Bridging massive and massless schemes for soft gluon resummation in heavy-flavour production in $e^+e^-$ collisions

Fuente: arXiv
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Autores principales: Ghira, Andrea, Mai, Lorenzo, Marzani, Simone
Formato: Preprint
Publicado: 2024
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author Ghira, Andrea
Mai, Lorenzo
Marzani, Simone
author_facet Ghira, Andrea
Mai, Lorenzo
Marzani, Simone
contents 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$^\prime$ accuracy, which accounts for finite terms in the soft limit.
format Preprint
id arxiv_https___arxiv_org_abs_2412_13261
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Bridging massive and massless schemes for soft gluon resummation in heavy-flavour production in $e^+e^-$ collisions
Ghira, Andrea
Mai, Lorenzo
Marzani, Simone
High Energy Physics - Phenomenology
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$^\prime$ accuracy, which accounts for finite terms in the soft limit.
title Bridging massive and massless schemes for soft gluon resummation in heavy-flavour production in $e^+e^-$ collisions
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2412.13261