Abstract
The\(\left( {\frac{{m_\pi ^4 }}{{(m_u + m_d )^2 Q^2 }}} \right)\) andO (α 2S ) corrections to the leading term of the perturbative QCD calculation of the pion electromagnetic form factor are examined numerically. Both sets of terms provide significant corrections for values ofQ 2 between 1 and 15 GeV2/c2.
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Chernyak, V.L., Zhitnitskii, A.R., Serbo, Vin.G.: Pis'ma Zh. Eksp. Teor. Fiz.26, 760 (1977) [JETP C-426, 594 (1977)]
Chernyak, V.L., Zhitnitskii, A.R.: Yad. Fiz.31, 1053 (1980) [Sov. J. Nucl. Phys.31, 544 (1980)]
Lepage, G., Brodsky, S.: Phys. Lett. B87, 359 (1979)
Efremov, A.V., Radyushkin, A.V.: Teor. Mat. Fiz.42, 147 (1980); Phys. Lett. B94, 245 (1980)
Jackson, D.R.: Ph.D. Thesis CIT 1977; Farrar, G.R., Jackson, D.R.: Phys. Rev. Lett.43, 246 (1979)
Chernyak, V.L., Zhitnitskii, A.R.: Phys. Rep.112, 173 (1984); Nucl. Phys. B246, 52 (1984)
Radyushkin, A.V.: Nucl. Phys. A527, 153c (1991)
Isgur, N., Llewellyn Smith, C.H.: Nucl. Phys. B317, xx (1989); cf. also Huang, T., Sha, Q.-X.: Z. Phys. C50, 135 (1991)
Sudakov, V.V.: Sov. Phys. — JETP3, 65 (1956)
Botts, J., Sterman, G.: Nucl. Phys. B325, xx (1989)
Li, H.N., Sterman, G.: Nucl. Phys. B381, 129 (1992)
Bebek, C.J., et al.: Phys. Rev. D13, 25 (1976); ibid.17, 693 (1978)
Geshkenbein, B.V., Terentyev, M.V.: Phys. Lett. B117, 243 (1982); Sov. J. Nucl. Phys.39, 554 (1984)
Mueller, A.H.: Phys. Lett. B308, 355 (1993)
Field, R.D., Gupta, R., Otto, S., Chang, L.: Nucl. Phys. B186, 429 (1981)
Dittes, F.-M., Radyushkin, A.V.: Sov. J. Nucl. Phys.34, 293 (1981)
Sarmadi, M.H.: Ph.D. Thesis, University of Pittsburgh 1982
Braaten, E., Tse, S.-M.: Phys. Rev. D35, 2255 (1987)
Collins, J.C.: In: Perturbative quantum chromodynamics. Mueller, A.H. (ed.). Singapore: World Scientific 1989
See for example Field, R.D.: Perturbative QCD. Chapt. 8
In [12] it is also demonstrated that use of the projectionP(l, ¯l1) is consistent with the Bethe-Salpeter equation in the pseudoscalar channel
Gasser, J., Leutwyler, H.: Phys. Rep.87, 77 (1982)
Jakob, R., Kroll, P.: CERN TH 6900/93 WV-B 93-19
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Parts of this work were done while one of us (JP) was a visitor at the national INT, the University of Maryland and TRIUMF. He is grateful to those institutions for their hospitality. We have benefitted from discussions with A. Mueller and G. Sterman. This work is supported in part by the U.S. Department of Energy.
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Miller, G.A., Pasupathy, J. Higher twist and higher order contributions to the pion electromagnetic form factor. Z. Physik A - Hadrons and Nuclei 348, 123–127 (1994). https://doi.org/10.1007/BF01289600
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DOI: https://doi.org/10.1007/BF01289600