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N-loop running should be combined with N-loop matching

Braathen, Johannes; Goodsell, Mark D.; Krauss, Manuel E.; Opferkuch, Toby; Staub, Florian

We investigate the high-scale behavior of Higgs sectors beyond the Standard Model, pointing out that the proper matching of the quartic couplings before applying the renormalization group equations (RGEs) is of crucial importance for reliable predictions at larger energy scales. In particular, the common practice of leading-order parameters in the RGE evolution is insufficient to make precise statements on a given model’s UV behavior, typically resulting in uncertainties of many orders of magnitude. We argue that, before applying N-loop RGEs, a matching should even be performed at N-loop order in contrast to common lore. We show both analytical and numerical results where the impact is sizable for three minimal extensions of the Standard Model: a singlet extension, a second Higgs doublet and finally vector-like quarks. We highlight that the known two-loop RGEs tend to moderate the running of their one-loop counterparts, typically delaying the appearance of Landau poles. For the addition of vector-like quarks we show that the complete two-loop matching and RGE evolution hints at a stabilization of the electroweak vacuum at high energies, in contrast to results in the literature.

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Verlagsausgabe §
DOI: 10.5445/IR/1000081696
Veröffentlicht am 10.04.2018
DOI: 10.1103/PhysRevD.97.015011
Zitationen: 19
Web of Science
Zitationen: 14
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Kernphysik (IKP)
Institut für Theoretische Physik (ITP)
Publikationstyp Zeitschriftenaufsatz
Publikationsmonat/-jahr 01.2018
Sprache Englisch
Identifikator ISSN: 0556-2821, 1089-4918, 1550-2368, 1550-7998, 2470-0010, 2470-0029
KITopen-ID: 1000081696
HGF-Programm 51.01.01 (POF III, LK 01) Teilchenphysik
Erschienen in Physical review / D
Verlag American Physical Society (APS)
Band 97
Heft 1
Seiten Article: 015011
Bemerkung zur Veröffentlichung Gefördert durch SCOAP3
Nachgewiesen in Web of Science
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