Implications of LEP and SLD data for new physics in Zbb̄ couplings

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 61, Issue 7, 2000, Pages 1-7

  Oakes, Robert J ^a   Yang, Jin Min ^b,c   Young, Bing Lin ^d  

^a NORTHWESTERN UNIVERSITY   (United States)

^b TOHOKU UNIVERSITY   (Japan)

^c INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

^d IOWA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 17044371486     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.61.075007     Document Type: Article

References (45)

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2. Super Kamiokande Collaboration, Y. Fukuda et al., Phys. Rev. Lett. 81, 1562 (1998); T. Kajita, talk at Neutrino '98, Takayama, Japan, 1998. For recent reviews, see J. M. Conard, summary talk at ICHEP '98, hep-ex/981109; R. D. Peccei, hep-ph/9906509; H. Robertson, "Neutrino Mass and Oscillations," talk presented at Lepton-Photon'99, http://www-sldnt.slac.stanford.edu/lp99/pdf/33.pdf.
3. Super Kamiokande Collaboration, Y. Fukuda et al., Phys. Rev. Lett. 81, 1562 (1998); T. Kajita, talk at Neutrino '98, Takayama, Japan, 1998. For recent reviews, see J. M. Conard, summary talk at ICHEP '98, hep-ex/981109; R. D. Peccei, hep-ph/9906509; H. Robertson, "Neutrino Mass and Oscillations," talk presented at Lepton-Photon'99, http://www-sldnt.slac.stanford.edu/lp99/pdf/33.pdf.
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6. For reviews of electroweak theory versus experiment, see, for example, W. J. Marciano, hep-ph/9902332; J. Erler and P. Langacker, hep-ph/9809352; W. Hollik, hep-ph/9811313; J. H. Field, Phys. Rev. D 58, 093010 (1998); J. Erler, hep-ph/9904235.
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11. For Zbb̄ coupling in R-parity conserving SUSY, see A. Djouadi, G. Girardi, C. Verzegnassi, W. Hollik, and F. M. Renard, Nucl. Phys. B349, 48 (1991); M. Boulware and D. Finnell, Phys. Rev. D 44, 2054 (1991); C. S. Li, J. M. Yang, and B. Q. Hu, Commun. Theor. Phys. 20, 213 (1993); For R-parity violating contributions, see J. M. Yang, hep-ph/9905486; G. Bhattacharyya, J. Ellis, and K. Sridhar, Mod. Phys. Lett. A 10, 1583 (1995); G. Bhattacharyya, D. Choudhury, and K. Sridhar, Phys. Lett. B 355, 193 (1995).
12. For Zbb̄ coupling in R-parity conserving SUSY, see A. Djouadi, G. Girardi, C. Verzegnassi, W. Hollik, and F. M. Renard, Nucl. Phys. B349, 48 (1991); M. Boulware and D. Finnell, Phys. Rev. D 44, 2054 (1991); C. S. Li, J. M. Yang, and B. Q. Hu, Commun. Theor. Phys. 20, 213 (1993); For R-parity violating contributions, see J. M. Yang, hep-ph/9905486; G. Bhattacharyya, J. Ellis, and K. Sridhar, Mod. Phys. Lett. A 10, 1583 (1995); G. Bhattacharyya, D. Choudhury, and K. Sridhar, Phys. Lett. B 355, 193 (1995).
13. For Zbb̄ coupling in R-parity conserving SUSY, see A. Djouadi, G. Girardi, C. Verzegnassi, W. Hollik, and F. M. Renard, Nucl. Phys. B349, 48 (1991); M. Boulware and D. Finnell, Phys. Rev. D 44, 2054 (1991); C. S. Li, J. M. Yang, and B. Q. Hu, Commun. Theor. Phys. 20, 213 (1993); For R-parity violating contributions, see J. M. Yang, hep-ph/9905486; G. Bhattacharyya, J. Ellis, and K. Sridhar, Mod. Phys. Lett. A 10, 1583 (1995); G. Bhattacharyya, D. Choudhury, and K. Sridhar, Phys. Lett. B 355, 193 (1995).
14. For Zbb̄ coupling in R-parity conserving SUSY, see A. Djouadi, G. Girardi, C. Verzegnassi, W. Hollik, and F. M. Renard, Nucl. Phys. B349, 48 (1991); M. Boulware and D. Finnell, Phys. Rev. D 44, 2054 (1991); C. S. Li, J. M. Yang, and B. Q. Hu, Commun. Theor. Phys. 20, 213 (1993); For R-parity violating contributions, see J. M. Yang, hep-ph/9905486; G. Bhattacharyya, J. Ellis, and K. Sridhar, Mod. Phys. Lett. A 10, 1583 (1995); G. Bhattacharyya, D. Choudhury, and K. Sridhar, Phys. Lett. B 355, 193 (1995).
