Anatomy of a Weak Matrix Element

Details Anatomy of a Weak Matrix Element Anatomy of a Weak Matrix Element

1993-07-13

arxiv.org/abs/hep-ph/9307263v1

Phys.Lett. B315 (1993) 406-411

Physics

High Energy Physics

High Energy Physics - Phenomenology

Standard Latex file, 10 pgs (figure not included), UMHEP-390

Scientific paper

10.1016/0370-2693(93)91632-W

Although the weak nonleptonic amplitudes of the Standard Model are notoriously difficult to calculate, we have produced a modified weak matrix element which can be analyzed using reliable methods. This hypothetical nonleptonic matrix element is expressible in terms of the isovector vector and axialvector spectral functions $\rho_{\rm V}(s)$ and $\rho_{\rm A}(s)$, which can be determined in terms of data from tau lepton decay and $e^+ e^-$ annihilation. Chiral symmetry and the operator product expansion are used to constrain the spectral functions respectively in the low energy and the high energy limits. The magnitude of the matrix element thus determined is compared with its `vacuum saturation' estimate, and in the future may be accessible with lattice calculations.

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