Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Leptoproduction of heavy quarks. I. General formalism and kinematics of charged current and neutral current production processes

M. A. G. Aivazis and Fredrick I. Olness

Wu-Ki Tung

  • Southern Methodist University, Dallas, Texas 75275

  • Michigan State University, East Lansing, Michigan 48824

Phys. Rev. D 50, 3085 – Published 1 September, 1994

DOI: https://doi.org/10.1103/PhysRevD.50.3085

Abstract

Existing calculations of heavy quark production in charged current and neutral current lepton-hadron scattering are formulated differently because of the artificial distinction of ‘‘light’’ and ‘‘heavy’’ quarks made in the traditional approach. A proper QCD formalism valid for a wide kinematic range from near threshold to energies much higher then the quark mass should treat these processes in a uniform way. We formulate a unified approach to both types of leptoproduction processes based on the conventional factorization theorem. In this paper, we present the general framework with complete kinematics appropriate for arbitrary masses, emphasizing the simplifications provided by the helicity formalism. We illustrate this approach with an explicit calculation of the leading-order contribution to the quark structure functions with general masses. This provides the basis for a complete QCD analysis of charged-current and neutral current leptoproduction of charm and bottom quarks to be presented in subsequent papers.

See Also

Leptoproduction of heavy quarks. II. A unified QCD formulation of charged and neutral current processes from fixed-target to collider energies

M. A. G. Aivazis, John C. Collins, Fredrick I. Olness, and Wu-Ki Tung
Phys. Rev. D 50, 3102 (1994)

References (30)

