beyond leading power
• A Formalism for the Systematic Treatment of Rapidity Logarithms in Quantum Field Theory
• On the Structure of Infrared Singularities of Gauge-Theory Amplitudes
• Drell-Yan production at small q_T, transverse parton distributions and the collinear anomaly
• Factorization constraints for soft anomalous dimensions in QCD scattering amplitudes
• Infrared factorization of tree-level QCD amplitudes at the next-to-next-to-leading order and beyond
• HypExp, a Mathematica package for expanding hypergeometric functions around integer-valued parameters
• The Rapidity Renormalization Group
• Multipole-expanded soft-collinear effective theory with non-abelian gauge symmetry
• PolyLogTools - Polylogs for the masses
• Double Unresolved Approximations to Multiparton Scattering Amplitudes
• Bootstrapping rapidity anomalous dimension for transverse-momentum resummation
• Jet p_T Resummation in Higgs Production at NNLL'+NNLO
• Two-Loop Soft Corrections and Resummation of the Thrust Distribution in the Dijet Region
• Small-radius jets to all orders in QCD
• NLL+NNLO predictions for jet-veto efficiencies in Higgs-boson and Drell-Yan production
• The two-loop hemisphere soft function
• Factorization and NNLL Resummation for Higgs Production with a Jet Veto
• Factorization and N^3LL_p+NNLO Predictions for the Higgs Cross Section with a Jet Veto
• Universality of 1/Q corrections to jet-shape observables rescued
• Resummation Properties of Jet Vetoes at the LHC
• An Explanation of the WW Excess at the LHC by Jet-Veto Resummation
• Resummation of jet-veto logarithms in hadronic processes containing jets
• Combining Resummed Higgs Predictions Across Jet Bins
• Quark masses in Higgs production with a jet veto
• Higgs transverse momentum with a jet veto: a double-differential resummation
• Two-loop anomalous dimensions of generic dijet soft functions
• Automated NNLL+NLO Resummation for Jet-Veto Cross Sections
• Rapidity-Dependent Jet Vetoes
• Jet Vetoes Interfering with H->WW
• Resummation of Jet Veto Logarithms at partial N${}^3$LL + NNLO for $W^{+}{W}^{-}$ Production at the LHC
• Jet Veto Resummation with Jet Rapidity Cuts
• Two-Loop Beam and Soft Functions for Rapidity-Dependent Jet Vetoes
• Higgs Production at NNLL${}^{\prime }$+NNLO using Rapidity Dependent Jet Vetoes
• Disentangling observable dependence in SCETI and SCETII anomalous dimensions: angularities at two loops