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Wigner FK RMI Elméleti Osztály Szemináriuma
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                  Sam Van Thurenhout
                  (Wigner RMI)


"Anomalous dimensions of composite operators for exclusive hard 
scattering processes"


     címmel tartandó szemináriumára.


Kivonat:



We consider the renormalization of operator matrix elements for 
exclusive hard scattering processes in the chiral limit in the 
MS-bar-scheme. For such processes, mixing with total derivative 
operators has to be taken into account. By analyzing the renormalization 
structure of the operators in the chiral limit, we construct a 
consistency relation between the elements of the corresponding anomalous 
dimension matrices, which determine the scale-dependence of non-forward 
parton distributions. This relation, which is valid to all orders in the 
strong coupling α_s, then forms the basis for an algorithm to 
reconstruct the off-diagonal elements of such matrices. We apply the 
algorithm to multiple cases. In the limit of a large number of quark 
flavors nf, we determine the anomalous dimension matrices for Wilson 
operators to fifth order in the strong coupling. In the same 
approximation, the anomalous dimensions for the transversity operators 
are presented to fourth order. Finally, we also apply the algorithm to 
obtain some low-N results for the Wilson operators in full QCD to fifth 
order in α_s.



Helye: Wigner FK RMI III. ép. Tanácsterem
Ideje: 2022 november 25 péntek d.u. 14 óra

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