  1. Wu Ki Tung et al., in High Energy Physics in the 1990s, Proceedings of the Summer Study, Snowmass, Colorado, 1988, edited by S. Jensen (World Scientific, Singapore, 1989), p. 305.
  2. J. Botts et al., Phys. Lett. B 304, 159 (1993).
  3. J. G. Morfin and Wu Ki Tung, Z. Phys. C 52, 13 (1991).
  4. Joseph F. Owens and Wu Ki Tung, Annu. Rev. Nucl. Part. Sci. 42, 291 (1992).
  5. K. Lang et al., Z. Phys. C 33, 483 (1987); B. A. Schumm et al., Phys. Rev. Lett. 60, 1618 (1988); Edward Oltman, Ph.D. thesis, Columbia University, 1989; Coustantinos Foudas, Ph.D. Thesis, Columbia University, 1989; C. Foudas et al., Phys. Rev. Lett. 64, 1207 (1990); P. G. Reutens et al., Z. Phys. C 45, 539 (1990); Michael H. Shaevitz, in Neutrino 90, Proceedings of the 14th International Conference on Neutrino Physics and Astrophysics, Geneva, Switzerland, edited by J. Panam and K. Winter [Nucl. Phys. B (Proc. Suppl.) 19, 270 (1991)]; S. R. Mishra et al., in Proceedings of the Joint International Lepton Photon Symposium and Europhysics Conference on High Energy Physics, Geneva, Switzerland, 1991, edited by S. Hegarty, K. Potter, and E. Qvercigh (World Scientific, Singapore, 1992).
  6. D. Bogert et al., Phys. Rev. Lett. 55, 1969 (1985); , Phys. Rev. D 43, 2778 (1991) T. S. Mattison et al., 42, 1311 (1990).
  7. H. Abramowicz et al., Phys. Rev. Lett. 57, 298 (1986); , Z. Phys. C 28, 51 (1985) J. P. Berge et al., ibid. 49, 187 (1991).
  8. U. Amaldi et al., Phys. Rev. D 36, 1385 (1987); see also J. Feltesse, in Proceedings of the 1989 International Symposium on Lepton and Photon Interactions at High Energies, Stanford, California, 1989, edited by M. Riordan (World Scientific, Singapore, 1990), p. 13.
  9. J. Ellis and G. L. Fogli, Phys. Lett. B 232, 139 (1989); G. L. Fogli and D. Haidt, Z. Phys. C 40, 379 (1988).
  10. Francis Halzen and Duncan A. Morris, Phys. Lett. B 237, 107 (1990).
  11. See, for instance, W. Furmanski and R. Petronzio, Z. Phys. C 11, 293 (1982).
  12. J. J. van der Bij and G. J. van Oldenborgh, Z. Phys. C 51, 477 (1991).
  13. B. Lampe, Z. Phys. C 34, 523 (1987); G. Kramer and B. Lampe, ibid. 54, 139 (1992).
  14. E. Laenen, S. Riemersma, J. Smith, and W. L. van Neerven, Phys. Lett. B 291, 325 (1992); W. L. van Neerven, Nucl. Phys. B392, 162 (1993); J. Smith and W. L. van Neerven, ibid. B374, 36 (1992); S. Riemersma, J. Smith, and W. L. van Neerven, Phys. Lett. B 282, 171 (1992); E. Laenen, J. Smith, and W. L. van Neerven, Nucl. Phys. B369, 543 (1992); W. Beenakker, W. L. van Neerven, R. Meng, G. A. Schuler and J. Smith, ibid. B351, 507 (1991); W. Beenakker, H. Kuijf, W. L. van Neerven and J. Smith, Phys. Rev. D 40, 54 (1989).
  15. J. V. Allaby et al., Z. Phys. C 36, 611 (1987); , Phys. Lett. B 197, 281 (1987) , ibid. 213, 554 (1988).
  16. M. Arneodo et al., Z. Phys. C 35, 1 (1987); , Nucl. Phys. B333, 1 (1990) , ibid. B321, 541 (1989); J. J. Aubert et al., Phys. Lett. 94B, 101 (1980); , ibid. 167B, 127 (1986); , Nucl. Phys. B293, 740 (1987).
  17. R. M. Barnett, Phys. Rev. Lett. 36, 1163 (1976); Phys. Rev. D 14, 70 (1976); R. J. N. Phillips, Nucl. Phys. B212, 109 (1983).
  18. Thomas Gottschalk, Phys. Rev. D 23, 56 (1981).
  19. R. Brock, talk delivered at The New Directions in Neutrino Physics at Fermilab Workshop, Batavia, Illinois, 1988 (unpublished); R. Brock, C. N. Brown, H. E. Montgomery, and M. D. Corcoran, Proceedings of Physics at Fermilab in the 1990's, Breckenridge, Colorado, edited by D. Green and H. Lubatti (World Scientific, Singapore, 1990), p. 358.
  20. M. A. G. Aivazis, Fredrick I. Olness and Wu Ki Tung, Phys. Rev. Lett. 65, 2339 (1990).
  21. For earlier references on target mass effects, see O. Nachtmann, Nucl. Phys. B63, 237 (1973); H. Georgi and D. Politzer, Phys. Rev. D 14, 1829 (1976). R. Barbieri et al., Nucl. Phys. B117, 50 (1976). K. Bitar, P. Johnson and W. K. Tung, Phys. Lett. 83B, 114 (1979); W. K. Tung, in Proceedings of the Neutrino 79, Bergen, Norway, 1979, edited by A. Haatuft and C. Jarlskog (University of Bergen, Bergen, 1979).
  22. A. Ali, F. Barreiro, J. F. de Troconiz, G. A. Schuler, and J. J. van der Bij, in Proceedings of the ECFA Large Hadron Collider Workshop, Aachen, Germany, 1990, edited by G. Jarlskog and D. Rein (CERN Report No. 90 10, Geneva, Switerzerland, 1990), p. 917; A. Ali, G. Ingelman, G. A. Schuler, F. Barreiro, M. A. Garcia, J. F. de Troconiz, R. A. Eichler, and Z. Kunszt, Proceedings of Physics at HERA, Hamburg, Germany, 1987, edited by R. Peecei (DESY, Hamburg, 1988), p. 395.
  23. G. Ingelman and G. A. Schuler, Z. Phys. C 40, 299 (1988); Gerhard A. Schuler, Nucl. Phys. B299, 21 (1988).
  24. J. Collins, D. Soper and G. Sterman, Nucl. Phys. B263, 37 (1986).
  25. J. Collins, F. Wilczek and A. Zee, Phys. Rev. D 18, 242 (1978).
  26. Fredrick I. Olness and Wu Ki Tung, in Proceedings of Frontiers in Particle Physics XII Warsaw Symposium on Elementary Particle Physics, 1989, edited by Z. Ajduk, S. Pokorski, and A. Wroblewski (World Scientific, Singapore, 1990), p. 375; F. I. Olness and Wu Ki Tung, Nucl. Phys. B 308, 813 (1988).
  27. M. A. G. Aivazis, John C. Collins, Fredrick I. Olness and Wu Ki Tung, the following paper, Phys. Rev. D 50, 3102 (1994).
  28. T. P. Cheng and Wu Ki Tung, Phys. Rev. D 3, 733 (1971); P. H. Frampton and Wu Ki Tung, ibid. 3, 1114 (1971).
  29. Fredrick Olness and Wu Ki Tung, Phys. Rev. D 35, 833 (1987).
  30. John C. Collins, Davison E. Soper, and George Sterman, Perturbative QCD, edited by A. H. Mueller (World Scientific, Singapore, 1989).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation