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Leading QCD-induced four-loop contributions to the β-function of the Higgs self-coupling in the SM and vacuum stability

Chetyrkin, K. G.; Zoller, M. F.

Abstract (englisch): We present analytical results for the leading top-Yukawa and QCD contribution to the β -function for the Higgs self-coupling λ of the Standard Model at four-loop level, namely the part ∝  y t 4 g s 6 independently confirming a result given in [1]. We also give the contribution ∝  y t 2 g s 6 of the anomalous dimension of the Higgs field as well as the terms ∝  y t g s 8 to the top-Yukawa β -function which can also be derived from the anomalous dimension of the top quark mass. We compare the results with the RG functions of the correlators of two and four scalar currents in pure QCD and find a new relation between the anomalous dimension γ 0 of the QCD vacuum energy and the anomalous dimension γ m SS appearing in the RG equation of the correlator of two scalar currents. Together with the recently computed top-Yukawa and QCD contributions to β gs [2, 3] the β -functions presented here constitute the leading four-loop contributions to the evolution of the Higgs self-coupling. A numerical estimate of these terms at the scale of the top-quark mass is presented as well as an analysis of the impact on the evolution of λ up to the Planck scale and the vacuum stability problem.

Zugehörige Institution(en) am KIT Institut für Theoretische Teilchenphysik (TTP)
Publikationstyp Zeitschriftenaufsatz
Jahr 2016
Sprache Englisch
Identifikator DOI: 10.1007/JHEP06(2016)175
ISSN: 1126-6708
URN: urn:nbn:de:swb:90-596828
KITopen ID: 1000059682
Erschienen in Journal of high energy physics
Band 2016
Heft 6
Seiten 175
Bemerkung zur Veröffentlichung Gefördert durch SCOAP3
Schlagworte Higgs Physics; Perturbative QCD Renormalization Group
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