Abstract
Using the recent results on the contributions of descendants of the leading twist operators to the operator product expansion of two electromagnetic currents we derive explicit expressions for the kinematic finite-t and target mass corrections to the DVCS helicity amplitudes to the 1/Q4 power accuracy. The cancellation of IR divergences for kinematic corrections is demonstrated to all powers in the leading order of perturbation theory. We also argue that target mass corrections in the coherent DVCS from nuclei are small and do not invalidate the factorization theorem.
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R. Abdul Khalek et al., Science Requirements and Detector Concepts for the Electron-Ion Collider: EIC Yellow Report, Nucl. Phys. A 1026 (2022) 122447 [arXiv:2103.05419] [INSPIRE].
R. Abdul Khalek et al., Snowmass 2021 White Paper: Electron Ion Collider for High Energy Physics, Seattle U.S.A., July 17–26 2022 arXiv:2203.13199 [INSPIRE].
D. Müller, D. Robaschik, B. Geyer, F.M. Dittes and J. Hořejši, Wave functions, evolution equations and evolution kernels from light ray operators of QCD, Fortsch. Phys. 42 (1994) 101 [hep-ph/9812448] [INSPIRE].
X.-D. Ji, Deeply virtual Compton scattering, Phys. Rev. D 55 (1997) 7114 [hep-ph/9609381] [INSPIRE].
A.V. Radyushkin, Nonforward parton distributions, Phys. Rev. D 56 (1997) 5524 [hep-ph/9704207] [INSPIRE].
X.-D. Ji and J. Osborne, One loop corrections and all order factorization in deeply virtual Compton scattering, Phys. Rev. D 58 (1998) 094018 [hep-ph/9801260] [INSPIRE].
A.V. Belitsky, A. Freund and D. Mueller, Evolution kernels of skewed parton distributions: Method and two loop results, Nucl. Phys. B 574 (2000) 347 [hep-ph/9912379] [INSPIRE].
A.V. Belitsky and D. Mueller, Broken conformal invariance and spectrum of anomalous dimensions in QCD, Nucl. Phys. B 537 (1999) 397 [hep-ph/9804379] [INSPIRE].
J.D. Noritzsch, Heavy quarks in deeply virtual Compton scattering, Phys. Rev. D 69 (2004) 094016 [hep-ph/0312137] [INSPIRE].
K. Kumericki, D. Mueller, K. Passek-Kumericki and A. Schafer, Deeply virtual Compton scattering beyond next-to-leading order: the flavor singlet case, Phys. Lett. B 648 (2007) 186 [hep-ph/0605237] [INSPIRE].
K. Kumericki, D. Mueller and K. Passek-Kumericki, Towards a fitting procedure for deeply virtual Compton scattering at next-to-leading order and beyond, Nucl. Phys. B 794 (2008) 244 [hep-ph/0703179] [INSPIRE].
V.M. Braun, A.N. Manashov, S. Moch and M. Strohmaier, Three-loop evolution equation for flavor-nonsinglet operators in off-forward kinematics, JHEP 06 (2017) 037 [arXiv:1703.09532] [INSPIRE].
V.M. Braun, A.N. Manashov, S. Moch and J. Schoenleber, Two-loop coefficient function for DVCS: vector contributions, JHEP 09 (2020) 117 [arXiv:2007.06348] [INSPIRE].
V.M. Braun, A.N. Manashov, S. Moch and J. Schoenleber, Axial-vector contributions in two-photon reactions: Pion transition form factor and deeply-virtual Compton scattering at NNLO in QCD, Phys. Rev. D 104 (2021) 094007 [arXiv:2106.01437] [INSPIRE].
J. Gao, T. Huber, Y. Ji and Y.-M. Wang, Next-to-Next-to-Leading-Order QCD Prediction for the Photon-Pion Form Factor, Phys. Rev. Lett. 128 (2022) 062003 [arXiv:2106.01390] [INSPIRE].
V.M. Braun, K.G. Chetyrkin and A.N. Manashov, NNLO anomalous dimension matrix for twist-two flavor-singlet operators, Phys. Lett. B 834 (2022) 137409 [arXiv:2205.08228] [INSPIRE].
