Double-real corrections to $e^{+}{e}^{-}\to q\bar{q}$ with partial fractioned scalar radiators and identified particle kinematics mappings

Abstract

We present a new approach to local infrared subtraction for next-to-next-to-leading order QCD calculations in $e^{+}{e}^{-}\to q\bar{q}$. Overlapping singularities in the multipole radiation pattern are disentangled by partial fractioning, and the kinematics mapping corresponds to iterated next-to-leading order identified particle kinematics. We verify that the double-real remainder is rendered finite in the single and double unresolved limits and investigate the numerical convergence of the Monte-Carlo integral. We compute the phase-space integrals of the scalar counterterms in the back-to-back configuration, both analytically and with the help of numerical techniques based on sector decomposition.

17 pages, 4 figures