Abstract
The perturbative properties of parton distributions generated radiatively from a valence-like input at some low resolution scale are discussed with the aim of explaining the physical aspects underlying the reliability of the predicted distributions in the small-x region. Aspects of higher-twist (shadowing) effects as well as small-x resummations are discussed. Utilizing recent improved data atx≳10−2 and a factorization scheme in which the heavy quarksc, b, ..., arenot entailed among the intrinsic (massless) parton distributions, we readjust our valencelike input and provide parametrizations of the slightly modified dynamical LO and NLO\((\overline {MS} ,DIS)\) predictions for parton distributions.
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G. Parisi, R. Petronzio: Phys. Lett. 62B (1976) 331; V.A. Novikov, M.A. Shifman, A.I. Vainshtein, V.I. Zakharov: JETP Lett. 24 (1976) 341; Ann. Phys. (N.Y.) 105 (1977) 276; M. Glück, E. Reya: Nucl. Phys. B130 (1977) 76
M. Glück, R.M. Godbole, E. Reya: Z. Phys. C41 (1989) 667
M. Glück, E. Reya, A. Vogt: Z. Phys. C48 (1990) 471
M. Glück, E. Reya, A. Vogt: Z. Phys. C53 (1992) 127
M. Glück, E. Reya, A. Vogt: Phys. Lett. B306 (1993) 391
N.N. Nikolaev (Landau Inst., Moscow), Tokyo Univ. INS-Rep.-539 (1985), unpublished
S.J. Brodsky, I. Schmidt: Phys. Lett. B234 (1990) 144
I. Abt et al., H1 Collab.: Nucl. Phys. B407 (1993) 515; T. Ahmed et al., H1 Collab., DESY 95-006 (1995); M. Derrick et al., ZEUS Collab.: Phys. Lett. B316 (1993) 412; DESY 94-143 (1994)
I. Abt et al., H1 Collab.: Phys. Lett. B314 (1993) 436; M. Erdmann, Proceedings of the Workshop on Two-Photon Physics at LEP and HERA, Lund, May 1994, eds. G. Jarlskog, L. Jönsson (Lund Univ., 1994) p. 71
J. Dainton (H1): AIP Conference Proceedings 302 of the XVI Int. Symposium on Lepton-Photon Interactions, Cornell Univ. Ithaca (NY 1993), eds. P. Drell and D. Rubin (AIP Press, New York, 1994) p. 87; J.F. Martin (ZEUS), ibid.: AIP Conference Proceedings 302 of the XVI Int. Symposium on Lepton-Photon Interactions, Cornell Univ. Ithaca (NY 1993), eds. P. Drell and D. Rubin (AIP Press, New York, 1994) p. 119; J. Feltesse, plenary talk presented at the 27th Int. Conf. on High Energy Physics, Glasgow, July 1994, Saclay DAPNIA/SPP 94-35
D.J. Miller: AIP Conference Proceedings 302 of the XVI. Int. Symposium on Lepton-Photon Interactions, Cornell Univ., Ithaca (NY 1993), eds. P. Drell, D. Rubin (AIP Press, New York, 1994) p. 654; experimental results presented in the Proceedings of the Workshop on Two-Photon Physics at LEP and HERA, Lund 1994, eds. G. Jarlskog and L. Jönsson (Lund Univ. press).
