Deep Inelastic Phenomena

  • C. H. Llewellyn Smith
Part of the NATO Advanced Study Institutes Series book series (NSSB, volume 39)


These lectures were supposed to serve as an introduction to the parton model and ideas associated with asymptotic freedom which could then be used freely by later speakers. To keep the attention of those to whom it was already familiar, I decided that while introducing the parton model, I would attempt simultaneously to review all its applications to processes involving leptons. It turned out that the introduction was probably too compressed for the uninitiated and the review covered too many topics too quickly to be followed easily. However, I hope that the written version of this “introductory review”, which is contained in part I of these notes, will prove useful.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1).
    Previous reviews of various applications of the parton model include R.P. Feynman “Photon Hadron Interactions” (Benjamin (1972) J. Ellis in “Weak and Electromagnetic Interactions” ed. R.Balian CH. Llewellyn Smith, North Holland, 1977.Google Scholar
  2. 2).
    C.H. Llewellyn Smith Physics Reports 3C, n°5, 1972.Google Scholar
  3. 3).
    M. Einhorn, Phys. Rev. D14, 3451, 1976.ADSGoogle Scholar
  4. 4).
    J.S. Bell, CERN TH-2291, 1977.Google Scholar
  5. 5).
    The older data are reviewed by J.I. Friedman and H.W. Kendall. Ann. Rev. Nucl. Science 22, 203, 1972.ADSCrossRefGoogle Scholar
  6. 6).
    More recent data reviewed by R.E. Taylor. Proc. 1975 Stanford Conference.Google Scholar
  7. 7).
    H.L. Anderson et al. Phys. Rev. Lett. 38, 1450, 1977. See the forthcoming Proc. 1977, Hamburg Lepton Symposium for the latest results.ADSCrossRefGoogle Scholar
  8. 8).
    E.M. Riordan et al. SLAC. Pub 1634, 1973.Google Scholar
  9. 9).
    C.G. Callan and D.J. Gross, Phys. Rev. Lett. 22, 156, 1969.ADSCrossRefGoogle Scholar
  10. 10).
    Data reported at the Hamburg Conference (August 1977) apparently suggest that σO/σT may be bigger than previously believed. The implications are discussed in section B4.Google Scholar
  11. 11).
    W.B. Atwood, SLAC report 185, 1975.Google Scholar
  12. 12).
    For reviews of neutrino data see D.H. Perkins. Reports on Prog, in Physics 40, 409, 1977. P. Musset. Physics Reports (in press). B.C. Barish in “Weak and Electromagnetic Interactions”, loc. cit. and Physics Reports (in press). For the latest SPS date see: M. Holder et al., Phys. Rev. Lett. 39, 433, 1977 and P.C. Bosetti et al., Phys. Lett 708, 273, 1977 and Proc. 1977 Hamburg Lepton Symposium (in press).ADSCrossRefGoogle Scholar
  13. 13).
    C.H. Llewellyn Smith, Nucl. Phys. B17. 277, 1970.CrossRefGoogle Scholar
  14. 14).
    D.J. Gross & C.H. Llewellyn Smith, Nucl. Phys. B17, 337, 1969.ADSCrossRefGoogle Scholar
  15. 15).
    H. Deden et al., Nucl. Phys. B85, 269, 1975.ADSCrossRefGoogle Scholar
  16. 16).
    A.J. Buras and K.J.P. Gaemers Physics Letters, 71B, 106, 1977. I. Hinchliffe. Oxford preprint 60/77.ADSCrossRefGoogle Scholar
  17. 17).
    The Kinematics are analysed (e. g.) in R.L. Heimann Nucl. Phys. B64, 429, 1973. Where references to earlier work may be found.ADSCrossRefGoogle Scholar
  18. 18).
    J.D. Bjorken, Phys. Rev. 148, 1467, 1966 and D1 1376, 1969.ADSGoogle Scholar
  19. 19).
