MathemAmplitudes 2023: QFT at the Computational Frontier

25 Sept 2023, 08:30 → 27 Sept 2023, 14:00 Europe/Rome

Palazzo del Monte di Pieta'

Hjalte Frellesvig (NBIA, Copenhagen), Ramona Gröber (Università di padova), Daniel Maître (IPPP, Durham), Manoj Mandal (University of Padova), Pierpaolo Mastrolia (Dipartimento di Fisica e Astronomia Università di Padova), Tiziano Peraro

The workshop aims to explore the latest developments in the evaluation of Feynman integrals and Scattering Amplitude by applying advanced computer algebra and mathematical methods. 

 

Recent studies connect Feynman Integrals and Scattering Amplitudes to concepts ranging from Differential and Algebraic Geometry, Number Theory, Combinatorics and Statistics. Pfaffian Equations, D-module theory, Stoke's theorem, Morse theory, Global Residue Theorem, Systems of linear equations, Finite Fields, Groebner bases, Tropical Geometry, Intersection Theory, to name a few, inspired the development of novel algorithms and software that pushed forward the computational frontier of scattering amplitudes, Feynman integrals, along with Euler-Mellin integrals and GKZ systems. 

 

This initiative aims at bringing together mathematicians and theoretical physicists, interested in computational aspects of algebraic geometry and quantum field theory with the goal of proposing new, interdisciplinary research directions.

 

---

---

Confirmed Speakers

• Souvik Bera  [IISc Bangalore]
• Jacob Bourjaily [Pennsylvania University]
• Ekta Chaubey [University of Bonn]
• Seva Chestnov [University of Bologna]
• Giulio Crisanti [University of Padova]
• Giuseppe De Laurentis [PSI, Zurich]
• Lance Dixon [SLAC]
• Christoph Dlapa [DESY]
• Matteo Fael [CERN]
• Claudia Fevola [MPI-MiS]
• Gaia Fontana [University of Zurich]
• Federico Gasparotto [University of Mainz]
• Gudrun Heinrich [ITP-KIT]
• Martijn Hidding [Uppsala University]
• Tobias Huber [Siegen University]
• David Kosower [IPhT-Saclay]
• Stefano Laporta [University of Bologna]
• Xiao Liu [University of Oxford]
• Yan-Qing Ma [Peking University]
• Andrzej Pokraka [Brown University]
• Simon Telen [MPI-MiS]
• Felix Tellander [DESY]
• William Torres Bobadilla [MPI, Munich]
• Johann Usovitsch [CERN]
• Andreas Von Manteuffel [Regensburg University]
• Mao Zeng [University of Edinburgh]
• Yang Zhang [USTC, China]
• Simone Zoia [University of Torino]

 

---

---

 

 

.         .      . 

 

 

 .   .            

         

 

GroupPhoto_1.jpg

GroupPhoto_2.jpg

Poster_MA2023.pdf

Monday, 25 September

Session: Session 1

1 Registration

2 Welcome Talk-1

Speaker: Flavio Seno

3 Welcome Talk-2

Speaker: Antonio Masiero

4 Welcome Talk-3

Speaker: Pierpaolo Mastrolia

0.Mastrolia_MA2023.pdf

5 Computational tools for amplitudes in full-color QCD

Speaker: Andreas V Manteuffel

1.Manteuffel_MA23.pdf

6 Reduction of symbolic propagator powers in Kira

Speaker: Johann Usovitsch

2.Usovitch_MA23.pdf

10:30 Coffe Break

Session: Session 2

7 Pfd-parallel and NeatIBP, two packages to shorten rational functions and IBP linear systems

Speaker: Yang Zhang

3.Zhang_MA23.pdf

8 Algorithms for computing three-loop Feynman integrals in Higgs plus jet production

Speaker: William Torres Bobadilla

4.TorresBobadilla_MA23.pdf

9 Differential Equations and Hypergeometric Systems

Speaker: Seva Chestnov

5.Chestnov_MA23.pdf

12:30 Lunch

Session: Session 3

10 Series expansion of multivariate hypergeometric series around its integer-valued parameters

Speaker: Souvik Bera

1.Bera_MA23.pdf

11 Principal Landau Determinants, part I

Speaker: Claudia Fevola

2.Fevola_MA23.pdf

12 Principal Landau Determinants, part II

Speaker: Simon Telen

3.Telen_MA23.pdf

16:00 Coffe Break

Session: Session 4

13 Symbol Alphabets from the Landau Singular Locus

Speaker: Christoph Dlapa

4.Dlapa_MA23.pdf

14 Mathematical and Physical Structures of Rational Functions in Scattering Amplitudes

Speaker: Giuseppe De Laurentis

5.DeLaurentis_MA23.pdf

Tuesday, 26 September

Session: Session 1

15 Feynman integrals reduction using Blade

Speaker: Yan-Qing Ma

1.Ma_MA23.pdf

16 A new method for the reconstruction of rational functions

Speaker: Xiao Liu

2.Liu_MA23.pdf

17 Generalizing Polylogarithms to Riemann Surfaces of Arbitrary Genus

Speaker: Martijn Hidding

3.Hidding_MA23.pdf

10:30 Coffe Break

Session: Session 2

18 Adding FUEL to FIRE for Faster IBP

Speaker: Mao Zeng

4.Zeng_MA23.pdf

19 Tropical Feynman Integration in the Physical Region

Speaker: Felix Tellander

5.Tellander_MA23.pdf

20 Intersection Numbers, Polynomial Division and Relative Cohomology

Speaker: Giulio Crisanti

6.Crisanti_MA23.pdf

12:30 Lunch

Session: Session 3

21 Intersection numbers & rational algorithms

Speaker: Gaia Fontana

1.Fontana_MA23.pdf

22 Cosmology Meets Cohomology

Speaker: Andrzej Pokraka

2.Pokraka_MA23.pdf

23 Lattice Correlation Functions from Differential Equations

Speaker: Federico Gasparotto

3.Gasparotto_MA23.pdf

Session: Session 4

24 Improving Integration and by Building Better Integrand Bases

Speaker: Jacob Bourjaily

16:30 Coffe Break

Session: Galilean Lecture

25 Welcome

Speaker: Fabio Zwirner

26 From On-Shell Methods to Solving Scattering in Planar N=4 Super-Yang-Mills

Speaker: Lance Dixon

27 A Dialogue with Geometry

Speaker: David Kosower

2.Kosower_MA23.pdf

19:30 Social Dinner

Wednesday, 27 September

Session: Session 1

28 2-loop scattering amplitudes with massive internal particles

Speaker: Ekta Chaubey

1.Chaubey_MA23.pdf

29 Function bases for canonical differential equations

Speaker: Simone Zoia

2.Zoia_MA23.pdf

30 A semi-analytic method for one-scale Feynman integrals

Speaker: Matteo Fael

3.Fael_MA23.pdf

10:30 Coffee Break

Session: Session 2

31 IBP Reduction using Gröbner bases

Speaker: Tobias Huber

4.Huber_MA23.pdf

32 Resultants and Difference equations

Speaker: Stefano Laporta

5.Laporta_MA23.pdf

33 New facets of pySecDec

Speaker: Gudrun Heinrich

6.Heinrich_MA23.pdf

34 Vote of Thanks

Speaker: Antonio Masiero