MathemAmplitudes 2023: QFT at the Computational Frontier

Sep 25, 2023, 8:30 AM → Sep 27, 2023, 2:00 PM 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.

 

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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]

 

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Poster_MA2023.pdf

Monday, September 25

8:45 AM → 10:30 AM Session: Session 1

8:45 AM Registration

9:00 AM Welcome Talk-1

Speaker: Flavio Seno

9:10 AM Welcome Talk-2

Speaker: Antonio Masiero

9:20 AM Welcome Talk-3

Speaker: Pierpaolo Mastrolia

0.Mastrolia_MA2023.pdf

9:30 AM Computational tools for amplitudes in full-color QCD

Speaker: Andreas V Manteuffel

1.Manteuffel_MA23.pdf

10:00 AM Reduction of symbolic propagator powers in Kira

Speaker: Johann Usovitsch

2.Usovitch_MA23.pdf

10:30 AM → 11:00 AM Coffe Break

11:00 AM → 12:30 PM Session: Session 2

11:00 AM Pfd-parallel and NeatIBP, two packages to shorten rational functions and IBP linear systems

Speaker: Yang Zhang

3.Zhang_MA23.pdf

11:30 AM Algorithms for computing three-loop Feynman integrals in Higgs plus jet production

Speaker: William Torres Bobadilla

4.TorresBobadilla_MA23.pdf

12:00 PM Differential Equations and Hypergeometric Systems

Speaker: Seva Chestnov

5.Chestnov_MA23.pdf

12:30 PM → 2:30 PM Lunch

2:30 PM → 4:00 PM Session: Session 3

2:30 PM Series expansion of multivariate hypergeometric series around its integer-valued parameters

Speaker: Souvik Bera

1.Bera_MA23.pdf

3:00 PM Principal Landau Determinants, part I

Speaker: Claudia Fevola

2.Fevola_MA23.pdf

3:30 PM Principal Landau Determinants, part II

Speaker: Simon Telen

3.Telen_MA23.pdf

4:00 PM → 4:30 PM Coffe Break

4:30 PM → 6:00 PM Session: Session 4

4:30 PM Symbol Alphabets from the Landau Singular Locus

Speaker: Christoph Dlapa

4.Dlapa_MA23.pdf

5:00 PM Mathematical and Physical Structures of Rational Functions in Scattering Amplitudes

Speaker: Giuseppe De Laurentis

5.DeLaurentis_MA23.pdf

Tuesday, September 26

9:00 AM → 10:30 AM Session: Session 1

9:00 AM Feynman integrals reduction using Blade

Speaker: Yan-Qing Ma

1.Ma_MA23.pdf

9:30 AM A new method for the reconstruction of rational functions

Speaker: Xiao Liu

2.Liu_MA23.pdf

10:00 AM Generalizing Polylogarithms to Riemann Surfaces of Arbitrary Genus

Speaker: Martijn Hidding

3.Hidding_MA23.pdf

10:30 AM → 11:00 AM Coffe Break

11:00 AM → 12:30 PM Session: Session 2

11:00 AM Adding FUEL to FIRE for Faster IBP

Speaker: Mao Zeng

4.Zeng_MA23.pdf

11:30 AM Tropical Feynman Integration in the Physical Region

Speaker: Felix Tellander

5.Tellander_MA23.pdf

12:00 PM Intersection Numbers, Polynomial Division and Relative Cohomology

Speaker: Giulio Crisanti

6.Crisanti_MA23.pdf

12:30 PM → 2:30 PM Lunch

2:30 PM → 4:00 PM Session: Session 3

2:30 PM Intersection numbers & rational algorithms

Speaker: Gaia Fontana

1.Fontana_MA23.pdf

3:00 PM Cosmology Meets Cohomology

Speaker: Andrzej Pokraka

2.Pokraka_MA23.pdf

3:30 PM Lattice Correlation Functions from Differential Equations

Speaker: Federico Gasparotto

3.Gasparotto_MA23.pdf

4:00 PM → 4:30 PM Session: Session 4

4:00 PM Improving Integration and by Building Better Integrand Bases

Speaker: Jacob Bourjaily

4:30 PM → 5:00 PM Coffe Break

5:30 PM → 7:30 PM Session: Galilean Lecture

5:50 PM Welcome

Speaker: Fabio Zwirner

6:00 PM From On-Shell Methods to Solving Scattering in Planar N=4 Super-Yang-Mills

Speaker: Lance Dixon

6:45 PM A Dialogue with Geometry

Speaker: David Kosower

2.Kosower_MA23.pdf

7:30 PM → 11:00 PM Social Dinner

Wednesday, September 27

9:00 AM → 10:30 AM Session: Session 1

9:00 AM 2-loop scattering amplitudes with massive internal particles

Speaker: Ekta Chaubey

1.Chaubey_MA23.pdf

9:30 AM Function bases for canonical differential equations

Speaker: Simone Zoia

2.Zoia_MA23.pdf

10:00 AM A semi-analytic method for one-scale Feynman integrals

Speaker: Matteo Fael

3.Fael_MA23.pdf

10:30 AM → 11:00 AM Coffee Break

11:00 AM → 12:40 PM Session: Session 2

11:00 AM IBP Reduction using Gröbner bases

Speaker: Tobias Huber

4.Huber_MA23.pdf

11:30 AM Resultants and Difference equations

Speaker: Stefano Laporta

5.Laporta_MA23.pdf

12:00 PM New facets of pySecDec

Speaker: Gudrun Heinrich

6.Heinrich_MA23.pdf

12:30 PM Vote of Thanks

Speaker: Antonio Masiero