Soft integrals and soft anomalous dimensions at N3LO and beyond

Journal of High Energy Physics

Regular Article - Theoretical Physics

Claude Duhr¹  Gherardo Vita²  Bernhard Mistlberger² 

[1] Bethe Center for Theoretical Physics, Universität Bonn, Am Hof 1, D-53115, Bonn, Germany;SLAC National Accelerator Laboratory, Stanford University, 2575 Sand Hill Road, 94025, Menlo Park, USA;

关键词: Effective Field Theories of QCD;    Factorization;    Renormalization Group;    Higher-Order Perturbative Calculations;    Resummation;   

DOI  :  10.1007/JHEP09(2022)155

 received in 2022-05-24, accepted in 2022-08-21,  发布年份 2022

来源: Springer

【 摘 要 】

We calculate soft phase-space and loop master integrals for the computation of color-singlet cross sections through N3LO in perturbative QCD. Our results are functions of homogeneous transcendental weight and include the first nine terms in the expansion in the dimensional regulator ϵ. We discuss the application of our results to the computation of deeply-inelastic scattering and e+e− annihilation processes. We use these results to compute the perturbative coefficient functions for the Drell-Yan and gluon-fusion Higgs boson production cross sections to higher orders in ϵ through N3LO in QCD in the limit where only soft partons are produced on top of the colorless final state. Furthermore, we extract the anomalous dimension of the inclusive threshold soft function and of the N-Jettiness beam and jet functions to N4LO in perturbative QCD.

【 授权许可】

Unknown   
© The Author(s) 2022

【 图 表 】

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