Third-order correction to top-quark pair production near threshold I. Effective theory set-up and matching coefficients

Abstract

This is the first in a series of papers, in which we compute the third-order QCD corrections to top-antitop production near threshold in e+ e- collisions. The present paper provides a detailed outline of the strategy of computation in the framework of non-relativistic effective theory and the threshold expansion, applicable more generally to heavy-quark pair production near threshold. It summarizes matching coefficients and potentials relevant to the next-to-next-to-next-to-leading order and ends with the master formula for the computation of the third-order Green function. The master formula is evaluated in part II of the series.

71 pages, 13 figures, v2: substantial update of 2013 version to match to part II

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• Reconstruction of top-quark mass effects in Higgs pair production and other gluon-fusion processes
• Probing top-Z dipole moments at the LHC and ILC
• The Complex-Mass Scheme and Unitarity in perturbative Quantum Field Theory
• Near-threshold production of heavy quarks with QQbar_threshold
• Non-resonant and electroweak NNLO correction to the $e^{+}{e}^{-}$ top anti-top threshold
• Full Formula for Heavy Quarkonium Energy Levels at Next-to-next-to-next-to-leading Order
• Higgs effects in top anti-top production near threshold in e+ e- annihilation
• P-wave contribution to third-order top-quark pair production near threshold
• Analytic results for planar three-loop integrals for massive form factors
• Muonic vs electronic dark forces: a complete EFT treatment for atomic spectroscopy
• Matching coefficients in NRQCD to two-loop accuracy
• Toward NNLL Threshold Resummation for Hadron Pair Production in Hadronic Collisions
• $P$-wave quarkonium wavefunctions at the origin in the $\overline{\mathrm{MS}}$ scheme
• Higgs measurement at e+e- circular colliders
• NNNLO determination of the bottom-quark mass from non-relativistic sum rules
• Charm-quark mass effects in NRQCD matching coefficients and the leptonic decay of the ${\rm Y}(1S)$ meson
• Non-relativistic pair annihilation of nearly mass degenerate neutralinos and charginos III. Computation of the Sommerfeld enhancements
• Unstable-particle effective field theory
• Electroweak and non-resonant corrections to top-pair production near threshold at NNLO
• Non-QCD contributions to top-pair production near threshold