On epsilon_K beyond lowest order in the Operator Product Expansion

2010

214 citations recorded by the source corpus.

Abstract We analyse the structure of long distance (LD) contributions to the CP-violating parameter ϵ K , that generally affect both the absorptive ( Γ 12 ) and the dispersive ( M 12 ) parts of the K 0 – K ¯ 0 mixing amplitude. We point out that, in a consistent framework, in addition to LD contributions to Im Γ 12 , estimated recently by two of us, also LD contributions to Im M 12 have to be taken into account. Estimating the latter contributions the impact of LD effects on ϵ K is significantly reduced (from −6.0% to −3.6%). The overall effect of LD corrections and of the superweak phase being different from 45° is summarised by the multiplicative factor κ ϵ = 0.94 ± 0.02 .

Subfields: Computational Theory and Mathematics, Finance, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/6777d338b5ff1a1da1e6537d16239d325b5a9528

Citations in the corpus

• Opportunities in Flavour Physics at the HL-LHC and HE-LHC (2018, unknown): “, in [55]) produce values corresponding to a 4% contribution at most.”
• Higgs-mediated FCNCs: natural flavour conservation vs. minimal flavour violation (2010, unknown): “Here ’" = (43:51 0:05) takes into account that ’"6 = 4 and " = 0:94 0:02 [23, 44 ] includes an additional eect from long-distance contributions.”
• Kaon Decays in the Standard Model (2011, unknown): “…−MKS ) = 3.7× 104, (5.28) ηNLOtt = 0.5765± 0.0065, ηNLOcc = 1.43± 0.23 and ηNNLOct = 0.496 ± 0.047 are short-distance QCD corrections (Brod and Gorbahn, 2010; Buras et al., 1990; Herrlich and Nierste, 1996) and k = 0.94 ± 0.02 accounts for small longdistance contributions (Buras et al., 2010).”