Publication: Renormalization scale-fixing for complex scattering amplitudes
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2006-06
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Brodsky, S. J
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Springer
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Abstract
We show how to fix the renormalization scale for hard scattering exclusive processes such as deeply virtual meson electroproduction by applying the BLM prescription to the imaginary part of the scattering amplitude and employing a fixed-t dispersion relation to obtain the scale fixed real part. In this way, we resolve the ambiguity in BLM renormalization scale-setting for complex scattering amplitudes. We illustrate this by computing the H generalized parton distribution at leading twist in an analytic quark-diquark model for the parton-proton scattering amplitude that can incorporate Regge exchange contributions characteristic of the deep inelastic structure functions.
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© Springer-Verlag / Società Italiana di Fisica 2006.
F.J. Llanes Estrada warmly thanks the Stanford Linear Accelerator Center’s theory group, where this work was carried out, for their hospitality and the Fundacion del Amo-Univ. Complutense fellowship for partial financial support. This work was supported in part by grants FPA 2004 02602, 2005-02327, PR27/05-13955-BSCH (Spain) and US Department of Energy under contract number DE-AC02- 76SF00515.
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1. S.J. Brodsky, G.P. Lepage, P.B. Mackenzie, Phys. Rev. D 28, 228 (1983)
2. S.J. Brodsky, C.R. Ji, A. Pang, D.G. Robertson, Phys. Rev. D 57, 245 (1998) [arXiv:hep-ph/9705221]
3. G. Grunberg, A.L. Kataev, Phys. Lett. B 279, 352 (1992)
4. S.J. Brodsky, E. Gardi, G. Grunberg, J. Rathsman, Phys. Rev. D 63, 094017 (2001) [arXiv:hep ph/0002065]
5. S.J. Brodsky, M.S. Gill, M. Melles, J. Rathsman, Phys. Rev. D 58, 116006 (1998) [arXiv:hep ph/9801330]
6. E.C.G. Stueckelberg, A. Petermann, Helv. Phys. Acta 26, 499 (1953)
7. S.J. Brodsky, G.T. Gabadadze, A.L. Kataev, H.J. Lu, Phys. Lett. B 372, 133 (1996) [arXiv:hep-ph/9512367]
8. S.J. Brodsky, H.J. Lu, arXiv:hep-ph/9601301
9. S.J. Brodsky, P. Huet, Phys. Lett. B 417, 145 (1998) [arXiv:hep-ph/9707543]
10. M. Gell-Mann, F.E. Low, Phys. Rev. 95, 1300 (1954)
11. J.M. Cornwall, Phys. Rev. D 26, 1453 (1982)
12. T. Appelquist, M. Dine, I.J. Muzinich, Phys. Rev. D 17, 2074 (1978)
13. S.J. Brodsky, M. Melles, J. Rathsman, Phys. Rev. D 60, 096 006 (1999) [arXiv:hep-ph/9906324]
14. I.V. Anikin, B. Pire, L. Szymanowski, O.V. Teryaev, S.Wallon, Eur. Phys. J. C 42, 163 (2005) [arXiv:hepph/ 0411408]; I.V. Anikin, B. Pire, L. Szymanowski, O.V. Teryaev, S.Wallon, Phys. Rev. D 70, 011 501 (2004) [arXiv:hep-ph/0401130]
15. G.F. Chew, M.L. Goldberger, F.E. Low, Y. Nambu, Phys. Rev. 106, 1345 (1957)
16. H.J. Bremermann, R. Oehme, J.G. Taylor, Phys. Rev. 109, 2178 (1958)
17. S.J. Brodsky, M. Diehl, D.S. Hwang, Nucl. Phys. B 596, 99 (2001) [arXiv:hep-ph/0009254]
18. S.J. Brodsky, L. Frankfurt, J.F. Gunion, A.H. Mueller, M. Strikman, Phys. Rev. D 50, 3134 (1994) [arXiv:hepph/ 9402283]
19. J.C. Collins, L. Frankfurt, M. Strikman, Phys. Rev. D 56, 2982 (1997) [arXiv:hep-ph/9611433]
20. M. Vanderhaeghen, P.A.M. Guichon, M. Guidal, Phys. Rev. D 60, (1999) [arXiv:hep-ph/9905372]
21. M. Diehl, Phys. Rep. 388, 41 (2003)
22. G.P. Lepage, S.J. Brodsky, Phys. Rev. D 22, 2157 (1980)
23. S.J. Brodsky, F.J. Llanes-Estrada, work in preparation
24. A.V. Belitsky, D. Mueller, Phys. Lett. B 513, 349 (2001) [arXiv:hep-ph/0105046]
25. S.J. Brodsky, F.E. Close, J.F. Gunion, Phys. Rev. D 8, 3678 (1973)
26. P.V. Landshoff, J.C. Polkinghorne, R.D. Short, Nucl. Phys. B 28, 225 (1971)
27. D.D. Coon, J.F. Gunion, J. Tran Thanh Van, R. Blankenbecler, Phys. Rev. D 18, 1451 (1978)
28. P. Maris, arXiv:nucl-th/0412059
29. J.C.R. Bloch, C.D. Roberts, S.M. Schmidt, A. Bender, M.R. Frank, Phys. Rev. C 60, 062 201 (1999) [arXiv:nuclth/ 9907120]
30. M. Oettel, R. Alkofer, L. von Smekal, Eur. Phys. J. A 8, 553 (2000) [arXiv:nucl-th/0006082]
31. R. Alkofer, C.S. Fischer, F.J. Llanes-Estrada, Phys. Lett. B 611, 279 (2005) [arXiv:hep-th/0412330]
32. S.J. Brodsky, T. Huang, G.P. Lepage, SLAC-PUB-2868, Based on lectures given at 9th SLAC Summer Inst. on Particle Physics, Stanford, CA, Jul 27–Aug 7, 1981
33. A. Airapetian et al. [HERMES Collaboration], Eur. Phys. J. C 17, 389 (2000) [arXiv:hep-ex/0004023]; see also the overview in R. Enberg, Nucl. Phys. A 755, 595 (2005