DIS Dijet Production: An operator basis bridging eikonal and TMD regimes
Abstract
We propose an operator basis for the unpolarized deep-inelastic scattering (DIS) quark-antiquark dijet production process smoothly connecting the all-twist eikonal regime to the back-to-back leading-twist TMD regime at arbitrary Bjorken x. Starting from the background-field quark propagator we construct an operator basis that organizes the eikonal and twist expansions within a unified formulation. Utilizing this operator basis we derive the dijet production amplitudes retaining all contributions required by either the leading-eikonal or the leading-twist description. In the eikonal limit the resulting amplitudes reproduce the all-twist Color Glass Condensate result, while in the back-to-back limit they reduce to the leading-twist gluon TMD-based result at arbitrary x. The operator basis can be systematically extended to include sub-eikonal and higher-twist corrections. Further, by examining the relationship of this operator basis to the improved TMD (iTMD) factorization we recover the iTMD structure in the eikonal limit. However, we find at non-zero x the transverse resummation generates longitudinal phases that prevent factorization in terms of a conventional TMD operator.
Related
- Twist-three quark TMDs from back-to-back dijet production in next-to-eikonal DIS
- Azimuthal decorrelation in diffractive dijet production
- Search for resonant and nonresonant production of pairs of dijet resonances with b jets in the final state in proton-proton collisions at √s = 13 TeV
- Operator-Level Description of Transient Thermal Grating Dynamics Across Transport Regimes
- quantum-safe: Bridging the Post-Quantum Production Gap with a Hybrid-by-Default Python Cryptography Library
BibTeX
@misc{kar2026dijet,
title = {{DIS Dijet Production: An operator basis bridging eikonal and TMD regimes}},
author = {Tiyasa Kar and Swagato Mukherjee and Vladimir Skokov and Shaswat Tiwari and Fei Yao},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.12363},
eprint = {2609.12363},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.12363},
}
RIS
TY - UNPB
TI - DIS Dijet Production: An operator basis bridging eikonal and TMD regimes
AU - Tiyasa Kar
AU - Swagato Mukherjee
AU - Vladimir Skokov
AU - Shaswat Tiwari
AU - Fei Yao
PY - 2026
DA - 2026/09/11
PB - arXiv
DO - 10.48550/arxiv.2609.12363
UR - https://arxiv.org/abs/2609.12363
AB - We propose an operator basis for the unpolarized deep-inelastic scattering (DIS) quark-antiquark dijet production process smoothly connecting the all-twist eikonal regime to the back-to-back leading-twist TMD regime at arbitrary Bjorken x. Starting from the background-field quark propagator we construct an operator basis that organizes the eikonal and twist expansions within a unified formulation. Utilizing this operator basis we derive the dijet production amplitudes retaining all contributions required by either the leading-eikonal or the leading-twist description. In the eikonal limit the resulting amplitudes reproduce the all-twist Color Glass Condensate result, while in the back-to-back limit they reduce to the leading-twist gluon TMD-based result at arbitrary x. The operator basis can be systematically extended to include sub-eikonal and higher-twist corrections. Further, by examining the relationship of this operator basis to the improved TMD (iTMD) factorization we recover the iTMD structure in the eikonal limit. However, we find at non-zero x the transverse resummation generates longitudinal phases that prevent factorization in terms of a conventional TMD operator.
ER -