- Letter
- Open Access
Demonstration of collinear factorization breaking due to collinear-to-soft Glauber exchanges for a exclusive process at leading twist
Phys. Rev. D 111, L091502 – Published 9 May, 2025
DOI: https://doi.org/10.1103/PhysRevD.111.L091502
Abstract
We exhibit an exclusive process, namely the photoproduction of a pair with large invariant mass, which violates collinear factorization. We explicitly demonstrate that this is due to the fact that there exists diagrams with gluon exchange in channel, contributing at the leading power, for which Glauber gluons are trapped. This is caused by the pinching of the contour integration of both the plus and minus light-cone components of the Glauber gluon momentum. We argue that this leads to the observed “end pointlike” divergence of the convolution integral at leading order and leading power when collinear factorization is naïvely assumed.
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References (21)
- M. El Beiyad, B. Pire, M. Segond, L. Szymanowski, and S. Wallon, Photoproduction of a pair with a large invariant mass and transversity generalized parton distribution, Phys. Lett. B 688, 154 (2010).
- R. Boussarie, B. Pire, L. Szymanowski, and S. Wallon, Exclusive photoproduction of a pair with a large invariant mass, J. High Energy Phys. 02 (2017) 054.
- A. Pedrak, B. Pire, L. Szymanowski, and J. Wagner, Hard photoproduction of a diphoton with a large invariant mass, Phys. Rev. D 96, 074008 (2017).
- A. Pedrak, B. Pire, L. Szymanowski, and J. Wagner, Electroproduction of a large invariant mass photon pair, Phys. Rev. D 101, 114027 (2020).
- O. Grocholski, B. Pire, P. Sznajder, L. Szymanowski, and J. Wagner, Collinear factorization of diphoton photoproduction at next to leading order, Phys. Rev. D 104, 114006 (2021).
- O. Grocholski, B. Pire, P. Sznajder, L. Szymanowski, and J. Wagner, Phenomenology of diphoton photoproduction at next-to-leading order, Phys. Rev. D 105, 094025 (2022).
- G. Duplančić, K. Passek-Kumerički, B. Pire, L. Szymanowski, and S. Wallon, Probing axial quark generalized parton distributions through exclusive photoproduction of a pair with a large invariant mass, J. High Energy Phys. 11 (2018) 179.
- G. Duplančić, S. Nabeebaccus, K. Passek-Kumerički, B. Pire, L. Szymanowski, and S. Wallon, Accessing chiral-even quark generalised parton distributions in the exclusive photoproduction of a pair with large invariant mass in both fixed-target and collider experiments, J. High Energy Phys. 03 (2023) 241.
- G. Duplančić, S. Nabeebaccus, K. Passek-Kumerički, B. Pire, L. Szymanowski, and S. Wallon, Probing chiral-even and chiral-odd leading twist quark generalized parton distributions through the exclusive photoproduction of a pair, Phys. Rev. D 107, 094023 (2023).
- J.-W. Qiu and Z. Yu, Extraction of the -dependence of generalized parton distributions from exclusive photoproduction, Phys. Rev. Lett. 131, 161902 (2023).
- J.-W. Qiu and Z. Yu, Exclusive production of a pair of high transverse momentum photons in pion-nucleon collisions for extracting generalized parton distributions, J. High Energy Phys. 08 (2022) 103.
- J.-W. Qiu and Z. Yu, Single diffractive hard exclusive processes for the study of generalized parton distributions, Phys. Rev. D 107, 014007 (2023).
- J. C. Collins and A. Freund, Proof of factorization for deeply virtual Compton scattering in QCD, Phys. Rev. D 59, 074009 (1999).
- L. D. Landau, On analytic properties of vertex parts in quantum field theory, Nucl. Phys. 13, 181 (1959).
- S. B. Libby and G. F. Sterman, Jet and lepton pair production in high-energy lepton-hadron and hadron-hadron scattering, Phys. Rev. D 18, 3252 (1978).
- G. F. Sterman, Mass divergences in annihilation processes. 1. Origin and nature of divergences in cut vacuum polarization diagrams, Phys. Rev. D 17, 2773 (1978).
- G. F. Sterman, Mass divergences in annihilation processes. 2. Cancellation of divergences in cut vacuum polarization diagrams, Phys. Rev. D 17, 2789 (1978).
- J. Collins, Foundations of Perturbative QCD (Cambridge University Press, Cambridge, England, 2013), Vol. 32, 10.1017/9781009401845.
- S. Nabeebaccus, J. Schoenleber, L. Szymanowski, and S. Wallon, Breakdown of collinear factorization in the exclusive photoproduction of a pair with large invariant mass, Phys. Rev. D 111, 034040 (2025).
- J. C. Collins, Proof of factorization for diffractive hard scattering, Phys. Rev. D 57, 3051 (1998); 61, 019902(E) (2000).
- T. Becher, P. Hager, S. Jaskiewicz, M. Neubert, and D. Schwienbacher, Factorization restoration through Glauber gluons, Phys. Rev. Lett. 134, 061901 (2025).