    F.E. Close, F. Gilman and I. Karliner, Phys. Rev. D6, 2533, 1973. F.E. Close, Nucl. Phys. B80, 269, 1974.ADSCrossRefGoogle Scholar
  20. 20).
    M.J. Alguard et al., Phys. Rev. Lett. 37, 1261, 1976.ADSCrossRefGoogle Scholar
  21. 21).
    R.F. Schwitters et al., Phys. Rev. Lett. 35, 1320, 1975.ADSCrossRefGoogle Scholar
  22. 22).
    S.D. Drell and T.M. Yan, Phys. Rev. Lett. 25, 316, 1970 (see also ref. 52).ADSCrossRefGoogle Scholar
  23. 23).
    R.L. Kingsley and C. Nash, Nuovo Cimento Letters 4, 802, 1972.CrossRefGoogle Scholar
  24. 24).
    S.J. Brodsky, J.F. Gunion and R.L. Jaffe, Phys. Rev. D6, 2487, 1972. Results of an experiment on this process are reported in D.L. Faucher et al., Phys. Rev. Lett. 38, 800, 1977.ADSCrossRefGoogle Scholar
  25. 25).
    K.H. Craig, Oxford University thesis (in preparation).Google Scholar
  26. 26).
    See papers in Proc. 1977 Hamburg Lepton Symposium and Proc. 1975, Stanford Lepton Symposium.Google Scholar
  27. 27).
    This curve is taken for ref 32 where references to the experiments are given (the curves are fits made in ref 32).Google Scholar
  28. 28).
    J. Ellis and C.H. Llewellyn Smith - footnote 36 of C.H.Llewellyn Smith in Proc. 4th Int. Conf. on High Energy Collisions, Oxford 1972 (RHEL 72. 001 ).Google Scholar
  29. 29).
    C.H. Llewellyn Smith and A. Pais, Phys. Rev. D6, 2625, 1972.Google Scholar
  30. 30).
    M. Haguenauer in Proc. XVII Int. Conf. on High Energy Physics, London, 1974, e. d. J.R. Smith (RHEL Publication, 1974 ).Google Scholar
  31. 31).
    M. Gronau, F. Ravndal and Y. Zarmi, Nucl. Phys. B51, 611, 1973.ADSCrossRefGoogle Scholar
  32. 32).
    R.D. Field and R.P. Feynman, Phys. Rev. D15, 2590, 1976. (in Fig. 24, the points with ∆ are from L. Sehgal, Nucl. Phys. B90, 471, 1975 ).ADSGoogle Scholar
  33. 33).
    L.M. Sehgal, Aachen preprint PITHA nr 81, 1977 to be published in Proc. 1977 Hamburg Lepton Symposium.Google Scholar
  34. 34).
    J.F. Martin and L. Osborne, Phys. Rev. Lett, 38, 1193, 1977.ADSCrossRefGoogle Scholar
  35. 35).
    W.A. Loomis et al., Phys. Rev. D (in press).Google Scholar
  36. 36).
    Pham Quang Huang and J.J. Sakurai, UCLA preprint 77/TEP/17.Google Scholar
  37. 37).
    See, e. g. P. Darriulat in Proc. XVIII Int. Conf. on High Energy Physics, Tblisi, 1976 and Proc. VIII Int. Conf. on multi-particle Dynamics, Kaiserburg, France 1977.Google Scholar
  38. 38).
    C. Bromberg et al., Phys. Rev. Lett. 38, 447, 1977 and Caltech preprint CALT 68–63–1977.CrossRefGoogle Scholar
  39. 39).
    R.P. Feynman, R.D. Field and G.C. Fox, Nucl. Phys. B128, 1, 1977 and ref. 32.ADSCrossRefGoogle Scholar
  40. 40).
    R. Holler in Proc. 1977 Rencontre de Moriond (to be published).Google Scholar
  41. 41).
    R. Cutler and D. Sivers. Argonne report ANL-HEP-PR-77-40.Google Scholar
  42. 42).
