Scattering Amplitudes across Germany

Akademiezentrum Raitenhaslach

Akademiezentrum Raitenhaslach

Akademiezentrum Raitenhaslach Raitenhaslach 11 84489 Burghausen Tel.: +

The workshop aims to bring together the growing community of experts in scattering amplitudes in Germany. The workshop will focus mostly on formal developments, leaving also space for applications in Collider Physics, Gravity and Cosmology. The program will feature dedicated talks, but also leave ample time for discussions among participants. We hope this will be an opportunity to strengthen connections in our community across Germany and pave the way for future collaborations.

  • Albrecht Klemm
  • Andreas von Manteuffel
  • Antonela Matijasic
  • Ben Page
  • Benjamin Sauer
  • Cesare Carlo Mella
  • Christoph Nega
  • Dario Kermanschah
  • Ekta Chaubey
  • Fabian Wagner
  • Federico Buccioni
  • Federico Gasparotto
  • Franziska Porkert
  • Georgios Papathanasiou
  • Ilka Brunner
  • Ivo Sachs
  • Jan Plefka
  • Johannes Bluemlein
  • Johannes Henn
  • Julian Miczajka
  • Jungwon Lim
  • Kirill Melnikov
  • Lorenzo Tancredi
  • Maximilian Delto
  • Nikolaos Syrrakos
  • Philipp Kreer
  • Robin Brüser
  • Sara Ditsch
  • Sara Maggio
  • Sebastian Pögel
  • Stefan Weinzierl
  • Valentina Forini
  • William J. Torres Bobadilla
  • Xiaofeng Xu
  • Xing Wang
  • YuJiao Zhu
    • 3:00 PM
      Arrival of participants Hotel Glöcklhofer

      Hotel Glöcklhofer

      Ludwigsberg 4 84489 Burghausen

      Hotel check in

    • 1
    • 2

      Welcoming words and introduction to the workshop

      Speakers: Christoph Nega (TUM), Lorenzo Tancredi (TUM), Nikolaos Syrrakos (TUM)
    • 3
      Non-factorizable QCD corrections in hadron collider processes

      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.

      Speaker: Kirill Melnikov
    • 10:30 AM
      Coffee Break
    • 4
      Integral reductions and computer algebra for amplitudes

      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.

      Speaker: Andreas von Manteuffel
    • 12:00 PM
      Lunch Break
    • 5
      Multiscale Amplitudes for Colliders: Tools and Perspectives

      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.

      Speaker: Ben Page
    • 6
      Analytic computation of 2-loop scattering amplitudes for phenomenological applications

      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.

      Speaker: Ekta Chaubey
    • 4:00 PM
      Coffee Break
    • 7
      Mathematical Structures in Massive Operator Matrix Elements and Wilson Coefficients


      Speaker: Johannes Blumlein
    • 8
      IBP Reduction with Gröbner bases

      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. The IBP reduction of loop integrals then amounts to computing normal forms of shift operators of the rational double-shift algebra with respect to a Gröbner basis of the left ideal. Finally, in the last part we discuss an ansatz based on linear algebra to simulate the computation of normal forms. This approach can be used for complicated problems, when obtaining the Gröbner basis is computationally too expensive.

      Speaker: Robin Bruser
    • 7:00 PM
    • 9
      Canonical differential equations for six-point two-loop Feynman integrals

      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 arbitrary number of space-time dimensions. We also demonstrate how the resulting differential equation makes it straightforward to extract the identities that the integrals satisfy when the external kinematics lie in a four-dimensional space.

      Speaker: Julian Miczajka
    • 10:30 AM
      Coffee Break
    • 10
      Feynman integrals, geometries and differential equations

      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.

      Speaker: Stefan Weinzierl
    • 12:00 PM
      Lunch Break
    • 11
      On extended topological quantum field theory

      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.

      Speaker: Ilka Brunner
    • 12
      The complex simplicity of cosmological correlators

      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.

      Speaker: Ivo Sachs
    • 4:00 PM
      Coffee Break
    • 13
      Fishnet Amplitudes and Quantum Volumes of Calabi-Yau and Picard Varieties

      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 Calabi-Yau geometry is related
      to Picard varieties. The integrable structure implies flatness of the Gauss
      Manin connection of the geometry and amplitudes can be efficiently
      evaluated as the quantum volume of the associated geometries.

      Speaker: Albrecht Klemm
    • 7:00 PM
    • 14
      Scattering of spinning black holes at NNNLO

      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 efficiently computed in the post-Minkowskian expansion using a world-line quantum field theory;
      thereby importing multi-loop Feynman integration technology to this field.
      Here, the black holes or neutron stars are modelled as point particles in an effective field theory
      sense. Fascinatingly, the intrinsic spin of the black holes is captured by a supersymmetric
      extension of the world-line theory, enabling the computation of the far field wave-form and scattering angle
      including spin to highest precision. With a view towards the audience I will sketch our recent state-of-the-art
      NNNLO computation (4PM order) of Kerr-Black Hole scattering and the challenges and opportunities ahead.

      Speaker: Jan Plefka
    • 10:30 AM
      Coffee Break
    • 15
      Symbol Alphabets from the Landau Singular Locus

      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 verify our findings by explicitly constructing canonical differential equations and comparing with the existing literature, and finally extend the proof of the Cohen-Macauley property of one-loop integrals to a broader range of their kinematics.

      Speaker: Georgios Papathanasiou
    • 12:00 PM