https://doi.org/10.1140/epjc/s10052-023-11173-y
Regular Article - Theoretical Physics
Higgs boson decay into gluons in a 4D regularization: IR cancellation without evanescent fields to NLO
1
CFisUC, Department of Physics, University of Coimbra, 3004-516, Coimbra, Portugal
2
Instituto de Física Gleb Wataghin, Universidade Estadual de Campinas, Campinas, SP, Brazil
3
Universidade Federal do ABC, 09210-580, Santo André, Brazil
Received:
23
July
2022
Accepted:
27
December
2022
Published online:
25
January
2023
Higgs decay using an effective Higgs–Yang-Mills interaction in terms of a dimension five operator as well as usual QCD interactions is revisited in the context of Implicit Regularization (IReg) and compared with conventional dimensional regularization (CDR), four dimensional helicity (FDH) and dimensional reduction (DRED) schemes. The decay rate for 
is calculated in this strictly four-dimensional set-up to 
order in the strong coupling. Moreover we include joint processes that contribute at the same perturbative order in the real emission channels consisting of 3 gluons as well as gluon quark–antiquark final states with light (zero mass) quarks. Unambiguous identification and separation of UV from IR divergences is achieved putting at work the renormalization group scale relation inherent to the method. UV singularities are removed as usual by renormalization, the IR divergences are cancelled due to the method’s compliance with the Kinoshita–Lee–Nauenberg (KLN) theorem. Most importantly, we verify that no evanescent fields such as 
-scalars need be introduced as required by some mixed regularizations that operate partially in the physical dimension.
© The Author(s) 2023
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3. SCOAP3 supports the goals of the International Year of Basic Sciences for Sustainable Development.
