Probing Gluon Bose Correlations in Nuclear Wave Function in Deep Inelastic Scattering

Abstract

We extend the results of [Phys.Rev.Lett. 128 (2022) 18], where we argued that in the controlled environment of the Deep Inelastic Scattering experiments, Bose-Einstein correlation between gluons in a hadronic wave function can be accessed through the production of the diffractive dijet plus a third jet. In this observable, Bose-Einstein correlation causes the enhancement of the production cross sections at the zero relative angle between the transverse momentum imbalance of the photon-going dijet and the transverse momentum of the gluon jet, when the magnitude of the momentum imbalance is about the same as the magnitude of the produced gluon. In the present paper, we account for multiple scattering and non-linear effect in the target wave function. Although our equations can be applied to any high-energy DIS kinematics, to make them tractable numerically, we consider the high-momentum limit (momentum larger than $Q_s$) for the total momentum of the dijet, momentum imbalance, and the momentum of the produced gluon. By performing explicit numerical calculations, we confirm that the signal is present after accounting for multiple scattering.

arXiv comment31 pages, 7 figures

References in corpus (26)

• Computing Quark and Gluon Distribution Functions for Very Large Nuclei
• Gluon Distribution Functions for Very Large Nuclei at Small Transverse Momentum
• The Color Glass Condensate
• The Intrinsic Glue Distribution at Very Small x
• The ridge in proton-proton collisions at the LHC
• Double Parton Distributions Incorporating Perturbative QCD Evolution and Momentum and Quark Number Sum Rules
• Elements of a theory for multiparton interactions in QCD
• Sudakov Double Logarithms Resummation in Hard Processes in Small-x Saturation Formalism
• Probing the Small-$x$ Gluon Tomography in Correlated Hard Diffractive Dijet Production in DIS
• The four jet production at LHC and Tevatron in QCD
• Eikonal Evolution and Gluon Radiation
• Perturbative QCD correlations in multi-parton collisions
• The distribution of linearly polarized gluons and elliptic azimuthal anisotropy in DIS dijet production at high energy
• In pursuit of Pomeron loops: the JIMWLK equation and the Wess-Zumino term
• Dipole factorization for DIS at NLO I: Loop correction to the photon to quark-antiquark light-front wave-functions
• A Gaussian effective theory for gluon saturation
• On the one loop ${\gamma }^{(\ast )}\to q\bar{q}$ impact factor and the exclusive diffractive cross sections for the production of two or three jets
• Measuring the Weizsaecker-Williams distribution of linearly polarized gluons at an EIC through dijet azimuthal asymmetries
• Multi-gluon correlations and evidence of saturation from dijet measurements at an Electron Ion Collider
• Particle Correlations in Saturated QCD Matter
• Probing parton saturation and the gluon dipole via diffractive jet production at the Electron-Ion Collider
• Color Neutrality and the Gluon Distribution in a Very Large Nucleus
• Cos(4 phi) azimuthal anisotropy in small-x DIS dijet production beyond the leading power TMD limit
• Finite Numbers of Sources, Particle Correlations and the Color Glass Condensate
• Bose enhancement, the Liouville effective action and the high multiplicity tail in p-A collisions
• CGC for Ultra-Peripheral Pb+Pb Collisions at the Large Hadron Collider: a more realistic calculation

Cited by in corpus (1)

• Incoherent diffractive dijet production and gluon Bose enhancement in the nuclear wave function