Factorization in deep inelastic scattering at Bj\"orken limit: Reduction to (1+1)D integrable models

Abstract: We investigate structure functions in deep inelastic scattering processes (DIS) at Bj\"orken limit and found that they are factorized into the longitudinal and transversal parts. We see, that the longitudinal part can be linked to exact form factors calculated earlier in 1+1 dimensional integrable quantum field theories, such as sine-Gordon model. We extract asymptotic of Form-factors at small Bj\"orken parameter $x$ and compare it with experimental data of HERA and ZEUS collaborations on Deep inelastic lepton-proton scattering. We observe the factorization of the structure functions $F_2(x, q_2$) and find out its power behavior on scaling parameter $x$.

Based on arXiv:2503.11735

mathematical physicsdynamical systemsquantum algebrarepresentation theorysymplectic geometry

Audience: general audience

BIMSA Integrable Systems Seminar

Series comments: The aim is to bring together experts in integrable systems and related areas of theoretical and mathematical physics and mathematics. There will be research presentations and overview talks.

Audience: Graduate students and researchers interested in integrable systems and related mathematical structures, such as symplectic and Poisson geometry and representation theory.

The zoom link will be distributed by mail, so please join the mailing list if you are interested in attending the seminar.