Speaker
Description
In this talk I will revisit the evolution of generalised parton distributions (GPDs) in momentum space.
I will present a recalculation of the evolution kernels in the MSbar scheme at one-loop accuracy, confirming previous results.
The kernels are arranged in a form suitable for numerical implementation allowing for an easy implementation in an existing open source code (APFEL++).
I will then scrutinise the properties of these kernels and their effect on the evolution of GPDs.
Specifically, I will obtain general conditions on the evolution kernels deriving from the GPD sum rules, showing that our formulation obeys these conditions.
I will then show analytically that our calculation reproduces the DGLAP and the ERBL equations in the appropriate limits and that it guarantees the continuity of GPDs.
I will then move to show that our numerical implementation of GPD evolution fulfils DGLAP and ERBL limits, continuity, and polynomiality.
Finally, I will benchmark the numerical implementation against analytical evolution in conformal space and against an existing implementation of GPD evolution.
| speaker affiliation | IRFU, CEA, Université Paris-Saclay |
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