Feynman integral relations from parametric annihilators
@article{Bitoun2017FeynmanIR,
title={Feynman integral relations from parametric annihilators},
author={Thomas Bitoun and Christian Bogner and Ren{\'e} Pascal Klausen and Erik Panzer},
journal={Letters in Mathematical Physics},
year={2017},
volume={109},
pages={497-564}
}We study shift relations between Feynman integrals via the Mellin transform through parametric annihilation operators. These contain the momentum space integration by parts relations, which are well known in the physics literature. Applying a result of Loeser and Sabbah, we conclude that the number of master integrals is computed by the Euler characteristic of the Lee–Pomeransky polynomial. We illustrate techniques to compute this Euler characteristic in various examples and compare it with…
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