Quark off-shell contributions to $K_{L}\toγγ$ in a bound-state approach

Details Quark off-shell contributions to $K_{L}\toγγ$ in a bound-state approach Quark off-shell contributions to $K_{L}\toγγ$ in a bound-state approach

1995-01-20

arxiv.org/abs/hep-ph/9501350v1

Phys.Lett. B348 (1995) 239-246

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, plain latex, 2 figures not included

Scientific paper

10.1016/0370-2693(95)00100-Y

We present a new piece of evidence in favour of the importance of the quark off-shellness in the kaon. The matrix elements of the flavour-changing operators for $K_{L}\to\gamma\gamma$ comply with the general behaviour of the matrix elements expected in the pairing bound-state model used here. The present calculation in essence agrees with previous chiral-quark results. The off-shell contribution turns out to be dominant (the model on-shell amplitude being at the 10% level). Compared with the chiral perturbation-theory approach, our off-shell contribution is an entirely new ${\cal{O}}(p^{4})$ {\em direct-decay} piece, whereas the non-diagonal magnetic-moment term belongs to the order ${\cal{O}}(p^{6})$.

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