The soft function for color octet production at threshold

Abstract

We evaluate the next-to-next-to-leading order soft function for the production of a massive color octet state at rest in the collision of two massless colored partons in either the fundamental or the adjoint representation. The main application of our result is the determination of the threshold expansion of the heavy-quark pair-production cross sections in the quark annihilation and gluon fusion channels. We discuss the factorization necessary for this purpose and explain the relationship between hard functions and virtual amplitudes.

18 pages, 5 figures, references added, matches published version

References in corpus (12)

• Next-to-next-to-leading soft-gluon corrections for the top quark cross section and transverse momentum distribution
• The Two-loop Soft Anomalous Dimension Matrix and Resummation at Next-to-next-to Leading Pole
• Threshold Resummation for Top-Pair Hadroproduction to Next-to-Next-to-Leading Log
• Threshold resummation for pair production of coloured heavy (s)particles at hadron colliders
• Inclusive Heavy Flavor Hadroproduction in NLO QCD: the Exact Analytic Result
• Transverse-momentum resummation for top-quark pairs at hadron colliders
• The Massive Soft Anomalous Dimension Matrix at Two Loops
• Diagrammatic Exponentiation for Products of Wilson Lines
• Inclusive top-pair production phenomenology with TOPIXS
• Computation of the Soft Anomalous Dimension Matrix in Coordinate Space
• On the Soft-Gluon Resummation in Top Quark Pair Production at Hadron Colliders
• Factorization and resummation for single color-octet scalar production at the LHC

Cited by in corpus (16)

• Four-dimensional formulation of the sector-improved residue subtraction scheme
• Nested soft-collinear subtractions in NNLO QCD computations
• Virtual amplitudes and threshold behaviour of hadronic top-quark pair-production cross sections
• Transverse-momentum resummation for heavy-quark hadroproduction
• Non-abelian factorisation for next-to-leading-power threshold logarithms
• Top-quark pair production at hadron colliders: differential cross section and phenomenological applications with DiffTop
• Generic dijet soft functions at two-loop order: correlated emissions
• The two-loop soft function for heavy quark pair production at future linear colliders
• Soft-parton contributions to heavy-quark production at low transverse momentum
• Next-to-Next-to-Leading Order $N$-Jettiness Soft Function for One Massive Colored Particle Production at Hadron Colliders
• Polarized double-virtual amplitudes for heavy-quark pair production
• The colourful antenna subtraction method
• Soft-gluon and Coulomb corrections to hadronic top-quark pair production beyond NNLO
• The next-to-next-to-leading order soft function for top quark pair production
• Automated Calculation of Dijet Soft Functions in Soft-Collinear Effective Theory
• The $q_{\mathrm{T}}$ and $\Delta {\varphi }_{t\bar{t}}$ spectra in top-antitop hadroproduction at NNLL+NNLO: the interplay of soft-collinear resummation and Coulomb singularities