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AMFlow: a Mathematica package for Feynman integrals computation via Auxiliary Mass Flow
AMFlow is a Mathematica package to numerically compute dimensionally
regularized Feynman integrals via the recently proposed auxiliary mass flow
method. In this framework, integrals are treated as functions of an auxiliary
mass parameter and their results can be obtained by constructing and solving
differential systems with respect to this parameter, in an automatic way. The
usage of this package is described in detail through an explicit example of
double-box family involved in two-loop hadroproduction.Comment: published version with 30 pages, 4 figures and 1 tabl
Interdimensional degeneracies for a quantum -body system in dimensions
Complete spectrum of exact interdimensional degeneracies for a quantum
-body system in -dimensions is presented by the method of generalized
spherical harmonic polynomials. In an -body system all the states with
angular momentum in dimensions are degenerate where
and are given and is an arbitrary integer if the representation
exists for the SO() group and . There is an
exceptional interdimensional degeneracy for an -body system between the
state with zero angular momentum in dimensions and the state with zero
angular momentum in dimensions.Comment: 8 pages, no figure, RevTex, Accepted by EuroPhys.Let
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