Proceedings of the Workshop ‘HERA-the New Frontier for QCD’ (Durham, March 1993), J. Phys. G: Nucl. Part. Phys. 19, No. 10 (1993) 1425–1703
M. Lüscher, R. Sommer, P. Weisz, U. Wolff: Nucl. Phys. B389 (1993) 247; Nucl. Phys. B413 (1994) 481; M. Lüscher, R. Narayanan, R. Sommer, P. Weisz and U. Wolff, Nucl. PHys. B (Proc. Suppl.) 30 (1993) 139
R.K. Ellis, Z. Kunszt, E.M. Levin: Nucl. Phys. B420 (1994) 517
M. Glück, E. Reya, M. Stratmann: Nucl. Phys. B422 (1994) 37
E. Laenen, S. Riemersma, J. Smith, W.L. van Neerven: Nucl. Phys. B392 (1993) 162
M. Arneodo et al., EM Collab.: Nucl. Phys. B333 (1990) 1; P. Amaudruz et al.: NM Collab., Phys. Lett. B295 (1992) 159
A.D. Martin, R.G. Roberts, W.J. Stirling: MRS (D 0 ′,D − ′): Phys. Lett. B306 (1993) 145; MRS(H): Rutherford Appleton Lab. RAL-93/077/Univ. Durham DTP/93/86; MRS(A): Phys. Rev. D50 (1994) 6734
M. Glück, E. Reya, A. Vogt: Nucl. Phys. B (Proc. Suppl.) 18C (1990) 49, and references therein
J. Botts et al. (CTEQ): Phys. Lett. B304 (1993) 159
A. de Rujula, H. Georgi, H.D. Politzer: Ann. Phys. (N.Y.) 103 (1977) 315; Phys. Rev. D15 (1977) 2495
L.V. Gribov, E.M. Levin, M.G. Ryskin: Phys. Rep. 100 (1983) 1
A.H. Mueller, J. Qiu: Nucl. Phys. B268 (1986) 427
D.J. Gross, F. Wilczek: Phys. Rev. D9 (1974) 980, and references therein; H.D. Politzer: Nucl. Phys. B172 (1980) 349; M. Okawa: Nucl. Phys. B172 (1980) 481; B187 (1981) 71; E.V. Shuryak, A.I. Vainshtein: Phys. Lett. B105 (1981) 65; R.K. Ellis, W. Furmanski, R. Petronzio: Nucl. Phys. B207 (1982) 1; B212 (1983) 29
M. Altmann, M. Glück, E. Reya: Phys. Lett. B285 (1992) 359
E.A. Kuraev, L.N. Lipatov, V. Fadin: JETP 44 (1976) 443; 45 (1977) 199; Ya. Ya. Balitzkij, L.N. Lipatov, Sov. J. Nucl. Phys. 28 (1978) 822; J.B. Bronzan. R.L. Sugar: Phys. Rev. D17 (1978) 585; T. Jaroszewicz: Phys. Lett. B116 (1982) 291; J. Kwiecinki: Z. Phys. C29 (1985) 561; J. Kwiecinski, A.D. Martin, W.J. Stirling, R.G. Roberts: Phys. Rev. D42 (1990) 3645; J. Bartels, M.G. Ryskin: Z. Phys. C60 (1993) 751
A.J. Askew, J. Kwiecinski, A.D. Martin, P.J. Sutton: Mod. Phys. Lett. A8 (1993) 3813; Phys. Rev. D49 (1994) 4402; N.N. Nikolaev and B.G. Zakharov: Phys. Lett. B327 (1994) 157; ibid. N.N. Nikolaev and B.G. Zakharov: Phys. Lett. B328 (1994) 486
V.S. Fadin, L.N. Lipatov: Nucl. Phys. B406 (1993) 259
S. Catani, M. Ciafaloni, F. Hautmann: Phys. Lett. B242 (1990) 97; Nucl. Phys. B366 (1991) 135; Proceedings of the Workshop on “Physics at HERA”, DESY, Hamburg, 1991, eds. W. Buchmüller and G. Ingelman, vol. 2, p. 690; J.C. Collins, R.K. Ellis: Nucl. Phys. B (Proc. Suppl.) 18C (1990) 80; Nucl. Phys. B360 (1991) 3
W.L. van Neerven, plenary talk on ‘Higher Order QCD Corrections to Deep Inelastic Structure Functions' at the DESY Workshop 93' on QCD (DESY, Hamburg, 1993); E.B. Zijlstra, W.L. van Neerven: Nucl. Phys. B383 (1992) 525
