TY - JOUR
T1 - Quadratic relations between Feynman integrals
AU - Broadhurst, David
AU - Roberts, David P.
PY - 2018
Y1 - 2018
N2 - Feynman integrals come in two varieties: polylogarithmic, or not. They are used in two ways: as contributions to an amplitude that is squared, or as contributions to an observable matrix element. In the former case, products of integrals occur, in the latter they do not. We report on products of non-polylogarithmic Feynman integrals related to the magnetic moment of the electron, giving details of an infinite set of quadratic relations between these integrals at all loops L > 2.
AB - Feynman integrals come in two varieties: polylogarithmic, or not. They are used in two ways: as contributions to an amplitude that is squared, or as contributions to an observable matrix element. In the former case, products of integrals occur, in the latter they do not. We report on products of non-polylogarithmic Feynman integrals related to the magnetic moment of the electron, giving details of an infinite set of quadratic relations between these integrals at all loops L > 2.
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M3 - Conference article
AN - SCOPUS:85073879175
VL - 303
JO - Proceedings of Science
JF - Proceedings of Science
SN - 1824-8039
T2 - 2018 Loops and Legs in Quantum Field Theory, LL 2018
Y2 - 29 April 2018 through 4 May 2018
ER -