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Singularity-free next-to-leading order ΔS = 1 renormalization group evolution and ϵK′/ϵK in the Standard Model and beyond

Kitahara, Teppei; Nierste, Ulrich; Tremper, Paul

Abstract (englisch):
The standard analytic solution of the renormalization group (RG) evolution for the ΔS = 1 Wilson coefficients involves several singularities, which complicate analytic solutions. In this paper we derive a singularity-free solution of the next-to-leading order (NLO) RG equations, which greatly facilitates the calculation of ϵK′, the measure of direct CP violation in K → ππ decays. Using our new RG evolution and the latest lattice results for the hadronic matrix elements, we calculate the ratio ϵK′/ϵK (with ϵK quantifying indirect CP violation) in the Standard Model (SM) at NLO to ϵK′/ϵK = (1.06 ± 5.07) × 10− 4, which is 2.8 σ below the experimental value. We also present the evolution matrix in the high-energy regime for calculations of new physics contributions and derive easy-to-use approximate formulae. We find that the RG amplification of new-physics contributions to Wilson coefficients of the electroweak penguin operators is further enhanced by the NLO corrections: if the new contribution is generated at the scale of 1-10 TeV, the RG evolution between the new-physics scale and the electroweak scale enhances these coefficients by 50-100%. ... mehr

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DOI: 10.5445/IR/1000064597
DOI: 10.1007/JHEP12(2016)078
Zitationen: 36
Web of Science
Zitationen: 29
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Theoretische Teilchenphysik (TTP)
Institut für Kernphysik (IKP)
Publikationstyp Zeitschriftenaufsatz
Publikationsjahr 2016
Sprache Englisch
Identifikator ISSN: 1029-8479, 1126-6708
KITopen-ID: 1000064597
HGF-Programm 51.01.01 (POF III, LK 01)
Erschienen in Journal of high energy physics
Band 2016
Heft 12
Seiten 078/1-46
Bemerkung zur Veröffentlichung ArXiv ePrint: 1607.06727
Gefördert durch SCOAP3
Schlagwörter Renormalization GroupCP; violation; Kaon Physics
Nachgewiesen in Scopus
Web of Science
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