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RESEARCH PRODUCT

The Two Loop Crossed Ladder Vertex Diagram with Two Massive Exchanges

L. GrassiEttore RemiddiUgo AgliettiRoberto Bonciani

subject

Power seriesgeneralized harmonic polilogarithmsNuclear and High Energy Physicsmaster integrals530 PhysicsDifferential equationFOS: Physical sciencesloop calculationsMomentumnon planar two loop massive vertexsymbols.namesakeMultiHigh Energy Physics - Phenomenology (hep-ph)Quantum mechanicsFeynman diagramLaporta method3106 Nuclear and High Energy PhysicsFeynman diagramsPhysicsDiagramMathematical analysisLoop (topology)High Energy Physics - Phenomenology10231 Institute for Computational SciencesymbolsVertex (curve)Complex planenon planar two loop massive vertex; Laporta method; generalized harmonic polilogarithms; master integrals

description

We compute the (three) master integrals for the crossed ladder diagram with two exchanged quanta of equal mass. The differential equations obeyed by the master integrals are used to generate power series expansions centered around all the singular (plus some regular) points, which are then matched numerically with high accuracy. The expansions allow a fast and precise numerical calculation of the three master integrals (better than 15 digits with less than 30 terms in the whole real axis). A conspicuous relation with the equal-mass sunrise in two dimensions is found. Comparison with a previous large momentum expansion is made finding complete agreement.

yearjournalcountryeditionlanguage
2008-01-01
10.1016/j.nuclphysb.2007.07.019http://arxiv.org/abs/0705.2616