Threshold expansion of the sunset diagram

Details Threshold expansion of the sunset diagram Threshold expansion of the sunset diagram

1999-03-11

arxiv.org/abs/hep-ph/9903328v2

Nucl.Phys.B554:391-414,1999

Physics

High Energy Physics

High Energy Physics - Phenomenology

26 pages (23 pages in LaTeX and 3 PS figures), a typo in eq.(23) corrected; final version to appear in Nucl.Phys.B

Scientific paper

10.1016/S0550-3213(99)00269-2

By use of the threshold expansion we develop an algorithm for analytical evaluation, within dimensional regularization, of arbitrary terms in the expansion of the (two-loop) sunset diagram with general masses m_1, m_2 and m_3 near its threshold, i.e. in any given order in the difference between the external momentum squared and its threshold value, (m_1+m_2+m_3)^2. In particular, this algorithm includes an explicit recurrence procedure to analytically calculate sunset diagrams with arbitrary integer powers of propagators at the threshold.

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