Beam functions for N-jettiness at N3LO in perturbative QCD

Journal of High Energy Physics

Regular Article - Theoretical Physics

Kirill Melnikov¹  Daniel Baranowski²  Arnd Behring³  Lorenzo Tancredi⁴  Christopher Wever⁵ 

[1] Institute for Theoretical Particle Physics, KIT, 76128, Karlsruhe, Germany;Institute for Theoretical Particle Physics, KIT, 76128, Karlsruhe, Germany;Physik Institut, Universität Zürich, Winterthurerstrasse 190, 8057, Zürich, Switzerland;Institute for Theoretical Particle Physics, KIT, 76128, Karlsruhe, Germany;Theoretical Physics Department, CERN, 1211, Geneva 23, Switzerland;Physics Department, Technical University of Munich, James-Franck-Straße 1, 85748, Garching, Germany;Physics Department, Technical University of Munich, James-Franck-Straße 1, 85748, Garching, Germany;Corporate Sector Research and Advanced Engineering, Robert Bosch GmbH, Robert-Bosch-Campus 1, 71272, Renningen, Germany;

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

DOI  :  10.1007/JHEP02(2023)073

 received in 2022-11-15, accepted in 2023-01-13,  发布年份 2023

来源: Springer

【 摘 要 】

We present a calculation of all matching coefficients for N-jettiness beam functions at next-to-next-to-next-to-leading order (N3LO) in perturbative quantum chromodynamics (QCD). Our computation is performed starting from the respective collinear splitting kernels, which we integrate using the axial gauge. We use reverse unitarity to map the relevant phase-space integrals to loop integrals, which allows us to employ multi-loop techniques including integration-by-parts identities and differential equations. We find a canonical basis and use an algorithm to establish non-trivial partial fraction relations among the resulting master integrals, which allows us to reduce their number substantially. By use of regularity conditions, we express all necessary boundary constants in terms of an independent set, which we compute by direct integration of the corresponding integrals in the soft limit. In this way, we provide an entirely independent calculation of the matching coefficients which were previously computed in ref. [1].

【 授权许可】

Unknown   
© The Author(s) 2023

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