Antidifferentiation and the Calculation of Feynman Amplitudes

4 Oct 2020, 18:00 → 9 Oct 2020, 14:30 Europe/Berlin

Seminar Room III (DESY Zeuthen)

Carsten Schneider (RISC, J. Kepler University Linz), Johannes Bluemlein (DESY), Peter Marquard (DESY), Sven-Olaf Moch (UHH), Volker Schomerus (DESY Theory Group)

Monday 5 October

Monday morning

1 Analytic Integration Methods in QFT: an Introduction

Speaker: Prof. Johannes Bluemlein (DESY)

Slides ANTIDIFF20.pdf

2 Empirical determinations of Feynman integrals using integer relation algorithms

Speaker: Dr David Broadhurst (Open University)

Slides broadhurst_wpc20.pdf

11:20 Coffee

Monday morning

3 Holonomic relations for hypergeometric functions and modular forms

Speaker: Prof. Peter Paule (RISC, Linz)

Slides paule_hh.pdf

13:00 Lunch

Monday afternoon

4 Feynman Diagrams and (generalized) hypergeometric functions

Speaker: Dr M. Kalmykov (Hamburg)

Slides Kalmykov2.pdf

15:40 Coffee

Monday afternoon

5 Hyperlogarithms: Differential and difference equations from linear fibrations

Speaker: Dr Erik Panzer (U. Oxford)

Slides talk.pdf

Tuesday 6 October

Tuesday morning

11:15 Lunch

Tuesday afternoon

6 Summation Theory and Integration

Speaker: Dr Carsten Schneider (RISC, Linz)

Slides CS.pdf

7 Holonomic Integration

Speaker: Dr C. Koutschan (RICAM, Linz)

Slides Koutschan.pdf

15:20 Coffee

Tuesday afternoon

8 Survey on Integration by Parts

Speaker: Dr Peter Marquard (DESY)

Slides marquard.pdf

9 Some steps towards improving IBP calculations

Speaker: Dr Jos Vermaseren (Nikhef)

Slides des.pdf

Wednesday 7 October

Wednesday morning

10 Outer Space as a combinatorial backbone for Cutkosky rules and co-actions

Speaker: Prof. Dirk Kreimer (Humboldt U. Berlin)

Slides KREIMER.pdf

11 Analytic solution of differential equation systems

Speaker: Prof. Johannes Henn (MPI, Munich)

Slides HENN.pdf

11:20 Coffee

Wednesday morning

12 Expansion by regions: an overview

Speaker: Dr Vladimir Smirnov (Moscow State U.)

Slides smirnov.pdf

13:00 Lunch

Wednesday afternoon

slides WEIL.pdf

13 Calculating Four Loop Corrections in QCD

Speaker: Prof. Sven-Olaf Moch (U. Hamburg)

Slides anti-differentiation.pdf MOCH.pdf

15:40 Coffee

Wednesday afternoon

slides WEIL.pdf

14 Differential Galois Theory and Integration

Speaker: Prof. J.A. Weil (U. Limoges)

Thursday 8 October

Thursday morning

15 Top-down Decomposition: A Cut-based Approach to Integral Reductions

Speaker: Dr Hjalte Frellesvig (U. Padova)

Slides antidif.pdf

16 Computer algebra tools for nested integrals

Speaker: Dr C. Raab (JKU Linz)

Slides RAAB1.pdf

11:20 Coffee

Thursday morning

17 Elliptic Integrals

Speaker: Dr Stefan Weinzierl (U. Mainz)

Slides zeuthen6.pdf

13:00 Lunch

Thursday afternoon

18 A geometrical framework for amplitude recursions: bridging between trees

Speaker: Dr Johannes Broedel (Humboldt U. Berlin)

Slides 201007_WPC_Talk_Broedel.pdf

15:40 Coffee

Thursday afternoon

19 The Almkvist-Zeilberger algorithm and multi-integration

Speaker: Dr Jakob Ablinger (RISC, Linz)

Slides vortrag.pdf

Friday 9 October

Friday morning

20 Direct Integration for multi-leg amplitudes: Tips, Tricks, and When They Fail

Speaker: Dr Matthew von Hippel (Niels Bohr Institute)

Slides HIPPEL.pdf

10:10 Coffee

Friday morning

21 All-order amplitudes at any multiplicity in the multi-Regge limit

Speaker: Dr G. Papathanasiou (DESY)

Slides Papathanasiou_WPC_Zeuthen.pdf

22 The analytic structure of the 8-point amplitude in N=4 SYM

Speaker: Prof. Joachim Bartels (U. Hamburg)

Slides Zeuthen-October_2020.pdf

13:00 Lunch