TL;DR
This paper proposes a novel analytic representation of higher twists in deep inelastic scattering, enabling a unified description of the Bjorken sum rule across all momentum transfers and exploring the role of TMDs and GPDs.
Contribution
It introduces an analytic approach to sum higher twists in DIS and links TMDs and GPDs to vacuum condensates and cosmological concepts.
Findings
The representation describes the Bjorken sum rule at all momentum transfers.
TMDs can accommodate an infinite tower of higher twists.
The D-term in GPDs relates to vacuum energy and cosmological constant.
Abstract
The representation for infinite sum of higher twists (HT) tower in DIS implied by analyticity of virtual Compton amplitude is suggested. Its simplest realization allows to describe the Bjorken sum rule at all momentum transfers. It is stressed that TMDs accommodate the infinite tower of HT similar to non-local vacuum condensates for the case of vacuum matrix element. The D-term in hadronic GPDs bears some similarity to vacuum cosmological constant. The negative sign of D-term may be understood as a similarity between inflation and annihilation via the graviton exchange.
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