# Wilson coefficients for Higgs boson production and decoupling relations to O(α$^{4}$$_{S}$)

Gerlach, Marvin; Herren, Florian; Steinhauser, Matthias

Abstract:
An important ingredient for the calculation of Higgs boson properties in the infinite top quark mass limit is the knowledge of the effective coupling between the Higgs bosons and gluons, i.e. the Wilson coefficients CH and CHH for one and two Higgs bosons, respectively. In this work we calculate for the first time CHH to four loops in a direct, diagrammatic way, discussing in detail all issues arising due to the renormalization of operator products. Furthermore, we also calculate the Wilson coefficient CH for the coupling of a single Higgs boson to gluons as well as all four loop decoupling relations in QCD with general SU(Nc) colour factors. The latter are related to CH and CHH via low-energy theorems, which are used to obtain five-loop results for the Wilson coefficients.

 Zugehörige Institution(en) am KIT Institut für Theoretische Teilchenphysik (TTP) Publikationstyp Zeitschriftenaufsatz Jahr 2018 Sprache Englisch Identifikator ISSN: 1029-8479, 1126-6708, 1127-2236 urn:nbn:de:swb:90-884315 KITopen-ID: 1000088431 Erschienen in Journal of high energy physics Band 2018 Heft 11 Seiten Article: 141 Bemerkung zur Veröffentlichung Gefördert durch SCOAP3 Schlagworte NLO Computations; QCD Phenomenology Nachgewiesen in Web of ScienceScopusarXiv
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