All order factorization for virtual Compton scattering at next-to-leading power

Schoenleber, Jakob; Szafron, Robert

doi:10.1007/jhep11(2024)031

All order factorization for virtual Compton scattering at next-to-leading power

Journal Article · Wed Nov 06 00:00:00 EST 2024 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep11(2024)031· OSTI ID:2478784

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Brookhaven National Laboratory (BNL), Upton, NY (United States). RIKEN Research Center
Brookhaven National Laboratory (BNL), Upton, NY (United States)

We discuss all-order factorization for the virtual Compton process at next-to leading power (NLP) in the Λ_QCD/Q and $$\sqrt{-t}$$/Q expansion (twist-3), both in the double deeply-virtual case and the single-deeply-virtual case. We use the soft-collinear efective theory (SCET) as the main theoretical tool. We conclude that collinear factorization holds in the double-deeply virtual case, where both photons are far of-shell. The agreement is found with the known results for the hard matching coefcients at leading order $$α^0_s$$, and we can therefore connect the traditional approach with SCET. In the single-deeply-virtual case, commonly called deeply virtual Compton scattering (DVCS), the contribution of non-target collinear regions complicates the factorization. These include momentum modes collinear to the real photon and (ultra)soft interactions between the photon-collinear and target-collinear modes. However, such contributions appear only for the transversely polarized virtual photon at the NLP accuracy and in fact it is the only NLP ~ (Λ_QCD/Q)¹ ~ ( $$\sqrt{-t}$$/Q)¹ contribution in that case. We therefore conclude that the DVCS amplitude for a longitudinally polarized virtual photon, where the leading power ~ (Λ_QCD/Q)⁰ ~ ($$\sqrt{-t}$$/Q)⁰ contribution vanishes, is free of non-target collinear contributions and the collinear factorization in terms of twist-3 GPDs holds in that case as well.

View Accepted Manuscript (DOE)

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

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

Grant/Contract Number:: SC0012704

OSTI ID:: 2478784

Report Number(s):: BNL--226371-2024-JAAM

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 11 Vol. 2024; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

References (67)