15. See, e.g., E. Malkawi and C.-P. Yuan, Phys. Rev. D 61, 015007 (2000).
16. K. Whisnant, J. M. Yang, Bing-Lin Young, and X. Zhang, Phys. Rev. D 56, 467 (1997); G. J. Gounaris, D. T. Papadamou, and F. M. Renard, Z. Phys. C 76, 333 (1997); G. J. Gounaris, F. M. Renard, and C. Verzegnassi, Phys. Rev. D 52, 451 (1995). For earlier studies on effective Lagrangian, see, e.g., C. J. C. Burgess and H. J. Schnitzer, Nucl. Phys. B228, 454 (1983); C. N. Leung, S. T. Love, and S. Rao, Z. Phys. C 31, 433 (1986); W. Buchmuller and D. Wyler, Nucl. Phys. B268, 621 (1986).
17. K. Whisnant, J. M. Yang, Bing-Lin Young, and X. Zhang, Phys. Rev. D 56, 467 (1997); G. J. Gounaris, D. T. Papadamou, and F. M. Renard, Z. Phys. C 76, 333 (1997); G. J. Gounaris, F. M. Renard, and C. Verzegnassi, Phys. Rev. D 52, 451 (1995). For earlier studies on effective Lagrangian, see, e.g., C. J. C. Burgess and H. J. Schnitzer, Nucl. Phys. B228, 454 (1983); C. N. Leung, S. T. Love, and S. Rao, Z. Phys. C 31, 433 (1986); W. Buchmuller and D. Wyler, Nucl. Phys. B268, 621 (1986).
18. K. Whisnant, J. M. Yang, Bing-Lin Young, and X. Zhang, Phys. Rev. D 56, 467 (1997); G. J. Gounaris, D. T. Papadamou, and F. M. Renard, Z. Phys. C 76, 333 (1997); G. J. Gounaris, F. M. Renard, and C. Verzegnassi, Phys. Rev. D 52, 451 (1995). For earlier studies on effective Lagrangian, see, e.g., C. J. C. Burgess and H. J. Schnitzer, Nucl. Phys. B228, 454 (1983); C. N. Leung, S. T. Love, and S. Rao, Z. Phys. C 31, 433 (1986); W. Buchmuller and D. Wyler, Nucl. Phys. B268, 621 (1986).
19. K. Whisnant, J. M. Yang, Bing-Lin Young, and X. Zhang, Phys. Rev. D 56, 467 (1997); G. J. Gounaris, D. T. Papadamou, and F. M. Renard, Z. Phys. C 76, 333 (1997); G. J. Gounaris, F. M. Renard, and C. Verzegnassi, Phys. Rev. D 52, 451 (1995). For earlier studies on effective Lagrangian, see, e.g., C. J. C. Burgess and H. J. Schnitzer, Nucl. Phys. B228, 454 (1983); C. N. Leung, S. T. Love, and S. Rao, Z. Phys. C 31, 433 (1986); W. Buchmuller and D. Wyler, Nucl. Phys. B268, 621 (1986).
20. K. Whisnant, J. M. Yang, Bing-Lin Young, and X. Zhang, Phys. Rev. D 56, 467 (1997); G. J. Gounaris, D. T. Papadamou, and F. M. Renard, Z. Phys. C 76, 333 (1997); G. J. Gounaris, F. M. Renard, and C. Verzegnassi, Phys. Rev. D 52, 451 (1995). For earlier studies on effective Lagrangian, see, e.g., C. J. C. Burgess and H. J. Schnitzer, Nucl. Phys. B228, 454 (1983); C. N. Leung, S. T. Love, and S. Rao, Z. Phys. C 31, 433 (1986); W. Buchmuller and D. Wyler, Nucl. Phys. B268, 621 (1986).
21. K. Whisnant, J. M. Yang, Bing-Lin Young, and X. Zhang, Phys. Rev. D 56, 467 (1997); G. J. Gounaris, D. T. Papadamou, and F. M. Renard, Z. Phys. C 76, 333 (1997); G. J. Gounaris, F. M. Renard, and C. Verzegnassi, Phys. Rev. D 52, 451 (1995). For earlier studies on effective Lagrangian, see, e.g., C. J. C. Burgess and H. J. Schnitzer, Nucl. Phys. B228, 454 (1983); C. N. Leung, S. T. Love, and S. Rao, Z. Phys. C 31, 433 (1986); W. Buchmuller and D. Wyler, Nucl. Phys. B268, 621 (1986).
