Loops and Legs in Quantum Field Theory

Session

Plenary 3

17 Apr 2024, 09:00

Martin Luther

Conveners

Plenary 3

• E.W.N. Glover

Plenary 3

• E.W.N. Glover

Presentation materials

FORM_Symbolica.pdf

61. Heavy flavor QCD corrections in deep-inealstic scattering at 3-loop order

Johannes Bluemlein (Z_ZPPT (Zeuthen Particle PhysicsTheory))

17/04/2024, 09:00

We report on the heavy flavor QCD corrections in deep-inealstic scattering at 3-loop order.

17. QCD splitting functions at four-loop order

Tongzhi Yang (University of Zurich)

17/04/2024, 09:30

Splitting functions, also known as DGLAP evolution kernel, govern the scale evolution of parton distribution functions. One of the most efficient methods for calculating these splitting functions is by utilizing off-shell operator matrix elements. However, in the singlet sector, complications arise as physical operators become intertwined with non-physical operators, leading to intricate...

5. Four loop splitting functions in QCD

Sven-Olaf Moch (UNI/TH (Uni Hamburg, Institut fuer Theoretische Physik))

17/04/2024, 10:00

We have extended our previous computations of the even-N moments of the flavour-singlet four-loop splitting functions to N = 12 for the pure-singlet quark case and N = 10 for all other cases. These results, obtained using physical quantities in inclusive deep-inelastic scattering, have been and will be used to validate conceptionally much more challenging determinations of these splitting...

7. The gradient-flow formalism in perturbation theory

Robert Harlander (RWTH Aachen University)

17/04/2024, 11:00

The gradient-flow formalism constitutes a regularization scheme for ultra-violet divergences which can be implemented both in perturbation theory and on the lattice. This paves unique ways of combining these two approaches to quantum field theoretical calculations in a consistent way. I will present a number of examples where such synergy effects have been explored. The focus of this talk is...

78. Two-loop amplitude reduction with HELAC

Costas Papadopoulos (NCSR-D)

17/04/2024, 11:30

I will present recent progress in constructing a generic two-loop amplitude reduction algorithm within the computational framework HELAC. Following HELAC tree- and one-loop paradigm, we have completed the generation and validation of the two-loop amplitude-integrand in QCD. Following the well-known OPP reduction approach, we express the amplitude in terms of Feynman integrals which are further...

28. Two-Loop Master Integrals for Leading-Color $pp\to t\bar{t}H$ Amplitudes with a Light-Quark Loop

Ben Page (Ghent University)

17/04/2024, 12:00

In this talk, we discuss the computation of the two-loop master integrals for
leading-color QCD scattering amplitudes including a closed light-quark loop in
$t\bar{t}H$ production at hadron colliders. Exploiting numerical
evaluations in modular arithmetic, we construct a basis of master integrals
satisfying a system of differential equations in $ϵ$-factorized form.
We present...