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
Factorization at subleading power and endpoint divergences in h → γγ decay. Part II. Renormalization and scale evolution Liu, Ze Long; Mecaj, Bianka; Neubert, Matthias Journal of High Energy Physics, Vol. 2021, Issue 1 https://doi.org/10.1007/JHEP01(2021)077	journal	January 2021
Next-to-leading-power kinematic corrections to DVCS: a scalar target Braun, V. M.; Ji, Yao; Manashov, A. N. Journal of High Energy Physics, Vol. 2023, Issue 1 https://doi.org/10.1007/JHEP01(2023)078	journal	January 2023
Two-loop coefficient functions in deeply virtual Compton scattering: flavor-singlet axial-vector and transversity case Ji, Yao; Schoenleber, J. Journal of High Energy Physics, Vol. 2024, Issue 1 https://doi.org/10.1007/JHEP01(2024)053	journal	January 2024
Resummation of threshold logarithms in deeply-virtual Compton scattering Schoenleber, J. Journal of High Energy Physics, Vol. 2023, Issue 2 https://doi.org/10.1007/JHEP02(2023)207	journal	February 2023
Anomalous dimension of subleading-power N-jet operators Beneke, Martin; Garny, Mathias; Szafron, Robert Journal of High Energy Physics, Vol. 2018, Issue 3 https://doi.org/10.1007/JHEP03(2018)001	journal	March 2018
Factorization at subleading power and endpoint-divergent convolutions in h → γγ decay Liu, Ze Long; Neubert, Matthias Journal of High Energy Physics, Vol. 2020, Issue 4 https://doi.org/10.1007/JHEP04(2020)033	journal	April 2020
Zero-bin subtraction and the qT spectrum beyond leading power Ferrera, Giancarlo; Ju, Wan-Li; Schönherr, Marek Journal of High Energy Physics, Vol. 2024, Issue 4 https://doi.org/10.1007/JHEP04(2024)005	journal	April 2024
Calculation of the quark and gluon form factors to three loops in QCD Gehrmann, T.; Glover, E. W. N.; Huber, T. Journal of High Energy Physics, Vol. 2010, Issue 6 https://doi.org/10.1007/JHEP06(2010)094	journal	June 2010
Two-loop radiative jet function for exclusive B-meson and Higgs decays Liu, Ze Long; Neubert, Matthias Journal of High Energy Physics, Vol. 2020, Issue 6 https://doi.org/10.1007/JHEP06(2020)060	journal	June 2020
Factorization at next-to-leading power and endpoint divergences in gg → h production Liu, Ze Long; Neubert, Matthias; Schnubel, Marvin Journal of High Energy Physics, Vol. 2023, Issue 6 https://doi.org/10.1007/JHEP06(2023)183	journal	June 2023
Next-to-leading power endpoint factorization and resummation for off-diagonal “gluon” thrust Beneke, M.; Garny, M.; Jaskiewicz, S. Journal of High Energy Physics, Vol. 2022, Issue 7 https://doi.org/10.1007/JHEP07(2022)144	journal	July 2022
An effective field theory for forward scattering and factorization violation Rothstein, Ira Z.; Stewart, Iain W. Journal of High Energy Physics, Vol. 2016, Issue 8 https://doi.org/10.1007/JHEP08(2016)025	journal	August 2016
Violation of the Kluberg-Stern-Zuber theorem in SCET Beneke, Martin; Garny, Mathias; Szafron, Robert Journal of High Energy Physics, Vol. 2019, Issue 9 https://doi.org/10.1007/JHEP09(2019)101	journal	September 2019
Muon-electron backward scattering: a prime example for endpoint singularities in SCET Bell, Guido; Böer, Philipp; Feldmann, Thorsten Journal of High Energy Physics, Vol. 2022, Issue 9 https://doi.org/10.1007/JHEP09(2022)183	journal	September 2022
Twist analysis of the spin-orbit correlation in QCD Hatta, Yoshitaka; Schoenleber, Jakob Journal of High Energy Physics, Vol. 2024, Issue 9 https://doi.org/10.1007/JHEP09(2024)154	journal	September 2024
Identifying regions in wide-angle scattering via graph-theoretical approaches Ma, Yao Journal of High Energy Physics, Vol. 2024, Issue 9 https://doi.org/10.1007/JHEP09(2024)197	journal	September 2024
Twist analysis of the nucleon spin in QCD Hatta, Yoshitaka; Yoshida, Shinsuke Journal of High Energy Physics, Vol. 2012, Issue 10 https://doi.org/10.1007/JHEP10(2012)080	journal	October 2012
Power-enhanced leading-logarithmic QED corrections to Bq→ μ+μ− Beneke, Martin; Bobeth, Christoph; Szafron, Robert Journal of High Energy Physics, Vol. 2019, Issue 10 https://doi.org/10.1007/JHEP10(2019)232	journal	October 2019