22. For CP-violating ones, see J. M. Yang and Bing-Lin Young, Phys. Rev. D 56, 5907 (1997).
23. J. H. Field, Mod. Phys. Lett. A 14, 1815 (1999).
24. H. L. Lai et al., Phys. Rev. D 51, 4763 (1995).
25. A. Datta, K. Whisnant, Bing-Lin Young, and X. Zhang, Phys. Rev. D 57, 364 (1998); also see the second reference in [9].
26. OPAL Collaboration, OPAL Physics Note No. PN380, 1999, web address: http://www.cern.ch/Opal/pubs/pn/html/ pn380.html
27. See, e.g., M. E. Peskin, Report No. SLAC-PUB-5798, 1992.
28. For the study of this process, see S. Willenbrock and D. Dicus, Phys. Rev. D 34, 155 (1986); S. Dawson and S. Willenbrock, Nucl. Phys. B284, 449 (1987); C.-P. Yuan, Phys. Rev. D 41, 42 (1990); F. Anselmo, B. van Eijk, and G. Bordes, ibid. 45, 2312 (1992); R. K. Ellis and S. Parke, ibid. 46, 3785 (1992); D. Carlson and C.-P. Yuan, Phys. Lett. B 306, 386 (1993); E. Malkawi and C.-P. Yuan, Phys. Rev. D 50, 4462 (1994); G. Bordes and B. van Eijk, Nucl. Phys. B435, 23 (1995); A. Heinson, A. Belyaev, and E. Boos, Phys. Rev. D 56, 3114 (1997); T. Stelzer and S. Willenbrock, Phys. Lett. B 357, 125 (1995); M. Smith and S. Willenbrock, Phys. Rev. D 54, 6696 (1996); S. Mrenna and C.-P. Yuan, Phys. Lett. B 416, 200 (1998); T. Tait and C.-P. Yuan, hep-ph/9710372; E. H. Simmons, Phys. Rev. D 55, 5494 (1997); C. S. Li, R. J. Oakes, and J. M. Yang, ibid. 55, 1672 (1997); 55, 5780 (1997); A. Datta et al., ibid. 56, 3107 (1997); R. J. Oakes, K. Whisnant, J. M. Yang, Bing-Lin Young, and X. Zhang, ibid. 57, 534 (1998).
29. For the study of this process, see S. Willenbrock and D. Dicus, Phys. Rev. D 34, 155 (1986); S. Dawson and S. Willenbrock, Nucl. Phys. B284, 449 (1987); C.-P. Yuan, Phys. Rev. D 41, 42 (1990); F. Anselmo, B. van Eijk, and G. Bordes, ibid. 45, 2312 (1992); R. K. Ellis and S. Parke, ibid. 46, 3785 (1992); D. Carlson and C.-P. Yuan, Phys. Lett. B 306, 386 (1993); E. Malkawi and C.-P. Yuan, Phys. Rev. D 50, 4462 (1994); G. Bordes and B. van Eijk, Nucl. Phys. B435, 23 (1995); A. Heinson, A. Belyaev, and E. Boos, Phys. Rev. D 56, 3114 (1997); T. Stelzer and S. Willenbrock, Phys. Lett. B 357, 125 (1995); M. Smith and S. Willenbrock, Phys. Rev. D 54, 6696 (1996); S. Mrenna and C.-P. Yuan, Phys. Lett. B 416, 200 (1998); T. Tait and C.-P. Yuan, hep-ph/9710372; E. H. Simmons, Phys. Rev. D 55, 5494 (1997); C. S. Li, R. J. Oakes, and J. M. Yang, ibid. 55, 1672 (1997); 55, 5780 (1997); A. Datta et al., ibid. 56, 3107 (1997); R. J. Oakes, K. Whisnant, J. M. Yang, Bing-Lin Young, and X. Zhang, ibid. 57, 534 (1998).
