Analysis of O(p^2) Corrections to <pi pi|Q_{7,8}|K>
High Energy Physics - Phenomenology
2009-10-31 v1
Abstract
The one-loop corrections to K->pi and K->2pi matrix elements of the electroweak penguin operator are calculated. General next-to-leading order relations between the K->pi and K->2pi amplitudes are obtained. The fractional shift Delta_2 = 0.27 +- 0.27 is found for the O(p^2) corrections to a recent chiral determination of <(pi pi)_{I=2}|Q_{7,8}|K^0>. We explain why the sign for Delta_2 is opposite to that expected from unitarization approaches based on the Omnes equation. We perform a background-field, heat-kernel determination of the divergent one-loop amplitudes for a general class of (V-A)x(V+A) operators.
Keywords
Cite
@article{arxiv.hep-ph/9912513,
title = {Analysis of O(p^2) Corrections to <pi pi|Q_{7,8}|K>},
author = {Vincenzo Cirigliano and Eugene Golowich},
journal= {arXiv preprint arXiv:hep-ph/9912513},
year = {2009}
}
Comments
16 pages, 2 figures