4 papers · 1 filter
The Stieltjes Bootstrap for Feynman Integrals
Hadrien Brochet, Maximilian Haensch, Johannes Henn +4
We prove that scalar Feynman integrals are Stieltjes functions in each kinematic variable , as well as in the particle masses, for arbitrary loop order, arbitrary nu…
Analytic Continuation of Conformal Integrals in Momentum Space
Jonathan Gräfe, Prashanth Raman, Denis Werth
Conformal symmetry strongly constrains correlation functions. In momentum space, the conformal Ward identities are solved for three-point functions by integrals of a product of thr…
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 (…
Lecture Notes on Positivity Properties of Scattering Amplitudes
Prashanth Raman
We review completely monotone (CM) and Stieltjes functions, which are classes of functions obeying an infinite hierarchy of positivity constraints. While these are classical concep…