30. For the study of this process, see S. Willenbrock and D. Dicus, Phys. Rev. D 34, 155 (1986); S. Dawson and S. Willenbrock, Nucl. Phys. B284, 449 (1987); C.-P. Yuan, Phys. Rev. D 41, 42 (1990); F. Anselmo, B. van Eijk, and G. Bordes, ibid. 45, 2312 (1992); R. K. Ellis and S. Parke, ibid. 46, 3785 (1992); D. Carlson and C.-P. Yuan, Phys. Lett. B 306, 386 (1993); E. Malkawi and C.-P. Yuan, Phys. Rev. D 50, 4462 (1994); G. Bordes and B. van Eijk, Nucl. Phys. B435, 23 (1995); A. Heinson, A. Belyaev, and E. Boos, Phys. Rev. D 56, 3114 (1997); T. Stelzer and S. Willenbrock, Phys. Lett. B 357, 125 (1995); M. Smith and S. Willenbrock, Phys. Rev. D 54, 6696 (1996); S. Mrenna and C.-P. Yuan, Phys. Lett. B 416, 200 (1998); T. Tait and C.-P. Yuan, hep-ph/9710372; E. H. Simmons, Phys. Rev. D 55, 5494 (1997); C. S. Li, R. J. Oakes, and J. M. Yang, ibid. 55, 1672 (1997); 55, 5780 (1997); A. Datta et al., ibid. 56, 3107 (1997); R. J. Oakes, K. Whisnant, J. M. Yang, Bing-Lin Young, and X. Zhang, ibid. 57, 534 (1998).
31. For the study of this process, see S. Willenbrock and D. Dicus, Phys. Rev. D 34, 155 (1986); S. Dawson and S. Willenbrock, Nucl. Phys. B284, 449 (1987); C.-P. Yuan, Phys. Rev. D 41, 42 (1990); F. Anselmo, B. van Eijk, and G. Bordes, ibid. 45, 2312 (1992); R. K. Ellis and S. Parke, ibid. 46, 3785 (1992); D. Carlson and C.-P. Yuan, Phys. Lett. B 306, 386 (1993); E. Malkawi and C.-P. Yuan, Phys. Rev. D 50, 4462 (1994); G. Bordes and B. van Eijk, Nucl. Phys. B435, 23 (1995); A. Heinson, A. Belyaev, and E. Boos, Phys. Rev. D 56, 3114 (1997); T. Stelzer and S. Willenbrock, Phys. Lett. B 357, 125 (1995); M. Smith and S. Willenbrock, Phys. Rev. D 54, 6696 (1996); S. Mrenna and C.-P. Yuan, Phys. Lett. B 416, 200 (1998); T. Tait and C.-P. Yuan, hep-ph/9710372; E. H. Simmons, Phys. Rev. D 55, 5494 (1997); C. S. Li, R. J. Oakes, and J. M. Yang, ibid. 55, 1672 (1997); 55, 5780 (1997); A. Datta et al., ibid. 56, 3107 (1997); R. J. Oakes, K. Whisnant, J. M. Yang, Bing-Lin Young, and X. Zhang, ibid. 57, 534 (1998).
32. For the study of this process, see S. Willenbrock and D. Dicus, Phys. Rev. D 34, 155 (1986); S. Dawson and S. Willenbrock, Nucl. Phys. B284, 449 (1987); C.-P. Yuan, Phys. Rev. D 41, 42 (1990); F. Anselmo, B. van Eijk, and G. Bordes, ibid. 45, 2312 (1992); R. K. Ellis and S. Parke, ibid. 46, 3785 (1992); D. Carlson and C.-P. Yuan, Phys. Lett. B 306, 386 (1993); E. Malkawi and C.-P. Yuan, Phys. Rev. D 50, 4462 (1994); G. Bordes and B. van Eijk, Nucl. Phys. B435, 23 (1995); A. Heinson, A. Belyaev, and E. Boos, Phys. Rev. D 56, 3114 (1997); T. Stelzer and S. Willenbrock, Phys. Lett. B 357, 125 (1995); M. Smith and S. Willenbrock, Phys. Rev. D 54, 6696 (1996); S. Mrenna and C.-P. Yuan, Phys. Lett. B 416, 200 (1998); T. Tait and C.-P. Yuan, hep-ph/9710372; E. H. Simmons, Phys. Rev. D 55, 5494 (1997); C. S. Li, R. J. Oakes, and J. M. Yang, ibid. 55, 1672 (1997); 55, 5780 (1997); A. Datta et al., ibid. 56, 3107 (1997); R. J. Oakes, K. Whisnant, J. M. Yang, Bing-Lin Young, and X. Zhang, ibid. 57, 534 (1998).
