Supersymmetric electroweak radiative corrections to <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mi mathvariant="italic">e</mi></mrow><mrow><mo>+</mo></mrow></msup></mrow></math><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mi mathvariant="italic">e</mi></mrow><mrow><mi mathvariant="normal">−</mi></mrow></msup></mrow></math>→<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mi mathvariant="italic">W</mi></mrow><mrow><mo>+</mo></mrow></msup></mrow></math><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mi mathvariant="italic">W</mi></mrow><mrow><mi mathvariant="normal">−</mi></mrow></msup></mrow></math>. I

S. Alam

doi:10.1103/PhysRevD.50.124

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Supersymmetric electroweak radiative corrections to $e^{+}$ $e^{-}$ → $W^{+}$ $W^{-}$ . I

S. Alam

Ottawa Carleton Institute for Physics, Carleton University, Ottawa, Ontario, Canada K1N 9B4

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Phys. Rev. D 50, 124 – Published 1 July, 1994

DOI: https://doi.org/10.1103/PhysRevD.50.124

Abstract

This is the first of a series of three papers in which we give a complete analysis of one loop quantum corrections to the W pair production in the context of supersymmetric electroweak theory. We have adopted the on-mass-shell subtraction scheme of Sakakibara and previously demonstrated the consistency of this scheme. The relevant analytic results are given, and the one-loop-corrected differential cross section incorporating the finite corrections is written out. A complete computer program for the calculations of these corrections has been developed. This program has been checked in several ways to ensure against errors in this long calculation where many subtle cancellations are involved. In this paper we give an outline of our model, sketch our renormalization procedure, and give analytic and numerical results for the self-energy insertions, wave function renormalization, and soft-photon bremsstrahlung. We find that the percentage (with respect to the tree-level) of virtual loop corrections (considered in this paper) due to the addition of SUSY particles varies approximately from -5.93% to -5.21%. As a comparison the percentage virtual corrections due to self-energy insertions and wave function renormalization in the SM varies typically from 27.9% to 20.3%. The SM total percentage virtual loop corrections varies typically from 17.4% to 19%. The above comparison is made at the same center-of-mass energy (200 GeV). The first percentage in this comparison is for center-of-mass angles of 10°, the second being at 90°.

References (26)

Physics at LEP I, Proceedings of the Workshop, Geneva, Switzerland, 1989, edited by G. Altarelli, R. Kleiss, and C. Verzegnassi (CERN Report No. 89 08, Geneva, 1989), Vols. 1 and 3.
H.E. Haber and G.L. Kane, Phys. Rep. 117, 75 (1985); see also J.F. Gunion, H.E. Haber, G. Kane, and S. Dawson, The Higgs Hunter's Guide (Addison Wesley, Reading, MA, 1990).
Proceedings of the ECFA Workshop on LEP 200, Aachen, West Germany, 1986, edited by A. Bohm and W. Hoogland (CERN Report No. 87 08, Geneva, Switzerland, 1987).
V. Barger and R. Phillips, Collider Physics (Addison Wesley, Reading, MA, 1987).
J. Baily et al., Nucl. Phys. B150, 1 (1979).
R. Bates, J.N. Ng and P. Kalyniak, Phys. Rev. D 34, 172 (1986); P. Kalyniak, R. Bates and J. Ng, ibid. 33, 755 (1986).
S. Alam, Phys. Rev. D 39, 2801 (1989), and references therein.
J.A. Grifols et al., Nucl. Phys. B253, 4756 (1985).
K. Schwarzer, Oxford University Report No. 40/84, 1984 (unpublished).
B.W. Lynn, Report No. SLAC PUB 3358, 1984 (unpublished).
S. Alam, Ph.D. thesis, Ottawa Carleton Institute for Physics, 1992; P. Kalyniak and M.K. Sundaresan, Int. J. of Mod. Phy. A 3, 2101 (1988); S. Alam, J. Sci. Technol. (to be published).
M. Lemoine and M. Veltman, Nucl. Phys. B164, 445 (1980).
R. Philippe, Phys. Rev. D 26, 1588 (1982).
M. Bohm et al., Nucl. Phys. B304, 463 (1988).
J. Fleischer et al., Z. Phys. C 42, 409 (1989).
Particle Data Group, J.J. Hernández et al., Phys. Lett. B 239, 1 (1990).
J.D. Bjorken and S.D. Drell, Relativistic Quantum Mechanics (McGraw Hill, New York, 1964).
B. De Wit and D. Z. Freedman, Phys. Rev. D 12, 2286 (1975).
S. Alam, following paper, Phys. Rev. D 50, 148 (1994).
S. Alam, this issue, Phys. Rev. D 50, 174 (1994).
H. Baer, M. Drees and X. Tata, Phys. Rev. D 41, 3414 (1990).
W. Alles et al., Nucl. Phys. B119, 125 (1977).
S. Sakakibara, Phys. Rev. D 24, 1149 (1981); also in Workshop on Radiative Corrections in SU(2 $)_{L}$ ×U(1 $)_{Y}$ , Proceedings of the Workshop, Trieste, Italy, 1993, edited by B.W. Lynn and J.F. Wheater (World Scientific, Singapore, 1994).
G. Passarino and M. Veltman, Nucl. Phys. B160, 151 (1979).
G. 't Hooft and M. Veltman, Nucl. Phys. B153, 365 (1979).
G. Ross, Grand Unified Theories (Benjamin/Cummings, New York, 1985).