A. Ukawa: Nucl. Phys. B (Proc. Suppl.) 30 (1993) 3, and references therein
M. Glück, E. Reya, A. Vogt: Z. Phys. C53 (1992) 651
M. Glück, E. Reya, A. Vogt: Phys. Rev. D45 (1992) 3986; D46 (1992) 1973
M. Glück, E. Reya, A. Vogt: Phys. Rev. D48 (1993) 116
M. Glück, L.E. Gordon, E. Reya, W. Vogelsang: Phys. Rev. Lett. 73 (1994) 388
P. Amaudruz et al., NM Collab.: Phys. Rev. Lett. 66 (1991) 2712
A.C. Benvenuti et al., BCDMS Collab.: Phys. Lett. B223 (1989) 485; ibid. A.C. Benvenuti et al., BCDMS Collab.: Phys. Lett. B237 (1990) 592
A. Baldit et al., NA51 Collab.: Phys. Lett. B332 (1994) 244
L.W. Whitlow et al.: Nucl. Phys. B (Proc. Suppl.) 16 (1990) 215; Univ. Rochester report UR-1119 (1989); SLAC-report-357 (1990)
P. Aurenche et al.: Phys. Rev. D39 (1989) 3275
M. Diemoz, F. Ferroni, E. Longo, G. Martinelli: Z. Phys. C39 (1988) 21
M. Glück, E. Reya: Phys. Rev. D14 (1976) 3034
M. Glück, E. Reya: Phys. Lett. 69B (1977) 77; Phys. Rev. D16 (1977) 3242; I. Hinchliffe, C.H. Llewellyn Smith: Nucl. Phys. B128 (1977) 93
H. Abramowicz et al., CDHSW Collab.: Z. Phys. C15 (1982) 19
C. Foudas et al., CCFR Collab.: Phys. Rev. Lett. 64 (1990) 1207;
S.A. Rabinowitz et al., CCFR Collab., ibid.Phys. Rev. Lett. 70 (1993) 134
Review of Particle Properties, Phys. Rev. D45 (1992) Part II, ibid. Phys. Rev. D50 (1994) 1173
S. Kretzer, E. Reya, M. Stratmann: Univ. Dortmund DO-TH 94/26 (Phys. Lett. B)
W.T. Giele, E.W.N. Glover, D. Kosower: Nucl. Phys. B403 (1993) 633
A. Bodek, CDF Collab.: Univ. Rochester report UR-1351, Proc. of the Internat Workshop on Deep Inelastic Scattering, Eilat, Israel, Feb. 1994; CDF Collab.: Fermilab-Conf-94/146-E, submitted to the 27th Internat. Conf. on High Energy Physics, Glasgow, July 1994; M. Dickson, CDF Collab.: Univ. Rochester report UR-1349 (1994), unpublished.
E665 Collab., A.V. Kotwal: Fermilab-Conf-94/345-E, presented at the VIth Rencontres de Blois, France, June 1994; H. Schellman, private communication, Sept. 1994; J. Feltesse, [10] plenary talk presented at the 27th Int. Conf. on High Energy Physics, Glasgow, July 1994, Saclay DAPNIA/SPP 94-35
A.O. Bazarko et al., CCFR collab.: Columbia Univ. report NEVIS R#1502 (1994)
G. Altarelli, R.K. Ellis, G. Martinelli: Nucl. Phys. B143 (1978) 521; B146 (1978) 544(E); ibid. Nucl. Phys. B157 (1979) 461
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On leave of absence from Sektion Physik, Universität München, D-80333 Munich, Germany
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Glück, M., Reya, E. & Vogt, A. Dynamical parton distributions of the proton and small-x physics. Z. Phys. C - Particles and Fields 67, 433–447 (1995). https://doi.org/10.1007/BF01624586
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DOI: https://doi.org/10.1007/BF01624586