33. For the study of this process, see S. Willenbrock and D. Dicus, Phys. Rev. D 34, 155 (1986); S. Dawson and S. Willenbrock, Nucl. Phys. B284, 449 (1987); C.-P. Yuan, Phys. Rev. D 41, 42 (1990); F. Anselmo, B. van Eijk, and G. Bordes, ibid. 45, 2312 (1992); R. K. Ellis and S. Parke, ibid. 46, 3785 (1992); D. Carlson and C.-P. Yuan, Phys. Lett. B 306, 386 (1993); E. Malkawi and C.-P. Yuan, Phys. Rev. D 50, 4462 (1994); G. Bordes and B. van Eijk, Nucl. Phys. B435, 23 (1995); A. Heinson, A. Belyaev, and E. Boos, Phys. Rev. D 56, 3114 (1997); T. Stelzer and S. Willenbrock, Phys. Lett. B 357, 125 (1995); M. Smith and S. Willenbrock, Phys. Rev. D 54, 6696 (1996); S. Mrenna and C.-P. Yuan, Phys. Lett. B 416, 200 (1998); T. Tait and C.-P. Yuan, hep-ph/9710372; E. H. Simmons, Phys. Rev. D 55, 5494 (1997); C. S. Li, R. J. Oakes, and J. M. Yang, ibid. 55, 1672 (1997); 55, 5780 (1997); A. Datta et al., ibid. 56, 3107 (1997); R. J. Oakes, K. Whisnant, J. M. Yang, Bing-Lin Young, and X. Zhang, ibid. 57, 534 (1998).
34. For the study of this process, see S. Willenbrock and D. Dicus, Phys. Rev. D 34, 155 (1986); S. Dawson and S. Willenbrock, Nucl. Phys. B284, 449 (1987); C.-P. Yuan, Phys. Rev. D 41, 42 (1990); F. Anselmo, B. van Eijk, and G. Bordes, ibid. 45, 2312 (1992); R. K. Ellis and S. Parke, ibid. 46, 3785 (1992); D. Carlson and C.-P. Yuan, Phys. Lett. B 306, 386 (1993); E. Malkawi and C.-P. Yuan, Phys. Rev. D 50, 4462 (1994); G. Bordes and B. van Eijk, Nucl. Phys. B435, 23 (1995); A. Heinson, A. Belyaev, and E. Boos, Phys. Rev. D 56, 3114 (1997); T. Stelzer and S. Willenbrock, Phys. Lett. B 357, 125 (1995); M. Smith and S. Willenbrock, Phys. Rev. D 54, 6696 (1996); S. Mrenna and C.-P. Yuan, Phys. Lett. B 416, 200 (1998); T. Tait and C.-P. Yuan, hep-ph/9710372; E. H. Simmons, Phys. Rev. D 55, 5494 (1997); C. S. Li, R. J. Oakes, and J. M. Yang, ibid. 55, 1672 (1997); 55, 5780 (1997); A. Datta et al., ibid. 56, 3107 (1997); R. J. Oakes, K. Whisnant, J. M. Yang, Bing-Lin Young, and X. Zhang, ibid. 57, 534 (1998).
35. For the study of this process, see S. Willenbrock and D. Dicus, Phys. Rev. D 34, 155 (1986); S. Dawson and S. Willenbrock, Nucl. Phys. B284, 449 (1987); C.-P. Yuan, Phys. Rev. D 41, 42 (1990); F. Anselmo, B. van Eijk, and G. Bordes, ibid. 45, 2312 (1992); R. K. Ellis and S. Parke, ibid. 46, 3785 (1992); D. Carlson and C.-P. Yuan, Phys. Lett. B 306, 386 (1993); E. Malkawi and C.-P. Yuan, Phys. Rev. D 50, 4462 (1994); G. Bordes and B. van Eijk, Nucl. Phys. B435, 23 (1995); A. Heinson, A. Belyaev, and E. Boos, Phys. Rev. D 56, 3114 (1997); T. Stelzer and S. Willenbrock, Phys. Lett. B 357, 125 (1995); M. Smith and S. Willenbrock, Phys. Rev. D 54, 6696 (1996); S. Mrenna and C.-P. Yuan, Phys. Lett. B 416, 200 (1998); T. Tait and C.-P. Yuan, hep-ph/9710372; E. H. Simmons, Phys. Rev. D 55, 5494 (1997); C. S. Li, R. J. Oakes, and J. M. Yang, ibid. 55, 1672 (1997); 55, 5780 (1997); A. Datta et al., ibid. 56, 3107 (1997); R. J. Oakes, K. Whisnant, J. M. Yang, Bing-Lin Young, and X. Zhang, ibid. 57, 534 (1998).
