Recent Developments from Feynman Integrals

Acta Physica Polonica B Proceedings Supplement, vol. 17, pp. 1

Abstract

This paper reviews recent developments in the field of analytical Feynman integral calculations. The central theme is the geometry associated to a given Feynman integral. In the simplest case, this is a complex curve of genus zero (aka the Riemann sphere). In this article, we discuss Feynman integrals related to more complicated geometries such as curves of higher genus or manifolds of higher dimensions. In the latter case, we encounter Calabi–Yau manifolds. We also discuss how to compute these Feynman integrals.

Authors 6

1. Robin Marzucca Aachen

   Eötvös Loránd University · Jagiellonian University · University of Debrecen · University of Alberta · University of Warsaw · University of Silesia in Katowice · RWTH Aachen University

   Affiliation as printed

   Alberta University Bhupal Dev, St. Louis,

   Budapest, Eötvös University and Debrecen University Małgorzata Worek, Aachen,

   Cracow, Jagiellonian University

   INFN Bohdan Grządkowski, Warsaw,

   RWTH Aachen University

   University German

   University of Silesia, August Chełkowski Institute of Physics Division for Physics of Fundamental Interactions, Polish Physical Society

   University of Warsaw Mikołaj Misiak, Warsaw,

   University of Warsaw Sven-Olaf Moch, Hamburg, Hamburg

   Washington University Carlo Giunti, Torino,

2. Andrew J. McLeod Aachen

   Eötvös Loránd University · Jagiellonian University · University of Debrecen · University of Alberta · University of Warsaw · University of Silesia in Katowice · RWTH Aachen University

   Affiliation as printed

   Alberta University Bhupal Dev, St. Louis,

   Budapest, Eötvös University and Debrecen University Małgorzata Worek, Aachen,

   Cracow, Jagiellonian University

   INFN Bohdan Grządkowski, Warsaw,

   RWTH Aachen University

   University German

   University of Silesia, August Chełkowski Institute of Physics Division for Physics of Fundamental Interactions, Polish Physical Society

   University of Warsaw Mikołaj Misiak, Warsaw,

   University of Warsaw Sven-Olaf Moch, Hamburg, Hamburg

   Washington University Carlo Giunti, Torino,

3. Ben Page Aachen

   Eötvös Loránd University · Jagiellonian University · University of Debrecen · University of Alberta · University of Warsaw · University of Silesia in Katowice · RWTH Aachen University

   Affiliation as printed

   Alberta University Bhupal Dev, St. Louis,

   Budapest, Eötvös University and Debrecen University Małgorzata Worek, Aachen,

   Cracow, Jagiellonian University

   INFN Bohdan Grządkowski, Warsaw,

   RWTH Aachen University

   University German

   University of Silesia, August Chełkowski Institute of Physics Division for Physics of Fundamental Interactions, Polish Physical Society

   University of Warsaw Mikołaj Misiak, Warsaw,

   University of Warsaw Sven-Olaf Moch, Hamburg, Hamburg

   Washington University Carlo Giunti, Torino,

4. Sebastian Pögel Aachen

   Eötvös Loránd University · Jagiellonian University · University of Debrecen · University of Alberta · University of Warsaw · University of Silesia in Katowice · RWTH Aachen University

   Affiliation as printed

   Alberta University Bhupal Dev, St. Louis,

   Budapest, Eötvös University and Debrecen University Małgorzata Worek, Aachen,

   Cracow, Jagiellonian University

   INFN Bohdan Grządkowski, Warsaw,

   RWTH Aachen University

   University German

   University of Silesia, August Chełkowski Institute of Physics Division for Physics of Fundamental Interactions, Polish Physical Society

   University of Warsaw Mikołaj Misiak, Warsaw,

   University of Warsaw Sven-Olaf Moch, Hamburg, Hamburg

   Washington University Carlo Giunti, Torino,

5. Xing Wang
6. Stefan Weinzierl A Aachen

   Eötvös Loránd University · Jagiellonian University · University of Debrecen · University of Alberta · University of Warsaw · University of Silesia in Katowice · RWTH Aachen University

   Affiliation as printed

   Alberta University Bhupal Dev, St. Louis,

   Budapest, Eötvös University and Debrecen University Małgorzata Worek, Aachen,

   Cracow, Jagiellonian University

   INFN Bohdan Grządkowski, Warsaw,

   RWTH Aachen University

   University German

   University of Silesia, August Chełkowski Institute of Physics Division for Physics of Fundamental Interactions, Polish Physical Society

   University of Warsaw Mikołaj Misiak, Warsaw,

   University of Warsaw Sven-Olaf Moch, Hamburg, Hamburg

   Washington University Carlo Giunti, Torino,