The Decay Sigma^+ -> p l^+ l^- within the Standard Model

Details The Decay Sigma^+ -> p l^+ l^- within the Standard Model The Decay Sigma^+ -> p l^+ l^- within the Standard Model

2005-06-07

arxiv.org/abs/hep-ph/0506067v2

Phys.Rev. D72 (2005) 074003

Physics

High Energy Physics

High Energy Physics - Phenomenology

19 pages, 8 figures, minor changes, version to appear in PRD

Scientific paper

10.1103/PhysRevD.72.074003

The HyperCP collaboration has recently reported the observation of three events for the decay Sigma^+ -> p mu^+ mu^-. They have suggested that new physics may be required to understand the implied decay rate and the observed M_{mumu} distribution. Motivated by this result, we re-examine this mode within the standard model, considering both the short-distance and long-distance contributions. The long-distance part depends on four complex form-factors. We determine their imaginary parts from unitarity, fix two of the real parts from the Sigma^+ -> p gamma measurements, and estimate the other two with vector-meson-dominance models. Taking into account constraints from Sigma^+ -> p e^+ e^-, we find that Sigma^+ -> p mu^+ mu^- is long-distance dominated and its rate falls within the range suggested by the HyperCP measurement.

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