Simple quantum-chromodynamic parametrizations of parton distributions beyond the leading order of asymptotic freedom

Andrzej Bialas; Andrzej J. Buras

doi:10.1103/PhysRevD.21.1825

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Simple quantum-chromodynamic parametrizations of parton distributions beyond the leading order of asymptotic freedom

Andrzej Bialas^* and Andrzej J. Buras^†

Fermi National Accelerator Laboratory, Batavia, Illinois 60510

^*Present address: Jagellonian University, Institute of Physics, Krakow 16, Reymonta 4, Poland.
^†Operated by Universities Research Association Inc. under contract with the United States Department of Energy.

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Phys. Rev. D 21, 1825 – Published 1 April, 1980

DOI: https://doi.org/10.1103/PhysRevD.21.1825

Abstract

It is shown that the $Q^{2}$ dependence of the nonsinglet (NS) parton distributions in quantum chromodynamics with leading- and next-to-leading-order corrections included can be adequately represented by simple analytic expressions, similar to those proposed by Gaemers and one of the authors. The pattern of higher-order corrections to the $Q^{2}$ dependence of $F_{2}^{NS} (x, Q^{2})$ and of $F_{3} (x, Q^{2})$ is discussed.

References (31)

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W. A. Bardeen, A. J. Buras, D. W. Duke, and T. Muta, Phys. Rev. D 18, 3998 (1978)
W. A. Bardeen and A. J. Buras, Phys. Lett. 86B, 61 (1979)
A. Petermann, Phys. Rep. 53C, 157 (1979) A. J. Buras, Rev. Mod. Phys. 52, 199 (1980)
A. J. Buras, Nucl. Phys. B125, 125 (1977) A. J. Buras and K. J. F. Gaemers ibid. B132, 249 (1978)
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Omitted endnote
K. Wilson, Phys. Rev. 179, 1499 (1969)
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Omitted endnote
Omitted endnote
[5]
A. J. Buras, E. G. Floratos, D. A. Ross, and C. T. Sachrajda, Nucl. Phys. B131, 308 (1977)
Omitted endnote
T. G. H. De Groot et al., Z. Phys. C 1, 143 (1979)
Omitted endnote
Omitted endnote
([21])
Omitted endnote
R. K. Ellis, H. Gorgi, M. Machacek, H. D. Politzer, and G. G. Ross, Nucl. Phys. B152, 453 (1979) S. Gupta and A. H. Mueller, Phys. Rev. D20, 118 (1979) A. J. Buras, Fermilab Report No. FERMILAB-Conf-79/65-THY [in Proceedings of the Boulder Summer School, 1979 (unpublished)]
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[22]
G. Altarelli, R. K. Ellis, and G. Martinelli, Nucl. Phys. B157, 461 (1979)

[c1] E. G. Floratos, D. A. Ross, and C. T. Sachrajda, Nucl. Phys. B129, 66 (1977) ibid.B139, 545 (1978) ibid.B152, 493 (1979) Phys. Lett. 80B, 269 (1979) ibid.87B, 403 (E) (1979)

[c2] W. A. Bardeen, A. J. Buras, D. W. Duke, and T. Muta, Phys. Rev. D 18, 3998 (1978)

[c3] W. A. Bardeen and A. J. Buras, Phys. Lett. 86B, 61 (1979)

[c4] A. Petermann, Phys. Rep. 53C, 157 (1979) A. J. Buras, Rev. Mod. Phys. 52, 199 (1980)

[c5] A. J. Buras, Nucl. Phys. B125, 125 (1977) A. J. Buras and K. J. F. Gaemers ibid. B132, 249 (1978)

[c6] G. Fox, Nucl. Phys. B131, 107 (1977) F. T. Yndurain, Phys. Lett. 74B, 68 (1978) G. Parisi and N. Sourlas, Nucl. Phys. B151, 421 (1979) W. Furmanski and S. Pokorski, CERN Report No. CERN-TH-2685 (unpublished)

[c7] L. Baulier and C. Kounnas, Nucl. Phys. B141, 423 (1978) L. BaulierC. KounnasJ. Kodaira and T. Uematsuibid., ibib. B141, 497 (1978)

[c8] G. Altarelli, R. K. Ellis, and G. Martinelli, Nucl. Phys. B143, 521 (1978) B146, 544 (E) (1979)

[c9] H. D. Politzer, Phys. Rep. 14C, 129 (1974) D. J. Gross and F. Wilczek, Phys. Rev. D 9, 980 (1974)

[c10] Omitted endnote

[c11] K. Wilson, Phys. Rev. 179, 1499 (1969)

[c12] D. R. T. Jones, Nucl. Phys. B75, 531 (1974) W. Caswell, Phys. Rev. Lett. 33B, 244 (1974)

[c13] G. `t Hooft, Nucl. Phys. B161, 455 (1973)

[c14] M. Báce, Phys. Lett. 78B, 132 (1978)

[c15] P. C. Bosetti et al., Nucl. Phys. B142, 1 (1978) D. W. Duke and R. G. Roberts, Phys. Lett. 85B, 289 (1979) H. L. Anderson et al., Phys. Rev. D 20, 645 (1979) A. Para and C. T. Sachrajda, Phys. Lett. 86B, 331 (1979)

[c16] Omitted endnote

[c17] Omitted endnote

[c18] [5]

[c19] A. J. Buras, E. G. Floratos, D. A. Ross, and C. T. Sachrajda, Nucl. Phys. B131, 308 (1977)

[c20] Omitted endnote

[c21] T. G. H. De Groot et al., Z. Phys. C 1, 143 (1979)

[c22] Omitted endnote

[c23] Omitted endnote

[c24] ([21])

[c25] Omitted endnote

[c26] R. K. Ellis, H. Gorgi, M. Machacek, H. D. Politzer, and G. G. Ross, Nucl. Phys. B152, 453 (1979) S. Gupta and A. H. Mueller, Phys. Rev. D20, 118 (1979) A. J. Buras, Fermilab Report No. FERMILAB-Conf-79/65-THY [in Proceedings of the Boulder Summer School, 1979 (unpublished)]

[c27] J. F. Owens and E. Reya, Phys. Rev. D 17, 3003 (1978)

[c28] A. González-Arroyo, C. López, and F. T. Ynduráin, CERN Report No., TH2728-CERN (unpublished)

[c29] D. W. Duke and R. G. Roberts, Rutherford Laboratory Report No. RL-79-073 (unpublished)

[c30] [22]

[c31] G. Altarelli, R. K. Ellis, and G. Martinelli, Nucl. Phys. B157, 461 (1979)

Physical Review D

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Simple quantum-chromodynamic parametrizations of parton distributions beyond the leading order of asymptotic freedom

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References (31)

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