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On conformal invariant integrals involving spin one-half and spin-one particles

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arxiv 0803.2630 v2 pith:H2LSNPCY submitted 2008-03-18 hep-th hep-ph

Indrajit Mitra This is my paper · ORCID
classification hep-thhep-ph
keywords integralsmasslessconformalevaluationinvariantone-halfparticlesspin
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We consider the evaluation of D-dimensional conformal invariant integrals which involve spin one-half and spin-one particles. The star-triangle relation for the massless Yukawa theory is derived, and the longitudinal part of the three-point Green function of massless QED is determined to the lowest order in position space. The operator algebraic method of calculating massless Feynman integrals is used for the evaluation.

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  1. A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals

    hep-ph 2024-12 conditional novelty 5.0 of 10

    A five-fold Mellin-Barnes integral for the massless box diagram is reduced to a two-fold triangle integral using analytical regularization and residue calculus, without Barnes lemmas.

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