Threshold expansion of Feynman diagrams within a configuration space technique

Abstract

The near threshold expansion of generalized sunset-type (water melon) diagrams with arbitrary masses is constructed by using a configuration space technique. We present analytical expressions for the expansion of the spectral density near threshold and compare it with the exact expression obtained earlier using the method of the Hankel transform. We formulate a generalized threshold expansion with partial resummation of the small mass corrections for the strongly asymmetric case where one particle in the intermediate state is much lighter than the others.

36 pages LaTeX, 7 postscript figures included, a reference added

References in corpus (7)

• Top Quark Pair Production close to Threshold: Top Mass, Width and Momentum Distribution
• The Massive Thermal Basketball Diagram
• Transcendental numbers and the topology of three-loop bubbles
• $O({\alpha }_s)$ corrections to the correlator of finite mass baryon currents
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• Effective Field Theory Dimensional Regularization
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• The Threshold Expansion of the 2-loop Sunrise Selfmass Master Amplitudes
• Coordinate space calculation of two- and three-loop sunrise-type diagrams, elliptic functions and truncated Bessel integral identities
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• Relativistic phase space: dimensional recurrences
• Calculating loops without loop calculations: NLO computation of pentaquark correlators
• Dispersive calculation of the massless multi-loop sunrise diagram
• Near threshold expansion of Feynman diagrams