[c1] Physics at LEP I, Proceedings of the Workshop, Geneva, Switzerland, 1989, edited by G. Altarelli, R. Kleiss, and C. Verzegnassi (CERN Report No. 89 08, Geneva, 1989), Vols. 1 and 3.

[c2] H.E. Haber and G.L. Kane, Phys. Rep. 117, 75 (1985); see also J.F. Gunion, H.E. Haber, G. Kane, and S. Dawson, The Higgs Hunter's Guide (Addison Wesley, Reading, MA, 1990).

[c3] Proceedings of the ECFA Workshop on LEP 200, Aachen, West Germany, 1986, edited by A. Bohm and W. Hoogland (CERN Report No. 87 08, Geneva, Switzerland, 1987).

[c4] V. Barger and R. Phillips, Collider Physics (Addison Wesley, Reading, MA, 1987).

[c5] J. Baily et al., Nucl. Phys. B150, 1 (1979).

[c6] R. Bates, J.N. Ng and P. Kalyniak, Phys. Rev. D 34, 172 (1986); P. Kalyniak, R. Bates and J. Ng, ibid. 33, 755 (1986).

[c7] S. Alam, Phys. Rev. D 39, 2801 (1989), and references therein.

[c8] J.A. Grifols et al., Nucl. Phys. B253, 4756 (1985).

[c9] K. Schwarzer, Oxford University Report No. 40/84, 1984 (unpublished).

[c10] B.W. Lynn, Report No. SLAC PUB 3358, 1984 (unpublished).

[c11] S. Alam, Ph.D. thesis, Ottawa Carleton Institute for Physics, 1992; P. Kalyniak and M.K. Sundaresan, Int. J. of Mod. Phy. A 3, 2101 (1988); S. Alam, J. Sci. Technol. (to be published).

[c12] M. Lemoine and M. Veltman, Nucl. Phys. B164, 445 (1980).

[c13] R. Philippe, Phys. Rev. D 26, 1588 (1982).

[c14] M. Bohm et al., Nucl. Phys. B304, 463 (1988).

[c15] J. Fleischer et al., Z. Phys. C 42, 409 (1989).

[c16] Particle Data Group, J.J. Hernández et al., Phys. Lett. B 239, 1 (1990).

[c17] J.D. Bjorken and S.D. Drell, Relativistic Quantum Mechanics (McGraw Hill, New York, 1964).

[c18] B. De Wit and D. Z. Freedman, Phys. Rev. D 12, 2286 (1975).

[c19] S. Alam, following paper, Phys. Rev. D 50, 148 (1994).

[c20] S. Alam, this issue, Phys. Rev. D 50, 174 (1994).

[c21] H. Baer, M. Drees and X. Tata, Phys. Rev. D 41, 3414 (1990).

[c22] W. Alles et al., Nucl. Phys. B119, 125 (1977).

[c23] S. Sakakibara, Phys. Rev. D 24, 1149 (1981); also in Workshop on Radiative Corrections in SU(2 $)_{L}$ ×U(1 $)_{Y}$ , Proceedings of the Workshop, Trieste, Italy, 1993, edited by B.W. Lynn and J.F. Wheater (World Scientific, Singapore, 1994).

[c24] G. Passarino and M. Veltman, Nucl. Phys. B160, 151 (1979).

[c25] G. 't Hooft and M. Veltman, Nucl. Phys. B153, 365 (1979).

[c26] G. Ross, Grand Unified Theories (Benjamin/Cummings, New York, 1985).

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Supersymmetric electroweak radiative corrections to $e^{+}$ $e^{-}$ → $W^{+}$ $W^{-}$ . I

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Supersymmetric electroweak radiative corrections to e+e−→W+W−. I

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References (26)

Supersymmetric electroweak radiative corrections to $e^{+}$ $e^{-}$ → $W^{+}$ $W^{-}$ . I