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  • Letter
  • Open Access

Going beyond soft plus virtual

A. H. Ajjath1,3,*, Pooja Mukherjee2,3,†, and V. Ravindran3,‡

  • 1Laboratoire de Physique Théorique et Hautes Energies (LPTHE), UMR 7589, Sorbonne Université et CNRS, 4 place Jussieu, 75252 Paris Cedex 05, France
  • 2Bethe Center for Theoretical Physics, Universität Bonn, 53115 Bonn, Germany
  • 3The Institute of Mathematical Sciences, HBNI, Taramani, Chennai 600113, India

  • *aabdulhameed@lpthe.jussieu.fr
  • †pmukherj@uni-bonn.de
  • ‡ravindra@imsc.res.in

Phys. Rev. D 105, L091503 – Published 27 May, 2022

DOI: https://doi.org/10.1103/PhysRevD.105.L091503

Abstract

We present a formalism that sums up the soft-virtual (SV) and next-to-SV (NSV) diagonal contributions to inclusive colorless productions in hadron colliders to all orders in perturbative QCD. Using the factorization theorem and renormalization group invariance as well as employing the transcendental structure of perturbative results, we show the exponential behavior of soft-collinear function. This allows us to predict certain SV and NSV terms to all orders from lower order information. We also present an integral representation for the coefficient functions that is suitable for Mellin N-space resummation.

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Physics Subject Headings (PhySH)

See Also

Next to soft corrections to Drell-Yan and Higgs boson productions

A. H. Ajjath, Pooja Mukherjee, and V. Ravindran
Phys. Rev. D 105, 094035 (2022)

Article Text

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