Factorization and its Breaking in Dijet Single Transverse Spin Asymmetries in $pp$ Collisions

Abstract

We study factorization in single transverse spin asymmetries for dijet production in proton-proton collisions, by considering soft gluon radiation at one-loop order. We show that the associated transverse momentum dependent (TMD) factorization is valid at the leading logarithmic level. At next-to-leading-logarithmic (NLL) accuracy, however, we find that soft gluon radiation generates terms in the single transverse spin dependent cross section that differ from those known for the unpolarized case. As a consequence, these terms cannot be organized in terms of a spin independent soft factor in the factorization formula. We present leading logarithmic predictions for the single transverse spin dijet asymmetry for $pp$ collisions at RHIC, based on quark Sivers functions constrained by semi-inclusive deep inelastic scattering data. We hope that our results will contribute to a better understanding of TMD factorization breaking effects at NLL accuracy and beyond.

arXiv comment45 pages, 18 figures

References in corpus (67)

• Observation of a Centrality-Dependent Dijet Asymmetry in Lead-Lead Collisions at sqrt(S(NN))= 2.76 TeV with the ATLAS Detector at the LHC
• Observation and studies of jet quenching in PbPb collisions at nucleon-nucleon center-of-mass energy = 2.76 TeV
• Resummation of non-global QCD observables
• A Formalism for the Systematic Treatment of Rapidity Logarithms in Quantum Field Theory
• Drell-Yan production at small q_T, transverse parton distributions and the collinear anomaly
• Single Transverse-Spin Asymmetries in Hadronic Pion Production
• Evolution of Color Exchange in QCD Hard Scattering
• 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 Unified Picture for Single Transverse-Spin Asymmetries in Hard Processes
• Single transverse-spin asymmetry in high transverse momentum pion production in pp collisions
• Threshold Resummation for Dijet Cross Sections
• Sudakov Double Logarithms Resummation in Hard Processes in Small-x Saturation Formalism
• Effects of Higher-Order Threshold Corrections in High-E_T Jet Production
• Twist-3 Formalism for Single Transverse Spin Asymmetry Reexamined: Semi-Inclusive Deep Inelastic Scattering
• Accounting for coherence in interjet E_t flow: a case study
• Space-like (vs. time-like) collinear limits in QCD: is factorization violated?
• An Effective Field Theory for Forward Scattering and Factorization Violation
• Jet Charge at the LHC
• Scale dependence of twist-three contributions to single spin asymmetries
• Single Transverse-Spin Asymmetry in Drell-Yan Production at Large and Moderate Transverse Momentum
• Origin of single transverse-spin asymmetries in high-energy collisions
• TMD Evolution: Matching SIDIS to Drell-Yan and W/Z Boson Production
• Towards an explanation of transverse single-spin asymmetries in proton-proton collisions: the role of fragmentation in collinear factorization
• Single-Transverse Spin Asymmetry in Semi-Inclusive Deep Inelastic Scattering
• Single Transverse Spin Asymmetry for Large-p_T Pion Production in Semi-Inclusive Deep Inelastic Scattering
• Evolution of twist-3 multi-parton correlation functions relevant to single transverse-spin asymmetry
• Single spin asymmetries in hadron-hadron collisions
• Calculating the Charge of a Jet
• Asymmetric jet correlations in p p^\uparrow scattering
• Measurements of jet quenching with semi-inclusive hadron+jet distributions in Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV
• Next-to-leading Order Calculation of the Single Transverse Spin Asymmetry in the Drell-Yan Process
• Measurement of Dijet Azimuthal Decorrelations in pp Collisions at sqrt(s)=7 TeV
• Lepton-jet Correlations in Deep Inelastic Scattering at the Electron-Ion Collider
• Fragmentation contribution to the transverse single-spin asymmetry in proton-proton collisions
• Measurement of Dijet Azimuthal Decorrelations at Central Rapidities in pp-bar Collisions at sqrt(s)=1.96 TeV
• Dijet Azimuthal Decorrelations in pp Collisions at sqrt(s) = 7 TeV
• QCD Resummation for Single Spin Asymmetries
• Operator Constraints for Twist-3 Functions and Lorentz Invariance Properties of Twist-3 Observables
• Twist-three Fragmentation Function Contribution to the Single Spin Asymmetry in pp Collisions
• QCD Evolution of the Transverse Momentum Dependent Correlations
• Jet production in (un)polarized pp collisions: dependence on jet algorithm
• Soft Gluon Resummations in Dijet Azimuthal Angular Correlations at the Collider
• Universal Structure of Twist-3 Soft-Gluon-Pole Cross Sections for Single Transverse-Spin Asymmetry
• Sudakov suppression in azimuthal spin asymmetries
• Azimuthal decorrelations between QCD jets at all orders
• Dijet rates with symmetric E_t cuts
• Measurement of jet charge in dijet events from sqrt(s)=8 TeV pp collisions with the ATLAS detector
• Master Formula for Twist-3 Soft-Gluon-Pole Mechanism to Single Transverse-Spin Asymmetry
• Hadronic Dijet Imbalance and Transverse-Momentum Dependent Parton Distributions
• Transverse Momentum Resummation for Dijet Correlation in Hadronic Collisions
• Angular correlations in multi-jet final states from kt-dependent parton showers
• 1-loop matching and NNLL resummation for all partonic 2 to 2 processes in QCD
• Single Transverse-Spin Asymmetry in Hadronic Dijet Production
• Collinear matching for Sivers function at next-to-leading order
• Single-Transverse Spin Asymmetry in Dijet Correlations at Hadron Colliders
• Collinear factorization violation and effective field theory
• The colour evolution of the process q q -> q q g
• Color evolution of 2 -> 3 processes
• Measurements of jet charge with dijet events in pp collisions at sqrt(s) = 8 TeV
• Phenomenological constraints on $A_N$ in $p^{\uparrow }p\to \pi X$ from Lorentz invariance relations
• A note on the scale evolution of the ETQS function T_F(x,x)
• Dijet azimuthal correlations and conditional yields in $pp$ and $p$+Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 5.02 TeV with the ATLAS detector
• Factorization Violation and Scale Invariance
• Final state interactions in single- and multi-particle inclusive cross sections for hadronic collisions
• Toward NNLL Threshold Resummation for Hadron Pair Production in Hadronic Collisions
• On the Relation Between Mechanisms for Single-Transverse-Spin Asymmetries

Cited by in corpus (4)

• The Sivers Asymmetry in Hadronic Dijet Production
• QCD resummation of dijet azimuthal decorrelations in pp and pA collisions
• Anti-$k_T$ jet function at next-to-next-to-leading order
• Measurement of transverse single-spin asymmetries for dijet production in polarized proton-proton collisions at $\sqrt{\mathbf{s}}$ = 200 $\mathrm{GeV}$