36. For the study of this process, see S. Willenbrock and D. Dicus, Phys. Rev. D 34, 155 (1986); S. Dawson and S. Willenbrock, Nucl. Phys. B284, 449 (1987); C.-P. Yuan, Phys. Rev. D 41, 42 (1990); F. Anselmo, B. van Eijk, and G. Bordes, ibid. 45, 2312 (1992); R. K. Ellis and S. Parke, ibid. 46, 3785 (1992); D. Carlson and C.-P. Yuan, Phys. Lett. B 306, 386 (1993); E. Malkawi and C.-P. Yuan, Phys. Rev. D 50, 4462 (1994); G. Bordes and B. van Eijk, Nucl. Phys. B435, 23 (1995); A. Heinson, A. Belyaev, and E. Boos, Phys. Rev. D 56, 3114 (1997); T. Stelzer and S. Willenbrock, Phys. Lett. B 357, 125 (1995); M. Smith and S. Willenbrock, Phys. Rev. D 54, 6696 (1996); S. Mrenna and C.-P. Yuan, Phys. Lett. B 416, 200 (1998); T. Tait and C.-P. Yuan, hep-ph/9710372; E. H. Simmons, Phys. Rev. D 55, 5494 (1997); C. S. Li, R. J. Oakes, and J. M. Yang, ibid. 55, 1672 (1997); 55, 5780 (1997); A. Datta et al., ibid. 56, 3107 (1997); R. J. Oakes, K. Whisnant, J. M. Yang, Bing-Lin Young, and X. Zhang, ibid. 57, 534 (1998).
37. For the study of this process, see S. Willenbrock and D. Dicus, Phys. Rev. D 34, 155 (1986); S. Dawson and S. Willenbrock, Nucl. Phys. B284, 449 (1987); C.-P. Yuan, Phys. Rev. D 41, 42 (1990); F. Anselmo, B. van Eijk, and G. Bordes, ibid. 45, 2312 (1992); R. K. Ellis and S. Parke, ibid. 46, 3785 (1992); D. Carlson and C.-P. Yuan, Phys. Lett. B 306, 386 (1993); E. Malkawi and C.-P. Yuan, Phys. Rev. D 50, 4462 (1994); G. Bordes and B. van Eijk, Nucl. Phys. B435, 23 (1995); A. Heinson, A. Belyaev, and E. Boos, Phys. Rev. D 56, 3114 (1997); T. Stelzer and S. Willenbrock, Phys. Lett. B 357, 125 (1995); M. Smith and S. Willenbrock, Phys. Rev. D 54, 6696 (1996); S. Mrenna and C.-P. Yuan, Phys. Lett. B 416, 200 (1998); T. Tait and C.-P. Yuan, hep-ph/9710372; E. H. Simmons, Phys. Rev. D 55, 5494 (1997); C. S. Li, R. J. Oakes, and J. M. Yang, ibid. 55, 1672 (1997); 55, 5780 (1997); A. Datta et al., ibid. 56, 3107 (1997); R. J. Oakes, K. Whisnant, J. M. Yang, Bing-Lin Young, and X. Zhang, ibid. 57, 534 (1998).
38. For the study of this process, see S. Willenbrock and D. Dicus, Phys. Rev. D 34, 155 (1986); S. Dawson and S. Willenbrock, Nucl. Phys. B284, 449 (1987); C.-P. Yuan, Phys. Rev. D 41, 42 (1990); F. Anselmo, B. van Eijk, and G. Bordes, ibid. 45, 2312 (1992); R. K. Ellis and S. Parke, ibid. 46, 3785 (1992); D. Carlson and C.-P. Yuan, Phys. Lett. B 306, 386 (1993); E. Malkawi and C.-P. Yuan, Phys. Rev. D 50, 4462 (1994); G. Bordes and B. van Eijk, Nucl. Phys. B435, 23 (1995); A. Heinson, A. Belyaev, and E. Boos, Phys. Rev. D 56, 3114 (1997); T. Stelzer and S. Willenbrock, Phys. Lett. B 357, 125 (1995); M. Smith and S. Willenbrock, Phys. Rev. D 54, 6696 (1996); S. Mrenna and C.-P. Yuan, Phys. Lett. B 416, 200 (1998); T. Tait and C.-P. Yuan, hep-ph/9710372; E. H. Simmons, Phys. Rev. D 55, 5494 (1997); C. S. Li, R. J. Oakes, and J. M. Yang, ibid. 55, 1672 (1997); 55, 5780 (1997); A. Datta et al., ibid. 56, 3107 (1997); R. J. Oakes, K. Whisnant, J. M. Yang, Bing-Lin Young, and X. Zhang, ibid. 57, 534 (1998).
