Event calendar

EPP Theory Seminar: Andrew McLeod: Geometric Aspects of Feynman Integrals, at One Loop and Beyond


Our ability to make observable predictions in perturbative quantum field theory is directly impacted by our ability to evaluate Feynman integrals. Towards this end, I discuss various geometric aspects of these integrals that can be used to facilitate their computation. In particular, I review the correspondence between one-loop integrals and volumes of hyperbolic simplices, and use it to derive new compact formulas for the all-mass box and pentagon in four and five dimensions, respectively. I then discuss the types of geometries that show up in the integration contours of higher-loop integrals, and show that in many cases these integrals involve integrations over Calabi-Yau manifolds.


through PST