Long-distance contribution to the muon-polarization asymmetry in K^+\to π^+ μμ

Details Long-distance contribution to the muon-polarization asymmetry in K^+\to π^+ μμ Long-distance contribution to the muon-polarization asymmetry in K^+\to π^+ μμ

2001-11-09

arxiv.org/abs/hep-ph/0111118v1

Phys.Rev. D65 (2002) 076001

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, 2 figures

Scientific paper

10.1103/PhysRevD.65.076001

We revisit the calculation of the long-distance contribution to the muon-polarization asymmetry \Delta_{LR}, which arises, in K^+\to\pi^+\mu^+\mu^-, from the two-photon intermediate state. The parity-violating amplitude of this process, induced by the local anomalous K^+\pi^-\gamma^*\gamma^* transition, is analysed; unfortunately, one cannot expect to predict its contribution to the asymmetry by using chiral perturbation theory alone. Here we evaluate this amplitude and its contribution to \Delta_{LR} by employing a phenomenological model called the FMV model, in which the utility of the vector and axial-vector resonances exchange is important to soften the ultraviolet behaviour of the transition. We find that the long-distance contribution is of the same order of magnitude as the standard model short-distance contribution.

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