Large-x resummation of off-diagonal deep-inelastic parton scattering from d-dimensional refactorization Beneke, Martin; Garny, Mathias; Jaskiewicz, Sebastian Journal of High Energy Physics, Vol. 2020, Issue 10 https://doi.org/10.1007/JHEP10(2020)196	journal	October 2020
Anomalous dimension of subleading-power N-jet operators. Part II Beneke, Martin; Garny, Mathias; Szafron, Robert Journal of High Energy Physics, Vol. 2018, Issue 11 https://doi.org/10.1007/JHEP11(2018)112	journal	November 2018
Foundation and generalization of the expansion by regions Jantzen, Bernd Journal of High Energy Physics, Vol. 2011, Issue 12 https://doi.org/10.1007/JHEP12(2011)076	journal	December 2011
Parton distribution functions for twist 4 Jaffe, R. L. Nuclear Physics B, Vol. 229, Issue 1 https://doi.org/10.1016/0550-3213(83)90361-9	journal	December 1983
Deeply virtual Compton scattering amplitude in the parton model Penttinen, M.; Polyakov, M. V.; Shuvaev, A. G. Physics Letters B, Vol. 491, Issue 1-2 https://doi.org/10.1016/S0370-2693(00)01035-2	journal	October 2000
DVCS amplitude with kinematical twist-3 terms Radyushkin, A. V.; Weiss, C. Physics Letters B, Vol. 493, Issue 3-4 https://doi.org/10.1016/S0370-2693(00)01155-2	journal	November 2000
Invariant operators in collinear effective theory Bauer, Christian W.; Stewart, Iain W. Physics Letters B, Vol. 516, Issue 1-2 https://doi.org/10.1016/S0370-2693(01)00902-9	journal	September 2001
Reparameterization invariance for collinear operators Manohar, Aneesh V.; Mehen, Thomas; Pirjol, Dan Physics Letters B, Vol. 539, Issue 1-2 https://doi.org/10.1016/S0370-2693(02)02029-4	journal	July 2002
Multipole-expanded soft-collinear effective theory with non-Abelian gauge symmetry Beneke, M.; Feldmann, Th. Physics Letters B, Vol. 553, Issue 3-4 https://doi.org/10.1016/S0370-2693(02)03204-5	journal	February 2003
Time ordering in off-diagonal parton distributions Diehl, Markus; Gousset, Thierry Physics Letters B, Vol. 428, Issue 3-4 https://doi.org/10.1016/S0370-2693(98)00439-0	journal	June 1998
Twist-three effects in two-photon processes Belitsky, A. V.; Müller, D. Nuclear Physics B, Vol. 589, Issue 3 https://doi.org/10.1016/S0550-3213(00)00542-3	journal	November 2000
DVCS on the nucleon to the twist-3 accuracy Kivel, N.; Polyakov, M. V. Nuclear Physics B, Vol. 600, Issue 2 https://doi.org/10.1016/S0550-3213(01)00048-7	journal	April 2001
Towards the theory of coherent hard dijet production on hadrons and nuclei Braun, V. M.; Ivanov, D. Yu.; Schäfer, A. Nuclear Physics B, Vol. 638, Issue 1-2 https://doi.org/10.1016/S0550-3213(02)00479-0	journal	August 2002
Soft-collinear effective theory and heavy-to-light currents beyond leading power Beneke, M.; Chapovsky, A. P.; Diehl, M. Nuclear Physics B, Vol. 643, Issue 1-3 https://doi.org/10.1016/S0550-3213(02)00687-9	journal	November 2002
Asymptotic expansion of Feynman integrals near threshold Beneke, M.; Smirnov, V. A. Nuclear Physics B, Vol. 522, Issue 1-2 https://doi.org/10.1016/S0550-3213(98)00138-2	journal	June 1998
Science Requirements and Detector Concepts for the Electron-Ion Collider Abdul Khalek, R.; Accardi, A.; Adam, J. Nuclear Physics A, Vol. 1026 https://doi.org/10.1016/j.nuclphysa.2022.122447	journal	October 2022
NLO corrections to the twist-3 amplitude in DVCS on a nucleon in the Wandzura–Wilczek approximation: quark case Kivel, N.; Mankiewicz, L. Nuclear Physics B, Vol. 672, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2003.08.029	journal	November 2003
Refactorisation in subleading B¯→Xsγ Hurth, Tobias; Szafron, Robert Nuclear Physics B, Vol. 991 https://doi.org/10.1016/j.nuclphysb.2023.116200	journal	June 2023
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
Foundations of Perturbative QCD Collins, John Cambridge Monographs on Particle Physics, Nuclear Physics and Cosmology https://doi.org/10.1017/9781009401845	journal	January 2023
Non-factorizable contributions to deep inelastic scattering at large x Pecjak, Ben D. Journal of High Energy Physics, Vol. 2005, Issue 10 https://doi.org/10.1088/1126-6708/2005/10/040	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
