TMD factorization holds for diffractive massive quark-antiquark-gluon production in the correlation limit, with a new mass-dependent quark diffractive TMD in the antiquark-gluon hard pair case.
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The Color Glass Condensate and High Energy Scattering in QCD
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abstract
At very high energies or small values of Bjorken x, the density of partons, per unit transverse area, in hadronic wavefunctions becomes very large leading to a saturation of partonic distributions. When the scale corresponding to the density per unit transverse area, the saturation scale Q_s, becomes large (Q_s\gg \Lambda_{QCD}), the coupling constant becomes weak (\alpha_S(Q_s)\ll 1) which suggests that the high energy limit of QCD may be studied using weak coupling techniques. This simple idea can be formalized in an effective theory, the Color Glass Condensate (CGC), which describes the behavior of the small x components of the hadronic wavefunction in QCD. The Green functions of the theory satisfy Wilsonian renormalization group equations which reduce to the standard linear QCD evolution equations in the limit of low parton densities. The effective theory has a rich structure that has been explored using analytical and numerical techniques. The CGC can be applied to study a wide range of high energy scattering experiments from Deep Inelastic Scattering at HERA and the proposed Electron Ion Collider (EIC) to proton/deuterium-nucleus and nucleus-nucleus experiments at the RHIC and LHC colliders.
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Collinear factorization amplitudes exactly reproduce the large-Q² expansion of CGC amplitudes for inclusive DIS, DVCS, and DVMP at the amplitude level.
Unpolarized GPDs and GTMDs at small x with non-zero skewness are expressed via the dipole amplitude N and odderon O with modified rapidity Y = ln min{1/|x|, 1/|ξ|}.
Exact q qbar g contribution to diffractive DIS structure functions in the dipole model shows prior high-Q2 and high-MX2 approximations are inadequate and that soft quark terms are comparably important at high Q2.
A light-front Hamiltonian method evolves a quark through Glasma fields to obtain transverse momentum broadening and jet quenching consistent with classical scaling in saturation momentum.
SCET with Glauber operators factorizes elastic/single/double diffractive pp scattering, proving non-universality of hadronic functions versus ep while rapidity anomalous dimensions remain universal.
An IRC-safe azimuthal energy-flow cos2φ moment in DIS dijets linearly projects the elliptic gluon Wigner harmonic after a calculable kinematic subtraction.
The paper derives factorization of fixed-spin conformal moments of unpolarized gluon GTMDs into a universal staple-worldsheet soft factor and a target-dependent Witten amplitude, with UV/IR reductions and Reggeization via the holographic Pomeron.
All-order resummation of soft gluons for transverse energy-energy correlators in diffractive dijet production demonstrates sensitivity of acoplanarity to diffractive TMDs.
A Bayesian global fit at full NLO+NLL accuracy extracts the posterior distribution for the non-perturbative initial condition of the NLO Balitsky-Kovchegov equation from HERA inclusive and charm data.
Derives gauge-invariant equations of motion for kinetic and canonical momentum of particles in a classical non-Abelian background, finding that transverse fields contribute to kinetic momentum broadening even in the eikonal limit, and shows that an initial transverse Coulomb gauge reduces numerical
Collinearly improved IMST BK evolution moves the elliptic node and reshapes the rapidity and hard-scale dependence of coherent diffractive dijet ⟨cos2φ⟩ relative to LO BK, not just a normalization shift.
For the dipole gluon TMD, the Sudakov-limited maximum phase-space density of h_1^{⊥g} is 2 n_g^{max} ∼ 2 α_s^{-3/2} in the saturation region.
The work presents a dispersive fit for the refractive index of liquid argon incorporating anomalous dispersion and proposes jet drift in simulations of heavy-ion collisions as a way to disentangle medium properties from energy loss.
Heavy meson pair correlations in forward pA collisions are computed in the CGC framework with Sudakov resummation, reproducing LHCb data and showing a mass hierarchy in R_pA that strengthens at higher rapidity.
Replacing the rapidity argument of the dipole amplitude with ln min{1/|x|, 1/|ξ|} and refining initial conditions for non-linear evolution can eliminate two R-factors in small-x shockwave calculations.
MC-CGC simulations with rcBK evolution favor HERA-tuned MV^γ and MV^e initial conditions for LHCb forward hadron data, show kT factorization outperforming DHJ at mid-rapidity, and provide predictions for ALICE FoCal neutral mesons and jets.
A review summarizing experimental evidence, theoretical models of nuclear shadowing, model-agnostic nuclear PDF extractions, and prospects for LHC and EIC studies.
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TMD factorization in diffractive heavy-quark production in photon-nucleus collisions
TMD factorization holds for diffractive massive quark-antiquark-gluon production in the correlation limit, with a new mass-dependent quark diffractive TMD in the antiquark-gluon hard pair case.
