Analysis of O(p^2) Corrections to <pi pi|Q_{7,8}|K>

Details Analysis of O(p^2) Corrections to <pi pi|Q_{7,8}|K> Analysis of O(p^2) Corrections to <pi pi|Q_{7,8}|K>

1999-12-27

arxiv.org/abs/hep-ph/9912513v1

Phys.Lett. B475 (2000) 351-360

Physics

High Energy Physics

High Energy Physics - Phenomenology

16 pages, 2 figures

Scientific paper

10.1016/S0370-2693(00)00098-8

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.

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