4 papers
Approximating Feynman integrals using complete monotonicity and Stieltjes properties
Sara Ditsch, Johannes M. Henn, Prashanth Raman
We present two novel approaches for the numerical evaluation of Feynman integrals based on their universal analytic properties related to positivity, namely complete monotonicity (…
Approximating Feynman Integrals Using Complete Monotonicity and Stieltjes Properties
Sara Ditsch, Johannes M. Henn, Prashanth Raman
We introduce two novel numerical approaches for computing Feynman integrals based on their complete monotonicity (CM) and Stieltjes properties. The first method uses that scalar Fe…
Analytic evaluation of the three-loop three-point form factor of in sYM
Johannes M. Henn, Jungwon Lim, William J. Torres Bobadilla
We compute analytically the three-loop correlation function of the local operator inserted into three on-shell states, in maximally supersymmetric Yang-Mills the…
Graded transcendental functions: an application to four-point amplitudes with one off-shell leg
Thomas Gehrmann, Johannes Henn, Petr Jakubčík +5
Several recent works have demonstrated the powerful algebraic simplifications that can be achieved for scattering amplitudes through a systematic grading of transcendental quantiti…