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Radon Transform and Light-Cone Distributions

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Abstract

The relevance of Radon transform for generalized and transverse momentum dependent parton distributions is discussed. The new application for conditional (fracture) parton distributions and dihadron fragmentation functions is suggested.

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References

  1. Radon, J.: On determination of functions by their integral values along certain multiplicities. Ber. der Sachische Akademie der Wissenschaften Leipzig, Germany, 69, 262–277 (1917)

  2. Teryaev, O.V.: Crossing and Radon tomography for generalized parton distributions. Phys. Lett. B 510, 125 (2001). doi:10.1016/S0370-2693(01)00564-0. arXiv:hep-th/0102303

    Article  ADS  MATH  Google Scholar 

  3. Diehl, M., Gousset, T., Pire, B., Teryaev, O.: Probing partonic structure in \(\gamma ^{*}\gamma \longrightarrow \pi \pi \) near threshold. Phys. Rev. Lett. 81, 1782 (1998). doi:10.1103/PhysRevLett.81.1782. arXiv:hep-th/9805380

  4. Trentadue, L., Veneziano, G.: Fracture functions: an improved description of inclusive hard processes in QCD. Phys. Lett. B 323, 201 (1994). doi:10.1016/0370-2693(94)90292-5

    Article  ADS  Google Scholar 

  5. Grazzini, M., Trentadue, L., Veneziano, G.: Fracture functions from cut vertices. Nucl. Phys. B 519, 394 (1998). doi:10.1016/S0550-3213(97)00840-7. arXiv:hep-th/9709452

    Article  ADS  Google Scholar 

  6. Teryaev, O.V.: Spin dependent, interference and T odd fragmentation and fracture functions. Acta Phys. Polon. B 33, 3749 (2002). arXiv:hep-ph/0211027

  7. Gabdrakhmanov, I.R., Teryaev, O.V.: Analyticity and sum rules for photon GPDs. Phys. Lett. B 716, 417 (2012). doi:10.1016/j.physletb.2012.08.041. arXiv:1204.6471 [hep-ph]

    Article  ADS  Google Scholar 

  8. Gabdrakhmannov, I., Müller, D., Teryaev, O.V.: Radon transform for separate channels. (in preparation)

  9. Teryaev, O.V.: Analytic properties of hard exclusive amplitudes. arXiv:hep-th/0510031

  10. Anikin, I.V., Teryaev, O.V.: Dispersion relations and subtractions in hard exclusive processes. Phys. Rev. D 76, 056007 (2007). doi:10.1103/PhysRevD.76.056007. arXiv:0704.2185 [hep-ph]

    Article  ADS  Google Scholar 

  11. Efremov, A.V., Schweitzer, P., Teryaev, O.V., Zavada, P.: Transverse momentum dependent distribution functions in a covariant parton model approach with quark orbital motion. Phys. Rev. D 80, 014021 (2009). arXiv:0903.3490 [hep-ph]

    Article  ADS  Google Scholar 

  12. Efremov, A.V., Schweitzer, P., Teryaev, O.V., Zavada, P.: The relation between TMDs and PDFs in the covariant parton model approach. Phys. Rev. D 83, 054025 (2011). arXiv:1012.5296 [hep-ph]

    Article  ADS  Google Scholar 

  13. D’Alesio, U., Leader, E., Murgia, F.: On the importance of Lorentz structure in the parton model: target mass corrections, transverse momentum dependence, positivity bounds. Phys. Rev. D 81, 036010 (2010). arXiv:0909.5650 [hep-ph]

    Article  ADS  Google Scholar 

  14. Lorce, C., Pasquini, B.: On the origin of model relations among transverse-momentum dependent parton distributions. Phys. Rev. D 84, 034039 (2011). arXiv:1104.5651 [hep-ph]

    Article  ADS  Google Scholar 

  15. Teryaev, O.: Transverse spin effects and holography. EPJ Web Conf. 85, 02008 (2015). doi:10.1051/epjconf/20158502008

    Article  Google Scholar 

  16. Pasquini, B., Lorce, C.: Wigner distributions in light-front quark models. Few Body Syst. 55, 287 (2014)

    Article  ADS  Google Scholar 

  17. Klimov, A.B., Manko, O.V., Manko, V.I., Smirnov, Y.F., Tolstoy, V.N.: Tomographic representation of spin and quark states. J. Phys. A 35, 6101 (2002). doi:10.1088/0305-4470/35/29/312

    Article  ADS  MathSciNet  MATH  Google Scholar 

  18. Muller, D., Hwang, D.S.: The concept of phenomenological light-front wave functions–Regge improved diquark model predictions. arXiv:1407.1655 [hep-ph]

  19. Maji, T., Mondal, C., Chakrabarti, D., Teryaev, O.V.: Relating transverse structure of various parton distributions. JHEP 1601, 165 (2016). doi:10.1007/JHEP01(2016)165. arXiv:1506.04560 [hep-ph]

    Article  ADS  Google Scholar 

  20. Efremov, A., Radyushkin, A.: On perturbative QCD of hard and soft processes. Mod. Phys. Lett. A 24, 2803 (2009). doi:10.1142/S0217732309001029. arXiv:0911.1195 [hep-ph]

    Article  ADS  MATH  Google Scholar 

  21. Ceccopieri, F.A.: Lambda production in the DIS target fragmentation region. arXiv:1508.07459 [hep-ph]

  22. Solovtsova, O., Sidorov, A.: Polarized nonsinglet \({Delta q}_3\) and nonsinglet fragmentation function \(D^{pi+}_{u_v}\) in the analytic approach to QCD. PoS BaldinISHEPPXXII (2014) 019 arXiv:1411.6975 [hep-ph]

  23. Anselmino, M., Barone, V., Kotzinian, A.: Double hadron lepto-production in the current and target fragmentation region. Phys. Lett. B 706, 46 (2011). doi:10.1016/j.physletb.2011.10.064. arXiv:1109.1132 [hep-ph]

    Article  ADS  Google Scholar 

  24. Hebecker, A., Teubner, T.: Skewed parton distributions and \(F_2^D\) at \(\longrightarrow 1\). Phys. Lett. B 498, 16 (2001). doi:10.1016/S0370-2693(00)01372-1. arXiv:hep-th/0010273

  25. Jaffe, R.L., Jin, X.m, Tang, J.: Interference fragmentation functions and the nucleon’s transversity. Phys. Rev. Lett. 80, 1166 (1998). doi:10.1103/PhysRevLett.80.1166. arXiv:hep-th/9709322

  26. Bacchetta, A., Courtoy, A., Radici, M.: First glances at the transversity parton distribution through dihadron fragmentation functions. Phys. Rev. Lett. 107, 012001 (2011). doi:10.1103/PhysRevLett.107.012001. arXiv:1104.3855 [hep-ph]

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Acknowledgments

I am indebted to Organizers of LC-2015 for warm hospitality in Frascati and to participants for many interesting discussions. This work was partially supported through the RFBR grant No 14-01-00647.

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  1. BLTP, JINR and International University, Dubna, Russia, 141980

    O. V. Teryaev

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  1. O. V. Teryaev
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Teryaev, O.V. Radon Transform and Light-Cone Distributions. Few-Body Syst 57, 627–631 (2016). https://doi.org/10.1007/s00601-016-1104-2

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