S. Van Thurenhout and S.-O. Moch, Off-forward anomalous dimensions in the leading-nf limit, PoS LL2022 (2022) 076 [arXiv:2206.04517] [INSPIRE].
V.M. Braun, Y. Ji and J. Schoenleber, Deeply Virtual Compton Scattering at Next-to-Next-to-Leading Order, Phys. Rev. Lett. 129 (2022) 172001 [arXiv:2207.06818] [INSPIRE].
CLAS collaboration, First Exclusive Measurement of Deeply Virtual Compton Scattering off 4He: Toward the 3D Tomography of Nuclei, Phys. Rev. Lett. 119 (2017) 202004 [arXiv:1707.03361] [INSPIRE].
CLAS collaboration, Measurement of deeply virtual Compton scattering off 4He with the CEBAF Large Acceptance Spectrometer at Jefferson Lab, Phys. Rev. C 104 (2021) 025203 [arXiv:2102.07419] [INSPIRE].
V.M. Braun, A.N. Manashov, D. Mueller and B. Pirnay, Resolving kinematic ambiguities in QCD predictions for Deeply Virtual Compton Scattering, PoS DIS2014 (2014) 225 [arXiv:1407.0815] [INSPIRE].
V.M. Braun, A.N. Manashov, D. Müller and B.M. Pirnay, Deeply Virtual Compton Scattering to the twist-four accuracy: Impact of finite-t and target mass corrections, Phys. Rev. D 89 (2014) 074022 [arXiv:1401.7621] [INSPIRE].
Y. Guo, X. Ji and K. Shiells, Higher-order kinematical effects in deeply virtual Compton scattering, JHEP 12 (2021) 103 [arXiv:2109.10373] [INSPIRE].
Jefferson Lab Hall A collaboration, E00-110 experiment at Jefferson Lab Hall A: Deeply virtual Compton scattering off the proton at 6 GeV, Phys. Rev. C 92 (2015) 055202 [arXiv:1504.05453] [INSPIRE].
M. Defurne et al., A glimpse of gluons through deeply virtual compton scattering on the proton, Nature Commun. 8 (2017) 1408 [arXiv:1703.09442] [INSPIRE].
V.M. Braun, A.N. Manashov and B. Pirnay, Finite-t and target mass corrections to DVCS on a scalar target, Phys. Rev. D 86 (2012) 014003 [arXiv:1205.3332] [INSPIRE].
Jefferson Lab Hall A collaboration, Deeply Virtual Compton Scattering Cross Section at High Bjorken xB, Phys. Rev. Lett. 128 (2022) 252002 [arXiv:2201.03714] [INSPIRE].
V.M. Braun and A.N. Manashov, Kinematic power corrections in off-forward hard reactions, Phys. Rev. Lett. 107 (2011) 202001 [arXiv:1108.2394] [INSPIRE].
V.M. Braun and A.N. Manashov, Operator product expansion in QCD in off-forward kinematics: Separation of kinematic and dynamical contributions, JHEP 01 (2012) 085 [arXiv:1111.6765] [INSPIRE].
V.M. Braun, A.N. Manashov and B. Pirnay, Finite-t and target mass corrections to deeply virtual Compton scattering, Phys. Rev. Lett. 109 (2012) 242001 [arXiv:1209.2559] [INSPIRE].
V.M. Braun, Y. Ji and A.N. Manashov, Two-photon processes in conformal QCD: resummation of the descendants of leading-twist operators, JHEP 03 (2021) 051 [arXiv:2011.04533] [INSPIRE].
S. Ferrara, A.F. Grillo and R. Gatto, Manifestly conformal covariant operator-product expansion, Lett. Nuovo Cim. 2S2 (1971) 1363 [INSPIRE].
S. Ferrara, R. Gatto and A.F. Grillo, Conformal invariance on the light cone and canonical dimensions, Nucl. Phys. B 34 (1971) 349 [INSPIRE].
