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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 ... mehr

Zugehörige Institution(en) am KIT Institut für Theoretische Teilchenphysik (TTP)
Institut für Kernphysik (IKP)
Publikationstyp Zeitschriftenaufsatz
Jahr 2016
Sprache Englisch
Identifikator DOI: 10.1007/JHEP12(2016)078
ISSN: 1029-8479, 1126-6708
URN: urn:nbn:de:swb:90-645972
KITopen ID: 1000064597
HGF-Programm 51.01.01; LK 01
Erschienen in Journal of high energy physics
Band 2016
Heft 12
Seiten 078/1-46
Lizenz CC BY 4.0: Creative Commons Namensnennung 4.0 International
Bemerkung zur Veröffentlichung ArXiv ePrint: 1607.06727
Gefördert durch SCOAP3
Schlagworte Renormalization GroupCP; violation; Kaon Physics
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