Epsilon_K at Next-to-Next-to-Leading Order: The Charm-Top-Quark Contribution release_2rpekjcy5jh2vgdiis3dtcrh4e

by Joachim Brod, Martin Gorbahn

Released as a report .



We perform a next-to-next-to-leading order (NNLO) QCD analysis of the charm-top-quark contribution eta_ct to the effective Delta S = 2 Hamiltonian in the Standard Model. eta_ct represents an important part of the short distance contribution to the parameter epsilon_K. We calculate the three-loop anomalous dimension of the leading operator Q_S2, the three-loop mixing of the current-current and penguin operators into Q_S2, and the corresponding two-loop matching conditions at the electroweak, the bottom-quark, and the charm-quark scale. As our final numerical result we obtain eta_ct = 0.496 +/- 0.047, which is roughly 7% larger than the next-to-leading-order (NLO) value eta_ct(NLO) = 0.457 +/- 0.073. This results in a prediction for epsilon_K = (1.90 +/- 0.26) x 10^(-3), which corresponds to an enhancement of approximately 3.3% with respect to the value obtained using eta_ct(NLO).
In text/plain format

Archived Files and Locations

application/pdf  745.0 kB
archive.org (archive)
Read Archived PDF
Preserved and Accessible
Type  report
Stage   accepted
Date   2010-11-09
Version   v2
Language   en ?
Number  TTP 10-16
arXiv  1007.0684v2
Work Entity
access all versions, variants, and formats of this works (eg, pre-prints)
Catalog Record
Revision: ebc9cb25-6fb1-4426-97d4-ce8a3bb185f0