Welcoming words and introduction to the workshop
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.
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.
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.
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.
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....
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...
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.
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.
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.
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...
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
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...