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Advances in Meson Electroproduction and Drell-Yan Scattering: Finite Subtractions and GPD Analysis

This document discusses key developments in meson electroproduction and Drell-Yan scattering, focusing on finite subtractions and their effects on generalized parton distributions (GPDs). It covers essential concepts such as factorization, the relationship between GPDs and double distributions (DDs), holographic sum rules, and qualitative analyses of model corrections in ρ° cross sections. Insights from leading studies and theoretical frameworks are also highlighted, including Radon transforms and D-term implications, contributing to the understanding of the underlying physics in these processes.

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Advances in Meson Electroproduction and Drell-Yan Scattering: Finite Subtractions and GPD Analysis

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  1. Drell-Yan Scattering and the Structure of Hadrons – Trento – 21-25 May 2012 Finite Subtractions for Meson Electroproductionand Exclusive Drell-Yan O.V. Teryaev, I.R. Gabdrakhmanov Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research

  2. Outline • Introduction: factorization, GPD, DD • Relation between GPD and DD • Holographic sum rule • Radon transform • LO photon GPD investigation • Qualitative analysis of model corrections to ρ° cross section.

  3. Factorization in perturbative QCD

  4. Collinear GPDs

  5. Relation between GPD and DD

  6. Forms of Double Distributions

  7. D-term What means: Which is particular case for: M. V. Polyakov and C. Weiss, Phys.Rev. D60, 114017 (1999)

  8. Holographic sum rule The crucial part of DVCS and proton GPD part of the meson electroproduction O. Teryaev, arXiv:hep-ph/0510031 (2005). I. Anikin and O. Teryaev, Phys.Rev. D76, 056007 (2007)

  9. Radon transform

  10. Radon transform O.V. Teryaev. Crossing and Radon tomography for generalized parton distributions. Phys.\ Lett.\ B {\bf 510} (2001) 125 [http://arxiv.org/abs/hep-ph/0102303v2]

  11. Generalized Distribution Amplitudes Expression of GPD in the unphysical region |ξ |>1 via GDA was derived in the paper below *O.V.Teryaev. Crossing and Radon tomography for generalized parton distributions,'' Phys.\ Lett.\ B {\bf 510} (2001) 125 [http://arxiv.org/abs/hep-ph/0102303v2]

  12. Photon GPDs

  13. Photon GDAs

  14. Extension of photon GPD

  15. Holographic sum rule applied to photon GPD

  16. Deriving photon Double Distribution D-term can be obtained from GDA:

  17. Gauge transformations of DD Double distributions defined through Fourier image of matrix element. So one can make integration by parts and obtain

  18. Gauge transformations of photon DD

  19. ρ° meson electroproduction Exclusive ρ° meson electroproduction Drell-Yann ρ° p scattering

  20. GK GPD parametrization GPDs are constructed from standard DD anzatz: S.V.Goloskokov, Nucl.Phys.Proc.Suppl. 219-220 (2011) 185-192 S.V. Goloskokov, P. Kroll, Euro. Phys. J. C50, (2007) 829-842. S.V. Goloskokov, P. Kroll, Euro. Phys. J. C53, (2008) 367-384

  21. GK GPD parametrization S.V.Goloskokov, Nucl.Phys.Proc.Suppl. 219-220 (2011) 185-192 S.V. Goloskokov, P. Kroll, Euro. Phys. J. C50, (2007) 829-842. S.V. Goloskokov, P. Kroll, Euro. Phys. J. C53, (2008) 367-384

  22. Subtraction corrections Standard form D-term with the use of the results of the chiral quark-soliton model : For Nf=5 gives constant subtraction : M. V. Polyakov and C. Weiss, Phys. Rev. D 60, 114017 (1999) V. Y. Petrov, P. V. Pobylitsa, M. V. Polyakov, I. Bornig,K.Goekeand C. Weiss, Phys.Rev. D 57, 4325 (1998) Guidal-Morrow generalization of the D-term: Where : M. Guidal, S. Morrow.arXiv:0711.3743 [hep-ph] (Morrow, S.A. et al.) Eur.Phys.J. A39 (2009) 5-31 . arXiv:0807.3834 [hep-ex]

  23. Guidal-Morrow corrections on VGG model (Morrow, S.A. et al.) Eur.Phys.J. A39 (2009) 5-31 . arXiv:0807.3834 [hep-ex]

  24. Qualitative estimations on d-term like corrections on GK model In assumption of small kT dependence of cross sections ratio:

  25. Subtraction corrections CORNEL Solid black – original GK Solid red – GK with CQM D-term subtraction Dashed blue – GK with Guidal –Morrow D-term CLAS HERMES E665 ZEUS H1

  26. Summary: • Photon GPDs was extended to the full definition area • Holographic sum rule was checked for photon GPD, subtraction constants were derived • Photon DDs was derived using inverse Radon transform • Preliminary assumptions were made for longitudinal ρ° electroproductioncross section for GK GPD model • D-term like contributions can explain cross section grow at low W (further calculations are needed)

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