Effects of soft-gluon emission on the angular distributions of high-mass dileptons

M. Chaichian; M. Hayashi; K. Yamagishi

doi:10.1103/PhysRevD.26.3078

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Effects of soft-gluon emission on the angular distributions of high-mass dileptons

M. Chaichian

M. Hayashi

K. Yamagishi

Department of High Energy Physics, University of Helsinki, Finland

Department of Physics, Saitama Medical College, Saitama 350-04, Japan

Department of Physics, Tokuyama University, Yamaguchi 745, Japan

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Phys. Rev. D 26, 3078 – Published 1 December, 1982

DOI: https://doi.org/10.1103/PhysRevD.26.3078

Abstract

We investigate the implications of soft-gluon-emission effects on the angular distributions for dileptons arising from decays of a virtual photon and the $Z^{0}$ boson produced in $\bar{p} p$ collision at large mass $M$ and finite transverse momentum $Q_{T}$ of dileptons in the range $Λ ≪ Q_{T} ≪ M$ . Numerical evaluation of the differential cross section $\frac{d σ}{dM dy {Q_{T}}^{2}}$ and the parity-violating coefficient $ξ (Q_{T}, M)$ in the angular distributions is carried out for $\bar{p} p$ collision at $\sqrt{s} = 540$ GeV and $y = 0$ in the small- $Q_{T}$ limit in the Gottfried-Jackson reference frame, using two types of the QCD quark form factor: Sudakov type and Rakow-Webber type. The results are also compared with the lowest $O (α_{s})$ perturbative calculation. We point out that the soft-gluon-emission effects in the coefficient $ξ (Q_{T}, M)$ are deeply related to the derivative by ${Q_{T}}^{2}$ of the scale-violation effects in the parton distributions.

References (20)

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M. Hayashi, S. Homma, and K. Katsuura, J. Phys. Soc. Jpn. 50, 1427 (1981) J. Finjord, G. Girardi, M. Perrottet, and P. Sorba, Nucl. Phys. B185, 301 (1981) I. H. Dumbar and N. Dombey, Phys. Lett. 101B, 197 (1981) D. J. E. Callaway, University of Washington Report No. RLO-1388-869, 1981 (unpublished)
M. Chaichian, M. Hayashi, and K. Yamagishi, Phys. Rev. D 25, 130 (1982)
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[c1] S. Weinberg, Phys. Rev. Lett. 19, 1264 (1967) A. Salam, in Elementary Particle Theory: Relativistic Groups and Analyticity (Nobel Symposium No. 8), edited by N. Svartholm (Almqvist and Wiksell, Stockholm, 1968)

[c2] A. Astbury et al., proposal (for UA1 experiment) CERN/SPSC/78-06, SPSC/P92, 1978 (unpublished)

[c3] J. Kogut and J. Shigemitsu, Nucl. Phys. B129, 461 (1977) M. Chaichian, O. Dumbrajs, and M. Hayashi, Phys. Rev. D 20, 2873 (1979) P. Aurenche and J. Lindfors, Nucl. Phys. B185, 274 (1981)

[c4] M. Chaichian, M. Hayashi, and M. Roos, Phys. Rev. D 26, 1076 (1982)

[c5] M. Hayashi, S. Homma, and K. Katsuura, J. Phys. Soc. Jpn. 50, 1427 (1981) J. Finjord, G. Girardi, M. Perrottet, and P. Sorba, Nucl. Phys. B185, 301 (1981) I. H. Dumbar and N. Dombey, Phys. Lett. 101B, 197 (1981) D. J. E. Callaway, University of Washington Report No. RLO-1388-869, 1981 (unpublished)

[c6] M. Chaichian, M. Hayashi, and K. Yamagishi, Phys. Rev. D 25, 130 (1982)

[c7] A. J. Buras, in Proceedings of the 1981 International Symposium on Lepton and Photon Interactions at High Energies, Bonn, edited by W. Pfeil (Universität Bonn, Bonn, 1981)

[c8] Y. L. Dokshitzer, D. I. D'Yakonov, and S. I. Troyan, Phys. Lett. 78B, 290 (1978) ibid.79B, 269 (1978) Phys. Rep. 58C, 269 (1980)

[c9] K. Kajantie and J. Lindfors, Nucl. Phys. B146, 465 (1978) F. Halzen and D. M. Scott, Phys. Rev. D 21, 131 (1980)

[c10] G. Parisi and R. Petronzio, Nucl. Phys. B154, 427 (1979)

[c11] J. C. Collins, Phys. Rev. D 22, 1478 (1980)

[c12] S. D. Ellis and W. J. Stirling, Phys. Rev. D 23, 214 (1981) C. Y. Lo and J. D. Sullivan, Phys. Lett. 86B, 327 (1979)

[c13] P. E. L. Rakow and B. R. Webber, Nucl. Phys. B187, 254 (1981)

[c14] J. C. Collins and D. E. Soper, Nucl. Phys. B193, 381 (1981)

[c15] V. V. Sudakov, Zh. Eksp. Teor. Fiz. 30, 187 (1956) [Sov. Phys. JETP 3, 65 (1956)]

[c16] ([6]) Collins-Soper ([17])

[c17] J. C. Collins and D. E. Soper, Phys. Rev. D 16, 2219 (1977)

[c18] P. Chiappetta and M. Greco, Phys. Lett. 106B, 219 (1981)

[c19] M. Glück and E. Reya, Nucl. Phys. B130, 91 (1977) J. E. Owens and E. Reya, Phys. Rev. D 17, 3003 (1978)

[c20] D. Alberto, W. J. Marciano, D. Wyler, and Z. Parsa, Nucl. Phys. B166, 460 (1980)

Physical Review D

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Effects of soft-gluon emission on the angular distributions of high-mass dileptons

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