Low and moderate x gluon contribution to exclusive Compton scattering processes

Boussarie, R.; Mehtar-Tani, Y.

doi:10.1007/jhep10(2024)056

Title: Low and moderate x gluon contribution to exclusive Compton scattering processes

Journal Article · 08 October 2024 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep10(2024)056 · OSTI ID:2475353

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Ecole Polytechnique, Palaiseau (France). Centre de Physique Théorique (CPHT); Centre National de la Recherche Scientifique (CNRS), Palaiseau (France); Institut Polytechnique de Paris, Palaiseau (France)
Brookhaven National Laboratory (BNL), Upton, NY (United States)

We revisit the high energy semi-classical description of the exclusive processes DVCS, TCS, and Double DVCS by explicitly keeping track of the Feynman x dependence in both the hard and the hadronic matrix elements. This is achieved by a modification of the standard shock wave approximation to derive the effective Feynman rules, which leads to a generic expression on which we then perform a partial twist expansion to get rid of quantities suppressed by the proper physical scales. We obtain a compact factorized master formula that can be used to investigate the Bjorken limit at leading twist. In particular, we recover the full one-loop result in the collinear limit for pure gluon exchange with the target. Finally, we discuss the subtleties in taking the simultaneous collinear and small x limit.

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Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP); USDOE Laboratory Directed Research and Development (LDRD) Program

Grant/Contract Number:: SC0012704

OSTI ID:: 2475353

Report Number(s):: BNL--226295-2024-JAAM

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 10 Vol. 2024; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

References (38)