39. For the study of this process, see S. Willenbrock and D. Dicus, Phys. Rev. D 34, 155 (1986); S. Dawson and S. Willenbrock, Nucl. Phys. B284, 449 (1987); C.-P. Yuan, Phys. Rev. D 41, 42 (1990); F. Anselmo, B. van Eijk, and G. Bordes, ibid. 45, 2312 (1992); R. K. Ellis and S. Parke, ibid. 46, 3785 (1992); D. Carlson and C.-P. Yuan, Phys. Lett. B 306, 386 (1993); E. Malkawi and C.-P. Yuan, Phys. Rev. D 50, 4462 (1994); G. Bordes and B. van Eijk, Nucl. Phys. B435, 23 (1995); A. Heinson, A. Belyaev, and E. Boos, Phys. Rev. D 56, 3114 (1997); T. Stelzer and S. Willenbrock, Phys. Lett. B 357, 125 (1995); M. Smith and S. Willenbrock, Phys. Rev. D 54, 6696 (1996); S. Mrenna and C.-P. Yuan, Phys. Lett. B 416, 200 (1998); T. Tait and C.-P. Yuan, hep-ph/9710372; E. H. Simmons, Phys. Rev. D 55, 5494 (1997); C. S. Li, R. J. Oakes, and J. M. Yang, ibid. 55, 1672 (1997); 55, 5780 (1997); A. Datta et al., ibid. 56, 3107 (1997); R. J. Oakes, K. Whisnant, J. M. Yang, Bing-Lin Young, and X. Zhang, ibid. 57, 534 (1998).
40. For the study of this process, see S. Willenbrock and D. Dicus, Phys. Rev. D 34, 155 (1986); S. Dawson and S. Willenbrock, Nucl. Phys. B284, 449 (1987); C.-P. Yuan, Phys. Rev. D 41, 42 (1990); F. Anselmo, B. van Eijk, and G. Bordes, ibid. 45, 2312 (1992); R. K. Ellis and S. Parke, ibid. 46, 3785 (1992); D. Carlson and C.-P. Yuan, Phys. Lett. B 306, 386 (1993); E. Malkawi and C.-P. Yuan, Phys. Rev. D 50, 4462 (1994); G. Bordes and B. van Eijk, Nucl. Phys. B435, 23 (1995); A. Heinson, A. Belyaev, and E. Boos, Phys. Rev. D 56, 3114 (1997); T. Stelzer and S. Willenbrock, Phys. Lett. B 357, 125 (1995); M. Smith and S. Willenbrock, Phys. Rev. D 54, 6696 (1996); S. Mrenna and C.-P. Yuan, Phys. Lett. B 416, 200 (1998); T. Tait and C.-P. Yuan, hep-ph/9710372; E. H. Simmons, Phys. Rev. D 55, 5494 (1997); C. S. Li, R. J. Oakes, and J. M. Yang, ibid. 55, 1672 (1997); 55, 5780 (1997); A. Datta et al., ibid. 56, 3107 (1997); R. J. Oakes, K. Whisnant, J. M. Yang, Bing-Lin Young, and X. Zhang, ibid. 57, 534 (1998).
41. For the study of this process, see S. Willenbrock and D. Dicus, Phys. Rev. D 34, 155 (1986); S. Dawson and S. Willenbrock, Nucl. Phys. B284, 449 (1987); C.-P. Yuan, Phys. Rev. D 41, 42 (1990); F. Anselmo, B. van Eijk, and G. Bordes, ibid. 45, 2312 (1992); R. K. Ellis and S. Parke, ibid. 46, 3785 (1992); D. Carlson and C.-P. Yuan, Phys. Lett. B 306, 386 (1993); E. Malkawi and C.-P. Yuan, Phys. Rev. D 50, 4462 (1994); G. Bordes and B. van Eijk, Nucl. Phys. B435, 23 (1995); A. Heinson, A. Belyaev, and E. Boos, Phys. Rev. D 56, 3114 (1997); T. Stelzer and S. Willenbrock, Phys. Lett. B 357, 125 (1995); M. Smith and S. Willenbrock, Phys. Rev. D 54, 6696 (1996); S. Mrenna and C.-P. Yuan, Phys. Lett. B 416, 200 (1998); T. Tait and C.-P. Yuan, hep-ph/9710372; E. H. Simmons, Phys. Rev. D 55, 5494 (1997); C. S. Li, R. J. Oakes, and J. M. Yang, ibid. 55, 1672 (1997); 55, 5780 (1997); A. Datta et al., ibid. 56, 3107 (1997); R. J. Oakes, K. Whisnant, J. M. Yang, Bing-Lin Young, and X. Zhang, ibid. 57, 534 (1998).