Factorization at subleading power, Sudakov resummation, and endpoint divergences in soft-collinear effective theory Liu, Ze Long; Mecaj, Bianka; Neubert, Matthias Physical Review D, Vol. 104, Issue 1 https://doi.org/10.1103/PhysRevD.104.014004	journal	July 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
Contribution of the electromagnetic dipole operator O7 to the B¯s→μ+μ− decay amplitude Feldmann, Thorsten; Gubernari, Nico; Huber, Tobias Physical Review D, Vol. 107, Issue 1 https://doi.org/10.1103/PhysRevD.107.013007	journal	January 2023
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
Structure-dependent QED effects in exclusive B decays at subleading power Cornella, Claudia; König, Matthias; Neubert, Matthias Physical Review D, Vol. 108, Issue 3 https://doi.org/10.1103/PhysRevD.108.L031502	journal	August 2023
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 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
Gauge invariance of the deeply virtual Compton scattering amplitude Anikin, I. V.; Pire, B.; Teryaev, O. V. Physical Review D, Vol. 62, Issue 7 https://doi.org/10.1103/PhysRevD.62.071501	journal	August 2000
An effective field theory for collinear and soft gluons: Heavy to light decays Bauer, Christian W.; Fleming, Sean; Pirjol, Dan Physical Review D, Vol. 63, Issue 11 https://doi.org/10.1103/PhysRevD.63.114020	journal	May 2001
Soft-collinear factorization in effective field theory Bauer, Christian W.; Pirjol, Dan; Stewart, Iain W. Physical Review D, Vol. 65, Issue 5 https://doi.org/10.1103/PhysRevD.65.054022	journal	February 2002
Collinear effective theory at subleading order and its application to heavy-light currents Chay, Junegone; Kim, Chul Physical Review D, Vol. 65, Issue 11 https://doi.org/10.1103/PhysRevD.65.114016	journal	June 2002
Hard scattering factorization from effective field theory Bauer, Christian W.; Fleming, Sean; Pirjol, Dan Physical Review D, Vol. 66, Issue 1 https://doi.org/10.1103/PhysRevD.66.014017	journal	July 2002
The zero-bin and mode factorization in quantum field theory Manohar, Aneesh V.; Stewart, Iain W. Physical Review D, Vol. 76, Issue 7 https://doi.org/10.1103/PhysRevD.76.074002	journal	October 2007
Reparametrization invariant collinear operators Marcantonini, Claudio; Stewart, Iain W. Physical Review D, Vol. 79, Issue 6 https://doi.org/10.1103/PhysRevD.79.065028	journal	March 2009
Light cone sum rules for the π 0 γ * γ form factor revisited Agaev, S. S.; Braun, V. M.; Offen, N. Physical Review D, Vol. 83, Issue 5 https://doi.org/10.1103/PhysRevD.83.054020	journal	March 2011
Twist-3 generalized parton distributions in deeply-virtual Compton scattering Aslan, Fatma; Burkardt, Matthias; Lorcé, Cédric Physical Review D, Vol. 98, Issue 1 https://doi.org/10.1103/PhysRevD.98.014038	journal	July 2018
Quark and Gluon Form Factors to Three Loops Baikov, P. A.; Chetyrkin, K. G.; Smirnov, A. V. Physical Review Letters, Vol. 102, Issue 21 https://doi.org/10.1103/PhysRevLett.102.212002	journal	May 2009
Finite- t and Target-Mass Corrections to Deeply Virtual Compton Scattering Braun, V. M.; Manashov, A. N.; Pirnay, B. Physical Review Letters, Vol. 109, Issue 24 https://doi.org/10.1103/PhysRevLett.109.242001	journal	December 2012
Enhanced Electromagnetic Corrections to the Rare Decay B s , d → μ + μ − Beneke, Martin; Bobeth, Christoph; Szafron, Robert Physical Review Letters, Vol. 120, Issue 1 https://doi.org/10.1103/PhysRevLett.120.011801	journal	January 2018
Deeply Virtual Compton Scattering at Next-to-Next-to-Leading Order Braun, V. M.; Ji, Yao; Schoenleber, Jakob Physical Review Letters, Vol. 129, Issue 17 https://doi.org/10.1103/PhysRevLett.129.172001	journal	October 2022
Gauge-Invariant Decomposition of Nucleon Spin Ji, Xiangdong Physical Review Letters, Vol. 78, Issue 4 https://doi.org/10.1103/PhysRevLett.78.610	journal	January 1997
Impact Parameter Space Interpretation for Generalized Parton Distributions Burkardt, Matthias International Journal of Modern Physics A, Vol. 18, Issue 02 https://doi.org/10.1142/S0217751X03012370	journal	January 2003

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