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Revisiting RGEs for general gauge theories

Schienbein, I.; Staub, F.; Steudtner, T.; Svirina, K.

We revisit the renormalisation group equations (RGE) for general renormalisable gauge theories at one- and two-loop accuracy. We identify and correct various mistakes in the literature for the β-functions of the dimensionful Lagrangian parameters (the fermion mass, the bilinear and trilinear scalar couplings) as well as the dimensionless quartic scalar couplings. There are two sources for these discrepancies. Firstly, the known expressions for the scalar couplings assume a diagonal wave-function renormalisation which is not appropriate for models with mixing in the scalar sector. Secondly, the dimensionful parameters have been derived in the literature using a dummy field method which we critically re-examine, obtaining revised expressions for the β-function of the fermion mass. We perform an independent cross-check using well-tested supersymmetric RGEs which confirms our results. The numerical impact of the changes in the β-function for the fermion mass terms is illustrated using a toy model with a heavy vector-like fermion pair coupled to a scalar gauge singlet. Unsurprisingly, the correction to the running of the fermion mass becomes sizeable for large Yukawa couplings of the order of O(1). ... mehr

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Verlagsausgabe §
DOI: 10.5445/IR/1000089130
Veröffentlicht am 07.01.2019
DOI: 10.1016/j.nuclphysb.2018.12.001
Zitationen: 10
Web of Science
Zitationen: 9
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Kernphysik (IKP)
Institut für Theoretische Physik (ITP)
Publikationstyp Zeitschriftenaufsatz
Publikationsjahr 2019
Sprache Englisch
Identifikator ISSN: 0550-3213, 1873-1562
KITopen-ID: 1000089130
HGF-Programm 51.01.01 (POF III, LK 01) Teilchenphysik
Erschienen in Nuclear physics <Amsterdam> / B
Verlag North-Holland
Band 939
Heft 2
Seiten 1-48
Bemerkung zur Veröffentlichung Gefördert durch SCOAP3
Nachgewiesen in Web of Science
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