42. For the study of this process, see S. Willenbrock and D. Dicus, Phys. Rev. D 34, 155 (1986); S. Dawson and S. Willenbrock, Nucl. Phys. B284, 449 (1987); C.-P. Yuan, Phys. Rev. D 41, 42 (1990); F. Anselmo, B. van Eijk, and G. Bordes, ibid. 45, 2312 (1992); R. K. Ellis and S. Parke, ibid. 46, 3785 (1992); D. Carlson and C.-P. Yuan, Phys. Lett. B 306, 386 (1993); E. Malkawi and C.-P. Yuan, Phys. Rev. D 50, 4462 (1994); G. Bordes and B. van Eijk, Nucl. Phys. B435, 23 (1995); A. Heinson, A. Belyaev, and E. Boos, Phys. Rev. D 56, 3114 (1997); T. Stelzer and S. Willenbrock, Phys. Lett. B 357, 125 (1995); M. Smith and S. Willenbrock, Phys. Rev. D 54, 6696 (1996); S. Mrenna and C.-P. Yuan, Phys. Lett. B 416, 200 (1998); T. Tait and C.-P. Yuan, hep-ph/9710372; E. H. Simmons, Phys. Rev. D 55, 5494 (1997); C. S. Li, R. J. Oakes, and J. M. Yang, ibid. 55, 1672 (1997); 55, 5780 (1997); A. Datta et al., ibid. 56, 3107 (1997); R. J. Oakes, K. Whisnant, J. M. Yang, Bing-Lin Young, and X. Zhang, ibid. 57, 534 (1998).
43. For the study of this process, see S. Willenbrock and D. Dicus, Phys. Rev. D 34, 155 (1986); S. Dawson and S. Willenbrock, Nucl. Phys. B284, 449 (1987); C.-P. Yuan, Phys. Rev. D 41, 42 (1990); F. Anselmo, B. van Eijk, and G. Bordes, ibid. 45, 2312 (1992); R. K. Ellis and S. Parke, ibid. 46, 3785 (1992); D. Carlson and C.-P. Yuan, Phys. Lett. B 306, 386 (1993); E. Malkawi and C.-P. Yuan, Phys. Rev. D 50, 4462 (1994); G. Bordes and B. van Eijk, Nucl. Phys. B435, 23 (1995); A. Heinson, A. Belyaev, and E. Boos, Phys. Rev. D 56, 3114 (1997); T. Stelzer and S. Willenbrock, Phys. Lett. B 357, 125 (1995); M. Smith and S. Willenbrock, Phys. Rev. D 54, 6696 (1996); S. Mrenna and C.-P. Yuan, Phys. Lett. B 416, 200 (1998); T. Tait and C.-P. Yuan, hep-ph/9710372; E. H. Simmons, Phys. Rev. D 55, 5494 (1997); C. S. Li, R. J. Oakes, and J. M. Yang, ibid. 55, 1672 (1997); 55, 5780 (1997); A. Datta et al., ibid. 56, 3107 (1997); R. J. Oakes, K. Whisnant, J. M. Yang, Bing-Lin Young, and X. Zhang, ibid. 57, 534 (1998).
44. For the study of this process, see S. Willenbrock and D. Dicus, Phys. Rev. D 34, 155 (1986); S. Dawson and S. Willenbrock, Nucl. Phys. B284, 449 (1987); C.-P. Yuan, Phys. Rev. D 41, 42 (1990); F. Anselmo, B. van Eijk, and G. Bordes, ibid. 45, 2312 (1992); R. K. Ellis and S. Parke, ibid. 46, 3785 (1992); D. Carlson and C.-P. Yuan, Phys. Lett. B 306, 386 (1993); E. Malkawi and C.-P. Yuan, Phys. Rev. D 50, 4462 (1994); G. Bordes and B. van Eijk, Nucl. Phys. B435, 23 (1995); A. Heinson, A. Belyaev, and E. Boos, Phys. Rev. D 56, 3114 (1997); T. Stelzer and S. Willenbrock, Phys. Lett. B 357, 125 (1995); M. Smith and S. Willenbrock, Phys. Rev. D 54, 6696 (1996); S. Mrenna and C.-P. Yuan, Phys. Lett. B 416, 200 (1998); T. Tait and C.-P. Yuan, hep-ph/9710372; E. H. Simmons, Phys. Rev. D 55, 5494 (1997); C. S. Li, R. J. Oakes, and J. M. Yang, ibid. 55, 1672 (1997); 55, 5780 (1997); A. Datta et al., ibid. 56, 3107 (1997); R. J. Oakes, K. Whisnant, J. M. Yang, Bing-Lin Young, and X. Zhang, ibid. 57, 534 (1998).
45. K. Hikasa, K. Whisnant, J. M. Yang, and Bing-Lin Young, Phys. Rev. D 58, 114003 (1998).