Regular Article - Theoretical Physics
Rapidity distribution at soft-virtual and beyond for n-colorless particles to LO in QCD
Max-Planck-Institut für Physik, Werner-Heisenberg-Institut, 80805, Munich, Germany
2 Dipartimento di Fisica and Arnold-Regge Center, Università di Torino and INFN, Sezione di Torino, Via Pietro Giuria 1, 10125, Turin, Italy
3 The Institute of Mathematical Sciences, HBNI, IV Cross Road, Taramani, 600113, Chennai, India
Accepted: 16 September 2021
Published online: 25 October 2021
We present a systematic framework to study the threshold contributions of the differential rapidity distribution for the production of any number of colorless particles in the hadronic colliders. This has been achieved based on the universality structure of the soft enhancements associated with the real emissions, along with the factorization property of the differential cross section and the renormalization group invariance. In this formalism, we present a universal soft-collinear operator to compute the soft virtual differential cross section for a generic scattering process up to next-to-next-to-next-to-next-to-leading order (LO) in perturbative QCD. We also provide a universal operator to perform the threshold resummation to next-to-next-to-next-to-leading logarithmic (LL) accuracy. We explicitly present the approximate analytical results of the rapidity distributions at LO and LL for the Higgs boson production through gluon fusion and bottom quark annihilation, and also for the Drell-Yan production at the hadronic collider. We extend our framework to include the next to threshold contributions for the diagonal partonic channels.
© The Author(s) 2021. corrected publication 2021
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