Abstract.
We study the Lorentz and CPT violating effects on the branching ratio, the CPT violating asymmetry and the ratio of the decay width, including only the Lorentz violating effects, to the one obtained in the standard model, for the flavor dependent part of the lepton flavor conserving \(Z\rightarrow l^ + l^-\) (\(l = e,\mu,\tau \)) decay. The inclusion of the Lorentz and CPT violating effects in the standard model contribution are too small to be detected, since the corresponding coefficients are highly suppressed at the low energy scale.
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CPT and Lorentz Symmetry, edited by V.A. Kostelecky (World Scientific, Singapore 1999)
V.A. Kostelecky, S. Samuel, Phys. Rev. D 39, 683 (1989); Phys. Rev. D 40, 1886 (1989); Phys. Rev. Lett. 63, 224 (1989); 66, 1811 (1991); Phys. Lett. B 381, 89 (1996); Phys. Rev. D 63, 046007 (2001); V.A. Kostelecky, M. Perry, R. Potting, Phys. Rev. Lett. D 84, 4541 (2000)
S.M. Carroll et al. , Phys. Rev. Lett. 87, 141601 (2001); Z. Guralnik et al. Phys. Lett. B 517, 450 (2001); A. Anisimov et al. , Phys. Rev. D 65, 085032 (2002), C.E. Carlson et al. , Phys. Lett. B 518, 201 (2001)
D. Colladay, V.A. Kostelecky, Phys. Rev. D 55, 6760 (1997); D 58, 116002 (1998); Phys. Lett. B 511, 209 (2001)
V.A. Kostelecky, R. Lehnert, Phys. Rev. D 63, 065008 (2002)
Alfaro et al. , Phys. Rev. Lett. 84, 2318 (2000); Phys. Rev. D 65, 103509 (2002)
F.R. Klinkhamer, C. Rupp, Phys. Rev. D 70, 045020 (2004)
V.A. Kostelecky et al. , Phys. Rev. D 68, 123511 (2003); Bertolami et al. , Phys. Rev. D 69, 083513 (2004)
V.A. Kostelecky, R. Lehnert, Perry, Phys. Rev. D 68, 123511 (2003)
KTeV Collaboration, Y.B. Hsiung et al. , Nucl. Phys. Proc. Suppl. 86, 312 (2000); Opal Collaboration, R. Ackerstaff et al. , Z. Phys. C 76, 401 (1997); DELPHI Collaboration, M. Feindt et al. , prep. DELPHI 97-98 CONF 80 (1997); BELLE Collaboration, K. Abe et al. , Phys. Rev. Lett. 86, 3228 (2001); V.A. Kostelecky, R. Potting, Phys. Rev. D 51, 3923 (1995); Colladay, V.A. Kostelecky, Phys. Lett. B 344, 259 (1995); Phys. Rev. D 52, 6224 (1995); V.A. Kostelecky, R. Van Kooten, Phys. Rev. D 54, 5585 (1996); V.A. Kostelecky, Phys. Rev. Lett. 80, 1818 (1998); Phys. Rev. D 61, 016002 (2000); D 64, 076001 (2001); N. Isgur et al. , Phys. Lett. B 515, 333 (2001); O. Bertolami et al. , Phys. Lett. B 395, 178 (1997); D. Bear et al. , Phys. Rev. Lett. 85, 5038 (2000); D.F. Philllips et al. , Phys. Rev. D 63, 111101 (2001); M.A. Humphrey et al. , physics/0103068; Phys. Rev. A 62, 063405 (2000); V.A. Kostelecky, C.D. Lane, Phys. Rev. D 60, 116010 (1999); J. Math. Phys. 40, 6245 (1999); R. Bluhm et al. , Phys. Rev. Lett. 88, 090801 (2002); H. Dehmelt et al. , Phys. Rev. Lett. 83, 4694 (1999); R. Mittleman et al. , Phys. Rev. Lett. 83, 2116 (1999); G. Gabrielse et al. , Phys. Rev. Lett. 82, 3198 (1999); R. Bluhm et al. , Phys. Rev. Lett. 82, 2254 (1999); 79, 1432 (1997); R. Bluhm, V.A. Kostelecky, Phys. Lett. 84, 1381 (2000); V.A. Kostelecky, M. Mewes, Phys. Rev. Lett. 87, 251304 (2001); V.W. Hughes et al. , Phys. Rev. Lett. 87, 111804 (2001); R. Bluhm et al. , Phys. Rev. Lett. 84, 1098 (2000)
R. Bluhm, V.A. Kostelecky, N. Russell, Phys. Rev. D 57, 3932 (1998)
V.A. Kostelecky, A.G.M. Pickering, Phys. Rev. Lett 91, 031801 (2003)
V.A. Kostelecky, C.D. Lane, A.G.M. Pickering, Phys. Rev. D 65, 056006 (2002)
E.O. Iltan, JHEP 0306, 016 (2003)
S.M. Carroll, G.B. Field, R. Jackiw, Phys. Rev. D 41, 1231 (1990); Perez-Victoria, JHEP 032, 0104 (2001); Cervi et al. , Phys. Rev. 64, 105003 (2001); Alexander A. Andrianov, P. Giacconi, R. Soldati, JHEP 0202, 030 (2002); H. Belich, M.M. Ferreira, J.A. Helayel-Neto, M.T.D. Orlando, Phys. Rev. D 67, 125011 (2003); H. Belich, J.L. Boldo, L.P. Colatto, J.A. Helayel-Neto, A.L.M.A. Nogueira, Phys. Rev. D 68, 065030 (2003); A.P. Baeta Scarpelli, H. Belich, J.L. Boldo, L.P. Colatto, J.A. Helayel-Neto, A.L.M.A. Nogueira, hep-th/0305089
R. Lehnert, R. Potting, Phys. Rev. Lett. 93, 110402 (2004); hep-ph/0408285
D. Bazeia, T. Mariz, J.R. Nascimento, E. Passos, R.F. Ribeiro, J. Phys. A 36, 4937 (2003)
D. Colladay, AIP Conf. Proc. 672, 65 (2003), hep-ph/0301223
M. Mewes, hep-ph/0307161; R. Bluhm, V.A. Kostelecky, C. Lane, N. Russell, Phys. Rev. D 68, 125008 (2003)
M.S. Berger, Phys. Rev. D 68, 115005 (2003)
R. Lehnert, Phys. Rev. D 68, 085003 (2003)
Altschul, Phys. Rev. D 70, 056005 (2004)
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Received: 2 September 2004, Revised: 19 January 2005, Published online: 21 February 2005
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Iltan, E.O. The Lorentz and CPT violating effects on the \(Z\rightarrow l^ + l^-\) decay. Eur. Phys. J. C 40, 269–273 (2005). https://doi.org/10.1140/epjc/s2005-02146-8
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DOI: https://doi.org/10.1140/epjc/s2005-02146-8