    C.H. Llewellyn Smith (unpublished).Google Scholar
  43. 43).
    C.H. Llewellyn Smith, to be published.Google Scholar
  44. 44).
    For an excellent review see H.D. Politzer Physics Reports 14C 129, 1974. Refs 54 and 50 are to some of the original literature.ADSCrossRefGoogle Scholar
  45. 45).
    W. Zimmerman in “lectures on Elementary Particles and Quantum Field Theory” ed. S. Deser et al. (MIT press 1971 ).Google Scholar
  46. 46).
    For excellent reviews of renormalization see C.G. Callan in “Methods in Field Theory” ed. R. Balian and J. Zinn-Justin, North Holland 1976. S. Coleman in “Properties of the Fundamental Interactions” part C, ed. A. Zichichi, Editrice Compositori - Bologna, 1973.Google Scholar
  47. 47).
    S. Coleman in “Properties of the Fundamental Interactions” part A, ed. A. Zichichi, Editrice Compositori - Bologna, 1973.Google Scholar
  48. 48).
    K. Symanzik in “Fundamental Interactions at High Energies” ed. A. Perlmutter et al., (Gordon and Breach, 1970). See S. Coleman (ref. 46) for a pedagogical exposition of this theorem.Google Scholar
  49. 49).
    N. Christ, B. Hasslacher and A.H. Mueller, Phys. Rev. D6, 3543, 1972. This result was first derived by studying diagrams explicitly in all orders by V. N. Gribov and L.N. Lipatov Sov. J. Nucl. Phys. JJ5_, 438, 1972.ADSGoogle Scholar
  50. 50).
    T. Appelquist and H. Georgi, Phys. Rev. D8, 4000, 1973. A. Zee, Phys. Rev. D8, 4038, 1978. For a discussion of the problem of continuing to time like q2 see R.G. Moorehouse, M.R. Pennington and G.G. Ross, Nucl. Phys. B124, 285, 1977 and references therein.ADSGoogle Scholar
  51. 51).
    J. Kogut and L. Susskind, Phys. Rev. D9, 697 and 3391, 1974.ADSGoogle Scholar
  52. 52).
    S.D. Orell and T.M. Yan Annals of Physics 66, 578, 1971 and references therein.ADSCrossRefGoogle Scholar
  53. 53).
    G. Altarelli and G. Parisi, Nucl. Phys. B126, 298, 1977. See also K.J. Kim and K. Schilcher Mainz preprint 172-TH 7712.ADSCrossRefGoogle Scholar
  54. 54).
    D. Gross and F. Wilczek, Phys. Rev. D8, 3633, 1973 and D9, 980, 1974. H. Georgi and H.D. Politzer, Phys. Rev. D9, 416, 1974.ADSGoogle Scholar
  55. 55).
    This is essentially what is done in M. Glück and E. Reya, Phys. Rev. D14, 3035, 1976 and Mainz preprint MZ-TH 7619. A. Buras, Nucl. Phys. B125, 125, 1977 and A. Buras and K.J. Gaemers, CERN TH-2322 and 2368. I. Hinchliffe and C.H. Llewellyn Smith, Nucl. Phys. B126, 93, 1977. C.G. Fox, Nucl. Phys. B131, 107, 1977.ADSCrossRefGoogle Scholar
  56. 56).
    E.G. Floratos, D.A. Ross and C.T. Sachrajda, Nucl. Phys. B129, 66, 1977, and A.J. Buras, E.G. Floratos, D.A. Ross and C.T. Sachrajda, CERN TH-2340, 1977.ADSCrossRefGoogle Scholar
  57. 57).
    A. De Rujula, G. Georgi and H.D. Politzer, Annals of Physics 103, 315, 1977.ADSCrossRefGoogle Scholar
  58. 58).
    A. De Rujula, H. Georgi and H.D. Politzer, Phys. Rev. D15, 2495, 1977 and references therein.ADSGoogle Scholar
  59. 59).
