Energy evolution of T-odd gluon TMDs at small $x$

Abstract

We study the energy or TMD evolution of the three leading twist dipole type T-odd gluon TMDs inside a transversely polarized nucleon, all of which at small $x$ dynamically originate from the spin dependent odderon. Their energy dependence presents a unique opportunity to study the polarization dependent TMD evolution in the small-$x$ region, where the distributions are identical up to a normalization constant at tree level. We further propose to study their evolution via azimuthal asymmetries in virtual photon-jet production in polarized proton-proton collisions at RHIC. We present model predictions for the asymmetries as functions of the large jet or photon transverse momentum and $Q^2$ which set the hard scales in this process.

arXiv comment9 pages,4 figures

References in corpus (75)

• Universality of Unintegrated Gluon Distributions at small x
• TMD Parton Distribution and Fragmentation Functions with QCD Evolution
• Transverse momentum dependence in gluon distribution and fragmentation functions
• Cronin Effect and High-p_T Suppression in pA Collisions
• No Generalized TMD-Factorization in the Hadro-Production of High Transverse Momentum Hadrons
• k_T factorization is violated in production of high-transverse-momentum particles in hadron-hadron collisions
• A New Odderon Solution in Perturbative QCD
• Gluon and Wilson loop TMDs for hadrons of spin $\le$ 1
• kt-factorization for Hard Processes in Nuclei
• Distribution of linearly polarized gluons inside a large nucleus
• The Construction of Gauge-Links in Arbitrary Hard Processes
• Sudakov Double Logarithms Resummation in Hard Processes in Small-x Saturation Formalism
• On the linearly polarized gluon distributions in the color dipole model
• Probing the Small-$x$ Gluon Tomography in Correlated Hard Diffractive Dijet Production in DIS
• Measurement of $e^{+}{e}^{-}$ Momentum and Angular Distributions from Linearly Polarized Photon Collisions
• Improved TMD factorization for forward dijet production in dilute-dense hadronic collisions
• Odderon in the Color Glass Condensate
• Photon production in high energy proton-nucleus collisions
• The distribution of linearly polarized gluons and elliptic azimuthal anisotropy in DIS dijet production at high energy
• Relating Transverse Momentum Dependent and Collinear Factorization Theorems in a Generalized Formalism
• Asymmetries in Heavy Quark Pair and Dijet Production at an EIC
• Transverse-momentum resummation for heavy-quark hadroproduction
• Perturbative Odderon in the Dipole Model
• Linear polarization of gluons and photons in unpolarized collider experiments
• Lepton-jet Correlations in Deep Inelastic Scattering at the Electron-Ion Collider
• Linearly-polarized small-x gluons in forward heavy-quark pair production
• Comparison of $pp$ and $p\bar{p}$ differential elastic cross sections and observation of the exchange of a colorless $C$-odd gluonic compound
• Helicity Evolution at Small-x
• Bessel-Weighted Asymmetries in Semi Inclusive Deep Inelastic Scattering
• Diffractive Dijet Production and Wigner Distributions from the Color Glass Condensate
• Probing the linear polarization of photons in ultraperipheral heavy ion collisions
• Probing Gluon Saturation through Dihadron Correlations at an Electron-Ion Collider
• Soft Gluon Resummations in Dijet Azimuthal Angular Correlations at the Collider
• Elliptic flow from color-dipole orientation in pp and pA collisions
• Transverse Momentum Dependent Parton Distributions at Small-x
• Measuring the Weizsaecker-Williams distribution of linearly polarized gluons at an EIC through dijet azimuthal asymmetries
• Helicity-dependent generalization of the JIMWLK evolution
• Anisotropy in Dijet Production in Exclusive and Inclusive Processes
• Azimuthal asymmetries for quark pair production in pA collisions
• Single spin asymmetries from a single Wilson loop
• Transverse single spin asymmetries at small x and the anomalous magnetic moment
• Dijet rates with symmetric E_t cuts
• Impact parameter dependence of the azimuthal asymmetry in lepton pair production in heavy ion collisions
• TMD evolution and the Higgs transverse momentum distribution
• The elliptic gluon GTMD inside a large nucleus
• Suppression of maximal linear gluon polarization in angular asymmetries
• Proton Spin Structure at Small-$x$
• Interplay of the CGC and TMD frameworks to all orders in kinematic twist
• On the Dihadron Angular Correlations in Forward $pA$ collisions
• Helicity-dependent extension of the McLerran-Venugopalan model
• Small-$x$ dynamics in forward-central dijet decorrelations at the LHC
• Quark Sivers Function at Small $x$: Spin-Dependent Odderon and the Sub-Eikonal Evolution
• Broadening and saturation effects in dijet azimuthal correlations in p-p and p-Pb collisions at $\sqrt{{\mathbf{s}}_{\mathbf{NN}}}=$ 5.02 TeV
• Resummation of Boson-Jet Correlation at Hadron Colliders
• Helicity at Small $x$: Oscillations Generated by Bringing Back the Quarks
• Recoil-free azimuthal angle for precision boson-jet correlation
• Signature of the gluon orbital angular momentum
• Color charge correlations in the proton at NLO: beyond geometry based intuition
• Azimuthal asymmetries in QCD hard scattering: infrared safe but divergent
• Probing the Sivers function with an unpolarized target: GTMD distributions and the Odderons
• Computing the gluon Sivers function at small-$x$
• Low-$x$ improved TMD approach to the lepto- and hadroproduction of a heavy-quark pair
• Comparison of improved TMD and CGC frameworks in forward quark dijet production
• Spin-dependent Pomeron and Odderon in elastic proton-proton scattering
• Sea quark Sivers distribution
• The spin dependent odderon in the diquark model
• Resumming subleading Sudakov logarithms in saturation regime
• Probing the gluon tomography in photoproduction of di-pions
• Sudakov effects in central-forward dijet production in high energy factorization
• Probing parton saturation with forward $Z^0$-boson production at small transverse momentum in p+p and p+A collisions
• The evolution of the small x gluon TMD
• Studying Coulomb correction at EIC and EicC
• Color entanglement for $\gamma$-jet production in polarized pA collisions
• Cubic color charge correlator in a proton made of three quarks and a gluon
• Color entanglement effect in collinear twist-3 factorization

Cited by in corpus (7)

• Harmonics of Parton Saturation in Lepton-Jet Correlations at the EIC
• Small-x Evolution of the Gluon Generalized Parton Distribution Eg of the Nucleon
• Stronger $C$-odd color charge correlations in the proton at higher energy
• Gluon Generalized TMDs and Wigner Distributions in boost invariant longitudinal space
• Transverse momentum dependent distribution functions in the threshold limit
• Single spin asymmetry in forward $pA$ collisions from Pomeron-Odderon interference
• Dijet photoproduction at low $x$ at next-to-leading order and its back-to-back limit