New differential equations for on-shell loop integrals

We present a novel type of differential equations for on-shell loop integrals. The equations are second-order and importantly, they reduce the loop level by one, so that they can be solved iteratively in the loop order. We present several infinite series of integrals satisfying such iterative differ...

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Veröffentlicht in:	The journal of high energy physics 2011-04, Vol.2011 (4), Article 83
Hauptverfasser:	Drummond, James M., Henn, Johannes M., Trnka, Jaroslav
Format:	Artikel
Sprache:	eng
Schlagworte:	Amplitudes Classical and Quantum Gravitation Differential equations Elementary Particles Exact solutions High energy physics High Energy Physics - Phenomenology High Energy Physics - Theory Infinite series Integrals Mathematical analysis Operators (mathematics) Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Relativity Theory Scattering String Theory Topology Transcendental functions
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