    O. Nachtmann, Nucl. Phys. B63, 237, 1973.ADSCrossRefGoogle Scholar
  60. 60).
    I. Hinchliffe and C.H. Llewellyn Smith, ref. 55.Google Scholar
  61. 61).
    The effect of QCD scaling violations on charged current neutrino cross-sections is discussed in I. Hinchliffe and C.H. Llewellyn Smith, Phys. Letters 70B, 247, 1977. A. Buras, CERN TH-2285, 1977 and ref. 55. G.C. Fox, Caltech preprint CALT 68-619. For neutral current cross-sections see ref. 16.ADSCrossRefGoogle Scholar
  62. 62).
    For a review/survey see O. Nachtmann, Heidelberg preprint HD-THEP-77-13, to be published in Proc. 1977, Hamburg Lepton Symposium.Google Scholar
  63. 63).
    For an analysis of moments of the neutrino structure functions see a forthcoming paper based on results from the BEBC neutrino experiment by the ABCLOS (Aachen etc) collaboration. For an analysis of moments of Fe2 see H. L. Anderson et al., Chicago preprint submitted to Phys. Rev. Letters.Google Scholar
  64. 64).
    An investigation of the choice of scaling variable, the correct combinations of structure functions to which the predictions apply and the higher orders in αs is obviously especially important in the case of FL. A careful discussion of these points may be found in A.J. Buras et al., ref 56.Google Scholar
  65. 65).
    This was pointed out explicitly in ref. 66 where the leading log calculations of structure functions due to Gribov and Lipatov (ref 49) and of μ pair production due to Halliday (Nucl. Phys. B103, 343, 1976), were confronted.Google Scholar
  66. 66).
    I. Hinchliffe and C.H. Llewellyn Smith, Phys. Lett. 66B, 281, 1977.ADSCrossRefGoogle Scholar
  67. 67).
    C.T. Sachrajda, CERN TH-2416, 1977.Google Scholar
  68. 68).
    H.D. Politzer, Nucl. Phys. B129, 301, 1977.ADSCrossRefGoogle Scholar
  69. 69).
    J. Kripfganz and M.G. Schmidt, CERN TH-2266, 1977.Google Scholar
  70. 70).
    For a discussion of deep inelastic processes in this model see ref. 3. For a review of 2D QCD see J. Ellis, in Proc. 1977 Zakopane School, to be published in Acta Physica Polonica.Google Scholar
  71. 71).
    J. Kogut, Phys. Lett. 65B, 377, 1976.ADSCrossRefGoogle Scholar
  72. 72).
    I. Hinchliffe and C.H. Llewellyn Smith, ref 55. J. Kogut and J. Shigemitsu, Nucl. Phys. B129, 461, 1977.ADSGoogle Scholar
  73. 73).
    Work on jets may be found in J. Ellis, U.K. Gaillard and G.G. Ross, Nucl. Phys. B111, 253, 1976. E.G. Floratos, CERN TH-2261, 1976 - to be published in Nuovo Cimento. T.A. De Grand, Y.J. Ng and S.H.H. Tye, SLAC PUB 1950, 1977. H.D. Politzer, ref 68. G. Sternman and S. Weinberg, Phys. Rev. Lett., 39, 1436, 1977. H. Georgi and M. Machacek, Phys. Rev. Lett. 39, 1237, 1977. E. Farhi, Phys. Rev. Lett., 39, 1587, 1977. H.D. Politzer, Phys. Letters (in press).K.H. Craig and C.H. Llewellyn Smith Phys. Letters [in press) H. Georgi and H.D. Politzer, Phys. Rzev. Lett., 40, 3, 1978. C.H. Llewellyn Smith - ref 43.ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1979

Authors and Affiliations

  • C. H. Llewellyn Smith
    • 1
  1. 1.Department of Theoretical PhysicsOxfordUK

Personalised recommendations