Scattering Amplitudes across Germany

Contribution List

2. Registration

7/26/23, 9:00 AM

1. Welcome

Christoph Nega (TUM), Lorenzo Tancredi (TUM), Nikolaos Syrrakos (TUM)

7/26/23, 9:20 AM

Welcoming words and introduction to the workshop

3. Non-factorizable QCD corrections in hadron collider processes

Kirill Melnikov

7/26/23, 9:30 AM

I will discuss the recent progress with describing the non-factorizable QCD corrections
to Higgs boson production in weak boson fusion and single-top production at the LHC, focusing
on effects that arise beyond the leading eikonal approximation.

4. Integral reductions and computer algebra for amplitudes

Andreas von Manteuffel

7/26/23, 11:00 AM

Integration-by-parts reductions of Feynman integrals and methods from computer algebra play an important role in the calculation of multiloop scattering amplitudes. In this talk, I will review modern methods based on finite field arithmetics and polynomial ideal theory.

5. Multiscale Amplitudes for Colliders: Tools and Perspectives

Ben Page

7/26/23, 2:00 PM

In recent years, we have seen great progress in our ability to compute two-loop amplitudes describing the scattering of multiple particles. In this talk, we review the status of these calculations, the tools that made them possible as well as open questions and future directions.

6. Analytic computation of 2-loop scattering amplitudes for phenomenological applications

Ekta Chaubey

7/26/23, 3:00 PM

Analytic computation of multi-loop Feynman integrals is crucial for the current era of precision physics. These analytic computations often bring us to intriguing algebraic structures which help in establishing deep connections with Mathematics. In this talk I will talk about some analytic computations of 2-loop Feynman integrals with their phenomenological applications in mind.

7. Mathematical Structures in Massive Operator Matrix Elements and Wilson Coefficients

Johannes Blumlein

7/26/23, 4:30 PM

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15. IBP Reduction with Gröbner bases

Robin Bruser

7/26/23, 5:30 PM

In this talk we investigate how Gröbner bases theory can be used to perform integration-by-parts (IBP) reductions of loop integrals. The first part of the talk serves as brief introduction to Gröbner bases. In the second part we discuss the main idea on the example of one-loop bubble and one-loop box integrals. We see that the IBP relations form a left ideal in a rational double-shift algebra....

8. Canonical differential equations for six-point two-loop Feynman integrals

Julian Miczajka

7/27/23, 9:30 AM

It is well known, that the problem of calculating a particular family of Feynman integrals can often be solved most efficiently by finding a basis of master integrals which satisfies a differential equation in so-called canonical form. In this talk, we discuss recent progress in finding such a canonical basis for two families of Feynman integrals with six external particles at two loops in an...

9. Feynman integrals, geometries and differential equations

Stefan Weinzierl

7/27/23, 11:00 AM

In this talk I will review recent developments in the field of
analytical Feynman integral calculations.
In particular, I will discuss Feynman integrals related to non-trivial
geometries like an elliptic curve, or more general a Calabi-Yau manifold,
and methods how to compute these Feynman integrals.

10. On extended topological quantum field theory

Ilka Brunner

7/27/23, 2:00 PM

Topological quantum field theories (TQFT) are very simple models of quantum field theories. They allow for a mathematically rigorous definition and treatment. Physically, they are relevant since they describe subsectors of supersymmetric theories and also have applications in condensed matter. I will review some aspects of TQFT.

11. The complex simplicity of cosmological correlators

Ivo Sachs

7/27/23, 3:00 PM

I will review some aspects of the position space calulation of cosmological correlators in the in-in formalism. In some cases they can be mapped to AdS correlators, by double Wick rotation, that are simpler than the compuation of the cosmological wave function.

12. Fishnet Amplitudes and Quantum Volumes of Calabi-Yau and Picard Varieties

Albrecht Klemm

7/27/23, 5:00 PM

2d conformal graphs can be drawn on the regular tilings of the plane.
The corresponding amplitudes are solutions of the Yangian integrable
symmetry operators convoluted with the symmetry group of the graph.
To each graph we can associate a Calabi Yau variety defined by double
or triple cover constructions. The latter case corresponds to the
trivalent lattice and in this case the...

13. Scattering of spinning black holes at NNNLO

Jan Plefka

7/28/23, 9:30 AM

The need for high precision predictions of the general relativistic two-body problem for the future
generation of gravitational wave detectors has opened a new window for the application of perturbative
quantum field theory techniques to the domain of classical gravity. In this talk I will show how observables
in the classical scattering of black holes and neutron stars
can be...

14. Symbol Alphabets from the Landau Singular Locus

Georgios Papathanasiou

7/28/23, 11:00 AM

We provide evidence through two loops, that rational letters of polylogarithmic Feynman integrals are captured by the Landau equations, when the latter are recast as a polynomial of the kinematic variables of the integral, known as the principal A-determinant. Focusing on one loop, we further show how to also obtain all non-rational letters with the help of Jacobi determinant identities. We...