From the 1 of 7 linked papers with an AI index.
7 papers
The multiloop sunset to all orders
Pierre Vanhove
The paper provides exact, convergent formulas for multiloop sunset Feynman integrals in two dimensions for any mass configuration and any loop order, and introduces a dimension‑low…
Fano and Reflexive Polytopes from Feynman Integrals
Leonardo de la Cruz, Pavel P. Novichkov, Pierre Vanhove
We classify the Fano and reflexive polytopes that arise from quasi-finite Feynman integrals. These polytopes appear as scaled Minkowski sums of the Newton polytopes associated with…
Picard-Fuchs Equations of Twisted Differential forms associated to Feynman Integrals
Pierre Vanhove
Dimensionally or analytically regulated Feynman integrals lead to relative twisted period integrals. We present a recent extension of the Griffiths-Dwork pole reduction algorithm f…
The elliptic three-loop integrals of hadronic vacuum polarization in chiral perturbation theory
Laurent Lellouch, Alessandro Lupo, Mattias Sjö +1
This work presents a detailed account of the Feynman integrals required for the three-loop hadronic vacuum polarization calculation performed in arXiv:2510.12885. We explain how to…
The three-loop hadronic vacuum polarization in chiral perturbation theory
Mattias Sjö, Laurent Lellouch, Alessandro Lupo +2
Hadronic vacuum polarization is a key observable in low-energy QCD, and is famously the greatest contributor to the theoretical uncertainty in the muon magnetic moment. Its long-di…
Hadronic vacuum polarization to three loops in chiral perturbation theory
Laurent Lellouch, Alessandro Lupo, Mattias Sjö +2
Hadronic vacuum polarization at low virtualities limits the precision of experimental tests of the standard model via important physical observables. Here we compute that effect in…