Wave Functions, Evolution Equations and Evolution Kernels from Light-Ray Operators of QCD Müller, D.; Robaschik, D.; Geyer, B. Fortschritte der Physik/Progress of Physics, Vol. 42, Issue 2 https://doi.org/10.1002/prop.2190420202	journal	January 1994
Medium-induced gluon branching Blaizot, Jean-Paul; Dominguez, Fabio; Iancu, Edmond Journal of High Energy Physics, Vol. 2013, Issue 1 https://doi.org/10.1007/JHEP01(2013)143	journal	January 2013
Next-to-next-to-eikonal corrections in the CGC Altinoluk, Tolga; Armesto, Néstor; Beuf, Guillaume Journal of High Energy Physics, Vol. 2016, Issue 1 https://doi.org/10.1007/JHEP01(2016)114	journal	January 2016
Non-linear evolution in QCD at high-energy beyond leading order Ducloué, B.; Iancu, E.; Mueller, A. H. Journal of High Energy Physics, Vol. 2019, Issue 4 https://doi.org/10.1007/JHEP04(2019)081	journal	April 2019
Interplay of the CGC and TMD frameworks to all orders in kinematic twist Altinoluk, Tolga; Boussarie, Renaud; Kotko, Piotr Journal of High Energy Physics, Vol. 2019, Issue 5 https://doi.org/10.1007/JHEP05(2019)156	journal	May 2019
Next-to-eikonal corrections in the CGC: gluon production and spin asymmetries in pA collisions Altinoluk, Tolga; Armesto, Néstor; Beuf, Guillaume Journal of High Energy Physics, Vol. 2014, Issue 7 https://doi.org/10.1007/JHEP07(2014)068	journal	July 2014
Gluon-mediated inclusive Deep Inelastic Scattering from Regge to Bjorken kinematics Boussarie, Renaud; Mehtar-Tani, Yacine Journal of High Energy Physics, Vol. 2022, Issue 7 https://doi.org/10.1007/JHEP07(2022)080	journal	July 2022
Low x physics as an infinite twist (G)TMD framework: unravelling the origins of saturation Altinoluk, Taiga; Boussarie, Renaud Journal of High Energy Physics, Vol. 2019, Issue 10 https://doi.org/10.1007/JHEP10(2019)208	journal	October 2019
Operator expansion for high-energy scattering Balitsky, I. Nuclear Physics B, Vol. 463, Issue 1 https://doi.org/10.1016/0550-3213(95)00638-9	journal	March 1996
Predictions from conformal algebra for the deeply virtual Compton scattering Belitsky, A. V.; Müller, D. Physics Letters B, Vol. 417, Issue 1-2 https://doi.org/10.1016/S0370-2693(97)01390-7	journal	January 1998
NLO corrections to deeply-virtual Compton scattering Mankiewicz, L.; Piller, G.; Stein, E. Physics Letters B, Vol. 425, Issue 1-2 https://doi.org/10.1016/S0370-2693(98)00190-7	journal	April 1998
Deeply virtual Compton scattering in next-to-leading order Belitsky, A. V.; Müller, D.; Niedermeier, L. Physics Letters B, Vol. 474, Issue 1-2 https://doi.org/10.1016/S0370-2693(99)01283-6	journal	February 2000
QCD dipole model and factorization Bialas, A.; Navelet, H.; Peschanski, R. Nuclear Physics B, Vol. 593, Issue 3 https://doi.org/10.1016/S0550-3213(00)00640-4	journal	January 2001
A novel formulation of the unintegrated gluon distribution for DIS Boussarie, Renaud; Mehtar-Tani, Yacine Physics Letters B, Vol. 831 https://doi.org/10.1016/j.physletb.2022.137125	journal	August 2022
Generalized parton distributions Diehl, M. Physics Reports, Vol. 388, Issue 2-4 https://doi.org/10.1016/j.physrep.2003.08.002	journal	December 2003
Unraveling hadron structure with generalized parton distributions Belitsky, A. V.; Radyushkin, A. V. Physics Reports, Vol. 418, Issue 1-6 https://doi.org/10.1016/j.physrep.2005.06.002	journal	October 2005
Role of the chiral anomaly in polarized deeply inelastic scattering: Finding the triangle graph inside the box diagram in Bjorken and Regge asymptotics Tarasov, Andrey; Venugopalan, Raju Physical Review D, Vol. 102, Issue 11 https://doi.org/10.1103/PhysRevD.102.114022	journal	December 2020
Gauge invariance of transverse momentum dependent distributions at small x Boussarie, Renaud; Mehtar-Tani, Yacine Physical Review D, Vol. 103, Issue 9 https://doi.org/10.1103/PhysRevD.103.094012	journal	May 2021
Role of the chiral anomaly in polarized deeply inelastic scattering. II. Topological screening and transitions from emergent axionlike dynamics Tarasov, Andrey; Venugopalan, Raju Physical Review D, Vol. 105, Issue 1 https://doi.org/10.1103/PhysRevD.105.014020	journal	January 2022
Chiral and trace anomalies in deeply virtual Compton scattering Bhattacharya, Shohini; Hatta, Yoshitaka; Vogelsang, Werner Physical Review D, Vol. 107, Issue 1 https://doi.org/10.1103/PhysRevD.107.014026	journal	January 2023
Chiral and trace anomalies in deeply virtual Compton scattering. II. QCD factorization and beyond Bhattacharya, Shohini; Hatta, Yoshitaka; Vogelsang, Werner Physical Review D, Vol. 108, Issue 1 https://doi.org/10.1103/PhysRevD.108.014029	journal	July 2023
Unified description of DGLAP, CSS, and BFKL evolution: TMD factorization bridging large and small x Mukherjee, Swagato; Skokov, Vladimir V.; Tarasov, Andrey Physical Review D, Vol. 109, Issue 3 https://doi.org/10.1103/PhysRevD.109.034035	journal	February 2024
Computing quark and gluon distribution functions for very large nuclei McLerran, Larry; Venugopalan, Raju Physical Review D, Vol. 49, Issue 5 https://doi.org/10.1103/PhysRevD.49.2233	journal	March 1994
Gluon distribution functions for very large nuclei at small transverse momentum McLerran, Larry; Venugopalan, Raju Physical Review D, Vol. 49, Issue 7 https://doi.org/10.1103/PhysRevD.49.3352	journal	April 1994
Green’s function in the color field of a large nucleus McLerran, Larry; Venugopalan, Raju Physical Review D, Vol. 50, Issue 3 https://doi.org/10.1103/PhysRevD.50.2225	journal	August 1994
Deeply virtual Compton scattering Ji, Xiangdong Physical Review D, Vol. 55, Issue 11 https://doi.org/10.1103/PhysRevD.55.7114	journal	June 1997
Nonforward parton distributions Radyushkin, A. V. Physical Review D, Vol. 56, Issue 9 https://doi.org/10.1103/PhysRevD.56.5524	journal	November 1997
One-loop QCD corrections to deeply-virtual Compton scattering: The parton helicity-independent case Ji, Xiangdong; Osborne, Jonathan Physical Review D, Vol. 57, Issue 3 https://doi.org/10.1103/PhysRevD.57.R1337	journal	February 1998
Helicity-flip off-forward parton distributions of the nucleon Hoodbhoy, Pervez; Ji, Xiangdong Physical Review D, Vol. 58, Issue 5 https://doi.org/10.1103/PhysRevD.58.054006	journal	July 1998
One-loop corrections and all order factorization in deeply virtual Compton scattering Ji, Xiangdong; Osborne, Jonathan Physical Review D, Vol. 58, Issue 9 https://doi.org/10.1103/PhysRevD.58.094018	journal	September 1998
Proof of factorization for deeply virtual Compton scattering in QCD Collins, John C.; Freund, Andreas Physical Review D, Vol. 59, Issue 7 https://doi.org/10.1103/PhysRevD.59.074009	journal	February 1999
Next-to-leading order corrections to timelike, spacelike, and double deeply virtual Compton scattering Pire, B.; Szymanowski, L.; Wagner, J. Physical Review D, Vol. 83, Issue 3 https://doi.org/10.1103/PhysRevD.83.034009	journal	February 2011
Timelike and spacelike hard exclusive reactions Müller, D.; Pire, B.; Szymanowski, L. Physical Review D, Vol. 86, Issue 3 https://doi.org/10.1103/PhysRevD.86.031502	journal	August 2012
Gluon tomography from deeply virtual Compton scattering at small x Hatta, Yoshitaka; Xiao, Bo-Wen; Yuan, Feng Physical Review D, Vol. 95, Issue 11 https://doi.org/10.1103/PhysRevD.95.114026	journal	June 2017
The unintegrated gluon distribution from the modified BK equation Kutak, K.; Staśto, A. M. The European Physical Journal C, Vol. 41, Issue 3 https://doi.org/10.1140/epjc/s2005-02223-0	journal	June 2005
The color glass condensate and high energy scattering in QCD Iancu, Edmond; Venugopalan, Raju Quark–Gluon Plasma 3 https://doi.org/10.1142/9789812795533_0005	book	January 2004
Jet structure in heavy ion collisions Blaizot, J. -P.; Mehtar-Tani, Y. International Journal of Modern Physics E, Vol. 24, Issue 11 https://doi.org/10.1142/S021830131530012X	journal	November 2015
The Color Glass Condensate Gelis, Francois; Iancu, Edmond; Jalilian-Marian, Jamal Annual Review of Nuclear and Particle Science, Vol. 60, Issue 1 https://doi.org/10.1146/annurev.nucl.010909.083629	journal	November 2010

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