https://doi.org/10.1140/epjc/s10052-024-12909-0
Regular Article - Theoretical Physics
A subtraction scheme for processes involving fragmentation functions at NLO
1
LPTh, Department of Physics, University of Jijel, B.P. 98 Ouled Aissa, 18000, Jijel, Algeria
2
LAPTH, Univ. Savoie Mont Blanc, CNRS, 74000, Annecy, France
3
Laboratoire de Physique Subatomique et de Cosmologie, Université Grenoble-Alpes, CNRS/IN2P3, 53 Avenue des Martyrs, 38026, Grenoble, France
4
Multi-Disciplinary Physics Laboratory, Optics and Fiber Optics Group, Faculty of Sciences, Lebanese University, Beirut, Lebanon
a
mohamed.sadek.zidi@univ-jijel.dz
Received:
2
April
2024
Accepted:
10
May
2024
Published online:
17
June
2024
We present a novel subtraction method to remove the soft and collinear divergences at next-to-leading order for processes involving an arbitrary number of fragmentation functions, where this method acts directly in the hadronic centre-of-mass frame. We provide the analytical formulae of the subtraction terms in the general case where all the final state partons fragment to hadrons and for the two special cases when one of the partons of the final state does not fragment, i.e. it is a photon or involved in a jet.
This article is dedicated to E. Pilon who passed away in February 2022, his brightness and humanity left a lasting impression on us.
© The Author(s) 2024
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