Matrix elements of unstable states

A. Rusetsky; D. Hoja; U.-G. Mei{\ss}ner; V. Bernard

Matrix elements of unstable states

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arxiv 1205.4642 v1 pith:7ND72YS5 submitted 2012-05-21 hep-lat hep-phnucl-th

Matrix elements of unstable states

V. Bernard , D. Hoja , U.-G. Mei{\ss}ner , A. Rusetsky This is my paper

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keywords elementsmatrixresonanceanalyticcalculationcomplexcontinuationderived

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Using the language of non-relativistic effective Lagrangians, we formulate a systematic framework for the calculation of resonance matrix elements in lattice QCD. The generalization of the L\"uscher-Lellouch formula for these matrix elements is derived. We further discuss in detail the procedure of the analytic continuation of the resonance matrix elements into the complex energy plane and investigate the infinite-volume limit.

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An on-shell decomposition of 2+J o2 electroweak amplitudes isolates OPE poles, logs, and triangle singularities, leaving only smooth short-distance functions.