Sudakov evolution without unitarity

Fuente: arXiv
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Hauptverfasser: Altmann, Javira, Li, Hai Tao, Scyboz, Ludovic, Skands, Peter
Format: Preprint
Veröffentlicht: 2025
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author Altmann, Javira
Li, Hai Tao
Scyboz, Ludovic
Skands, Peter
author_facet Altmann, Javira
Li, Hai Tao
Scyboz, Ludovic
Skands, Peter
contents We present a method for sampling singular functions defined on (nested) multi-particle phase spaces, based on a generalisation of parton-shower phase-space generation techniques. At the heart of the method are three key ingredients: 1) the Sudakov sampling by which shower-style calculations sweep across phase space in an ordered manner, from hard to soft; 2) the sequential nesting of multiparticle phase spaces; and 3) the factorisations obeyed by singular multiparton amplitudes on the edges of these phase spaces. We demonstrate a C++ implementation of the proposed algorithm, dubbed Sunshine, for hadronic Z decays, and use it to test the tree-level accuracy of the Vincia sector shower through $\mathcal{O}(α_s^2)$.
format Preprint
id arxiv_https___arxiv_org_abs_2507_00111
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Sudakov evolution without unitarity
Altmann, Javira
Li, Hai Tao
Scyboz, Ludovic
Skands, Peter
High Energy Physics - Phenomenology
We present a method for sampling singular functions defined on (nested) multi-particle phase spaces, based on a generalisation of parton-shower phase-space generation techniques. At the heart of the method are three key ingredients: 1) the Sudakov sampling by which shower-style calculations sweep across phase space in an ordered manner, from hard to soft; 2) the sequential nesting of multiparticle phase spaces; and 3) the factorisations obeyed by singular multiparton amplitudes on the edges of these phase spaces. We demonstrate a C++ implementation of the proposed algorithm, dubbed Sunshine, for hadronic Z decays, and use it to test the tree-level accuracy of the Vincia sector shower through $\mathcal{O}(α_s^2)$.
title Sudakov evolution without unitarity
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2507.00111