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  • 标题:Dispersive construction of two-loop P->3pi (P=K,eta) amplitudes
  • 本地全文:下载
  • 作者:M. ZDRAHAL ; K. KAMPF ; M. Knecht
  • 期刊名称:PoS - Proceedings of Science
  • 印刷版ISSN:1824-8039
  • 出版年度:2009
  • 卷号:2009
  • 出版社:SISSA, Scuola Internazionale Superiore di Studi Avanzati
  • 摘要:The branching ratio of the h →3p decay is an important source of information on the value of the quark mass ratio 1R = md−mu ms−bm . Furthermore, isospin breaking effects in the decays K→3p provide information on the pion scattering lengths. The cusp effect in the K → 3p decays is presently being analyzed by the NA48 and KTeV experiments. From the theoretical point of view, these processes have been studied by different methods. We propose a unified and relativistic treatment relying on very general principles, unitarity, analyticity and crossing symmetry, combined with chiral counting, in order to construct model-independent representations of the corresponding amplitudes that are valid at two loops. A general description of the procedure is given and is illustrated in the case of the h decay amplitude in the leading order in the isospin breaking.
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