Higher order contributions induced by kinematical constraints in BFKL

24 Mar 2020, 17:42
18m
Brooklyn, NY

Brooklyn, NY

333 Adams Street, Brooklyn, New York 11201, USA
Contributed Talk Small-x, Diffraction and Vector Mesons Small-x, Diffraction and Vector Mesons

Speaker

Dr Michal Deak (Department of Physics, Penn State University)

Description

We perform analysis of the pole structure of the BFKL eigenvalues in Mellin space with different forms of the kinematical constraint imposed on the low x evolution. We find that all of them generate the same leading anti-collinear poles which agree with BFKL up to NLL order and up to NNLL in N=4 sYM. The coefficients of subleading poles vanish up to NNLL order for all constraints and we prove that this property should be satisfied to all orders. We demonstrate that further subleading poles generated by kinematical constraints differ from the NLL and NNLL results. We quantify the differences between the different forms of the constraints by performing numerical analysis both in Mellin space and in momentum space.

Primary author

Dr Michal Deak (Department of Physics, Penn State University)

Co-authors

Anna Stasto (Penn State University) Mr Wanchen Li (Pennsylvania State University) Krzysztof Kutak (IFJ PAN)

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