https://doi.org/10.1140/epjc/s10052-025-13989-2
Regular Article - Theoretical Physics
Bridging massive and massless schemes for soft gluon resummation in heavy-flavour production in 
collisions
Dipartimento di Fisica, Università di Genova and INFN, Sezione di Genova, Via Dodecaneso 33, 16146, Genova, Italy
Received:
20
December
2024
Accepted:
24
February
2025
Published online:
13
March
2025
Perturbative calculations for processes involving heavy flavours can be carried out using two approaches: the massive and the massless schemes. These schemes can also be combined to leverage their respective strengths. Additionally, both massive and massless frameworks can be supplemented by soft-gluon resummation. However, matching resummed calculations across the two schemes presents significant challenges, primarily due to the non-commutativity of the soft and small mass limits. The consistent resummation of mass and soft logarithms has been recently achieved at next-to-leading logarithmic (NLL) accuracy. In this paper, we consider heavy-quark fragmentation functions in electron-positron collisions and we extend this framework to achieve the so-called NLL
accuracy, which accounts for finite terms in the soft limit.
© The Author(s) 2025
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