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 -