MT: a Mathematica package to compute convolutions

Abstract

We introduce the \prog{Mathematica} package \prog{MT} which can be used to compute, both analytically and numerically, convolutions involving harmonic polylogarithms, polynomials or generalized functions. As applications contributions to next-to-next-to-next-to leading order Higgs boson production and the Drell-Yan process are discussed.

18 pages

References in corpus (3)

• Quark and gluon form factors to three loops
• NNLO phase space master integrals for two-to-one inclusive cross sections in dimensional regularization
• Higgs boson production at the LHC: NNLO partonic cross sections through order $\epsilon$ and convolutions with splitting functions to N${}^3$LO

Cited by in corpus (23)

• SusHi Bento: Beyond NNLO and the heavy-top limit
• The Drell-Yan cross section to third order in the strong coupling constant
• Higgs boson production at the LHC using the $q_T$ subtraction formalism at N${}^3$LO QCD
• Rapidity renormalized TMD soft and beam functions at two loops
• Charged Current Drell-Yan Production at N3LO
• Fragmentation in Jets at NNLO
• Higgs production in bottom-quark fusion to third order in the strong coupling
• Fiducial Drell-Yan production at the LHC improved by transverse-momentum resummation at N${}^4$LL+N${}^3$LO
• Fragmentation Functions at Next-to-Next-to-Leading Order Accuracy
• Higgs production in bottom quark fusion: Matching the 4- and 5-flavour schemes to third order in the strong coupling
• A Toolbox for $q_T$ and $0$-Jettiness Subtractions at N${}^3$LO
• Semi-inclusive deep-inelastic scattering at NNLO in QCD
• Adequate bases of phase space master integrals for $gg\to h$ at NNLO and beyond
• Quark beam function at next-to-next-to-next-to-leading order in perturbative QCD in the generalized large-$N_c$ approximation
• Real corrections to Higgs boson pair production at NNLO in the large top quark mass limit
• The spin-dependent quark beam function at NNLO
• Polarized semi-inclusive deep-inelastic scattering at NNLO in QCD
• Antenna subtraction at NNLO with identified hadrons
• High-precision muon decay predictions for ALP searches
• Exact N${}^3$LO results for $q{q}^{\prime }\to H+X$
• Unitarity methods for Mellin moments of Drell-Yan cross sections
• Next-to-leading power two-loop soft functions for the Drell-Yan process at threshold
• Selected topics on multi-loop calculations to Higgs boson properties and renormalization group functions