ELFT HÍRADÓ

[Somogyi Gábor <somogyi.gabor AT wigner.hu>]

Wigner FK RMI Elméleti Osztály Szemináriuma
Tisztelettel meghívjuk


    Leonid Shumilov
    (University of Hamburg)


"Three-loop evolution kernel for transversity operator”


címmel tartandó szemináriumára.


Kivonat:



In this talk, I will present the results of our recent three-loop calculation 
for the evolution kernel of QCD twist-2 non-singlet operators with 
transversity Dirac structure. This result also can be seen as the NNLO 
(next-to-next-to-leading order) off-forward anomalous dimension matrix. Using 
light-ray operator representation and corresponding evolution kernels 
provides an efficient way to exploit symmetries of the problem of scale 
evolution for non-perturbative partonic distributions. Namely, in this 
approach, we use underlying symmetry of RG-equation under transformation from 
the collinear subgroup of the conformal group. This allows us to simplify the 
three-loop calculation by reducing it to a two-loop calculation of a specific 
term called the conformal anomaly. I will give an overview of the conformal 
anomaly method, which relies on considering QCD at a critical point in 
non-integer dimensions, and will outline some technical parts of our work, 
including the calculation of Feynman diagrams and solving differential 
equations for the integral kernels of evolution operators. This talk is based 
on the paper [2407.12696] in collaboration with Alexander Manashov and 
Sven-Olaf Moch.



Helye: Wigner FK RMI III. ép. Tanácsterem
Ideje: 2024 november 8. péntek d.u. 14 óra

Szívesen látunk minden érdeklődőt.


               Somogyi Gábor