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Matching collinear factorization with color-glass condensate for inclusive and exclusive deep inelastic scattering
Collinear factorization amplitudes exactly reproduce the large-Q² expansion of CGC amplitudes for inclusive DIS, DVCS, and DVMP at the amplitude level.
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Unpolarized GPDs at small $x$ and non-zero skewness
Unpolarized GPDs and GTMDs at small x with non-zero skewness are expressed via the dipole amplitude N and odderon O with modified rapidity Y = ln min{1/|x|, 1/|ξ|}.
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Diffractive deep inelastic scattering in the dipole picture: the $q\bar{q}g$ contribution in exact kinematics
Exact q qbar g contribution to diffractive DIS structure functions in the dipole model shows prior high-Q2 and high-MX2 approximations are inadequate and that soft quark terms are comparably important at high Q2.
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Light-front Hamiltonian jet evolution in the Glasma
A light-front Hamiltonian method evolves a quark through Glasma fields to obtain transverse momentum broadening and jet quenching consistent with classical scaling in saturation momentum.
-
Factorization of elastic, single, and double diffractive $pp$ scattering
SCET with Glauber operators factorizes elastic/single/double diffractive pp scattering, proving non-universality of hadronic functions versus ep while rapidity anomalous dimensions remain universal.
-
Energy-Flow Moments for Elliptic Gluon Wigner Tomography
An IRC-safe azimuthal energy-flow cos2φ moment in DIS dijets linearly projects the elliptic gluon Wigner harmonic after a calculable kinematic subtraction.
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Gluon GTMD at strong coupling: fixed-spin saddle factorization and Reggeization
The paper derives factorization of fixed-spin conformal moments of unpolarized gluon GTMDs into a universal staple-worldsheet soft factor and a target-dependent Witten amplitude, with UV/IR reductions and Reggeization via the holographic Pomeron.
-
Azimuthal decorrelation in diffractive dijet production
All-order resummation of soft gluons for transverse energy-energy correlators in diffractive dijet production demonstrates sensitivity of acoplanarity to diffractive TMDs.
-
Confronting Color Glass Condensate at next-to-leading order with HERA data
A Bayesian global fit at full NLO+NLL accuracy extracts the posterior distribution for the non-perturbative initial condition of the NLO Balitsky-Kovchegov equation from HERA inclusive and charm data.
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Kinetic and canonical momentum broadening in the Glasma
Derives gauge-invariant equations of motion for kinetic and canonical momentum of particles in a classical non-Abelian background, finding that transverse fields contribute to kinetic momentum broadening even in the eikonal limit, and shows that an initial transverse Coulomb gauge reduces numerical
-
Collinearly Improved Balitsky-Kovchegov Evolution of the Gluon Wigner Distribution
Collinearly improved IMST BK evolution moves the elliptic node and reshapes the rapidity and hard-scale dependence of coherent diffractive dijet ⟨cos2φ⟩ relative to LO BK, not just a normalization shift.
-
Maximum phase-space density of linearly polarized gluon TMDs in the saturation region
For the dipole gluon TMD, the Sudakov-limited maximum phase-space density of h_1^{⊥g} is 2 n_g^{max} ∼ 2 α_s^{-3/2} in the saturation region.
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Medium Characterization with Hard Probes: From Cherenkov Light in QED to Jet Drift in QCD
The work presents a dispersive fit for the refractive index of liquid argon incorporating anomalous dispersion and proposes jet drift in simulations of heavy-ion collisions as a way to disentangle medium properties from energy loss.
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Probing Saturation Effect in Heavy Meson Pair Correlation in Forward $pA$ Collisions
Heavy meson pair correlations in forward pA collisions are computed in the CGC framework with Sudakov resummation, reproducing LHCb data and showing a mass hierarchy in R_pA that strengthens at higher rapidity.
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On the Two $R$-Factors in the Small-$x$ Shockwave Formalism
Replacing the rapidity argument of the dipole amplitude with ln min{1/|x|, 1/|ξ|} and refining initial conditions for non-linear evolution can eliminate two R-factors in small-x shockwave calculations.
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Forward hadron production in pp collisions at LHC energies from an event generator based on the color glass condensate framework
MC-CGC simulations with rcBK evolution favor HERA-tuned MV^γ and MV^e initial conditions for LHCb forward hadron data, show kT factorization outperforming DHJ at mid-rapidity, and provide predictions for ALICE FoCal neutral mesons and jets.
-
Nuclear parton distributions and nuclear shadowing
A review summarizing experimental evidence, theoretical models of nuclear shadowing, model-agnostic nuclear PDF extractions, and prospects for LHC and EIC studies.
- Revisiting the role of saturation in diffractive vector meson production
- Nuclear structure and saturation effects from diffractive vector meson production