Conveners
Plenary 3
- E.W.N. Glover
Plenary 3
- E.W.N. Glover
We report on the heavy flavor QCD corrections in deep-inealstic scattering at 3-loop order.
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...
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...
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...
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...
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
$t\overline{t}H$ production at hadron colliders. Exploiting numerical
evaluations in modular arithmetic, we construct a basis of master integrals
satisfying a system of differential equations in $\epsilon$-factorized form.
We present...