S. Ferrara, A.F. Grillo and R. Gatto, Tensor representations of conformal algebra and conformally covariant operator product expansion, Annals Phys. 76 (1973) 161 [INSPIRE].
K.G. Wilson and J.B. Kogut, The Renormalization group and the epsilon expansion, Phys. Rept. 12 (1974) 75 [INSPIRE].
V.M. Braun, A.N. Manashov, S.O. Moch and M. Strohmaier, Conformal symmetry of QCD in d-dimensions, Phys. Lett. B 793 (2019) 78 [arXiv:1810.04993] [INSPIRE].
C. Lorcé, B. Pire and Q.-T. Song, Kinematical higher-twist corrections in γ*γ → \( M\overline{M} \), Phys. Rev. D 106 (2022) 094030 [arXiv:2209.11140] [INSPIRE].
I.I. Balitsky and V.M. Braun, Evolution Equations for QCD String Operators, Nucl. Phys. B 311 (1989) 541 [INSPIRE].
I.I. Balitsky and V.M. Braun, The Nonlocal operator expansion for inclusive particle production in e+e− annihilation, Nucl. Phys. B 361 (1991) 93 [INSPIRE].
V.M. Braun, G.P. Korchemsky and D. Müller, The Uses of conformal symmetry in QCD, Prog. Part. Nucl. Phys. 51 (2003) 311 [hep-ph/0306057] [INSPIRE].
I.M. Gel’fand, M.I. Graev and N.Y. Vilenkin, Generalized functions. Vol. 5, AMS Chelsea Publishing, Providence, U.S.A. (2016) [DOI].
V.M. Braun, A.N. Manashov and J. Rohrwild, Renormalization of Twist-Four Operators in QCD, Nucl. Phys. B 826 (2010) 235 [arXiv:0908.1684] [INSPIRE].
Y.L. Dokshitzer, G. Marchesini and G.P. Salam, Revisiting parton evolution and the large-x limit, Phys. Lett. B 634 (2006) 504 [hep-ph/0511302] [INSPIRE].
B. Basso and G.P. Korchemsky, Anomalous dimensions of high-spin operators beyond the leading order, Nucl. Phys. B 775 (2007) 1 [hep-th/0612247] [INSPIRE].
L.F. Alday, A. Bissi and T. Lukowski, Large spin systematics in CFT, JHEP 11 (2015) 101 [arXiv:1502.07707] [INSPIRE].
L.F. Alday and A. Zhiboedov, An Algebraic Approach to the Analytic Bootstrap, JHEP 04 (2017) 157 [arXiv:1510.08091] [INSPIRE].
A.V. Belitsky, D. Müller and Y. Ji, Compton scattering: from deeply virtual to quasi-real, Nucl. Phys. B 878 (2014) 214 [arXiv:1212.6674] [INSPIRE].
A.V. Radyushkin, Symmetries and structure of skewed and double distributions, Phys. Lett. B 449 (1999) 81 [hep-ph/9810466] [INSPIRE].
O.V. Teryaev, Crossing and radon tomography for generalized parton distributions, Phys. Lett. B 510 (2001) 125 [hep-ph/0102303] [INSPIRE].
A.V. Belitsky and D. Mueller, Exclusive electroproduction revisited: treating kinematical effects, Phys. Rev. D 82 (2010) 074010 [arXiv:1005.5209] [INSPIRE].
A.V. Radyushkin, Generalized Parton Distributions and Their Singularities, Phys. Rev. D 83 (2011) 076006 [arXiv:1101.2165] [INSPIRE].
S.V. Goloskokov and P. Kroll, The Longitudinal cross-section of vector meson electroproduction, Eur. Phys. J. C 50 (2007) 829 [hep-ph/0611290] [INSPIRE].
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Braun, V.M., Ji, Y. & Manashov, A.N. Next-to-leading-power kinematic corrections to DVCS: a scalar target. J. High Energ. Phys. 2023, 78 (2023). https://doi.org/10.1007/JHEP01(2023)078
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DOI: https://doi.org/10.1007/JHEP01(2023)078