Multidimensional phase space and sunset diagrams
نویسندگان
چکیده
منابع مشابه
Configuration Space Based Recurrence Relations for Sunset-Type Diagrams
We derive recurrence relations for the calculation of multiloop sunset-type diagrams with large powers of massive propagators. The technique is formulated in configuration space and exploits the explicit form of the massive propagator raised to a given power. We write down and evaluate a convenient set of basis integrals. The method is well suited for a numerical evaluation of this class of dia...
متن کاملar X iv : h ep - t h / 01 01 14 8 v 2 3 0 Ju l 2 00 1 Multidimensional Phase Space and Sunset Diagrams
We derive expressions for the phase-space of a particle of momentum p decaying into N particles, that are valid for any number of dimensions. These are the imaginary parts of so-called 'sunset' diagrams, which we also obtain. The results are given as a series of hypergeometric functions, which terminate for odd dimensions and are also well-suited for deriving the threshold behaviour.
متن کاملar X iv : h ep - t h / 01 01 14 8 v 1 2 3 Ja n 20 01 Multidimensional Phase Space and Sunset Diagrams
We derive expressions for the phase-space of a particle of momentum p decaying into N particles, that are valid for any number of dimensions. These are the imaginary parts of so-called 'sunset' diagrams, which we also obtain. The results are given as a series of hypergeometric functions, which terminate for odd dimensions and are also well-suited for deriving the threshold behaviour.
متن کاملTwo - loop sunset diagrams with three massive lines
In this paper, we consider the two-loop sunset diagram with two different masses, m and M , at spacelike virtuality q2 = −m2. We find explicit representations for the master integrals and an analytic result through O(ε) in d = 4 − 2ε space-time dimensions for the case of equal masses, m = M . PACS: 11.15.-q, 12.38.Bx
متن کاملOn the evaluation of sunset-type Feynman diagrams
We introduce an efficient configuration space technique which allows one to compute a class of Feynman diagrams which generalize the scalar sunset topology to any number of massive internal lines. General tensor vertex structures and modifications of the propagators due to particle emission with vanishing momenta can be included with only a little change of the basic technique described for the...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2001
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.1416887