T-violating asymmetry references used by the Charm Subgroup



NOTE: the T violation asymmetry is obtained using triple-product correlations and assuming the validity of CPT theorem.
Triple-product correlations of the form a . (b x c), where a b and c are spins or momenta, are odd under time reversal T.
For example in the decay mode D0 to K+K-π+π-, C_T = P(K+) . (P(π+) x P(π-)) is a T-odd correlation computed using
the momenta of the daughter particles. The corresponding quantity for D0bar is C_Tbar = P(K-) . (P(π-) x P(π+)).
The asymmetry A_T = [Γ(C_T>0) - Γ(C_T<0)]/[Γ(C_T>0) + Γ(C_T<0)] would, in the absence of strong phase, test for
T violation in D0 decays where the Γ's are partial widths.
With A_Tbar = [Γ(-C_Tbar>0) - Γ(-C_Tbar<0)]/[Γ(-C_Tbar>0) + Γ(-C_Tbar<0)] for D0bar, the asymmetry
A_Tviol = (A_T - A_Tbar)/2 tests for T violation even with nonzero strong phases.
[References:
E. Golowich and G. Valencia, Phys. Rev. D 40, 112 (1989).
I.I. Bigi, Proceedings of KAON2001, 417 (2001).
W. Bensalem and D. London, Phys. Rev. D 64, 116003 (2001).
W. Bensalem et al., Phys. Rev. D 66, 094004 (2002).
W. Bensalem et al., Phys. Lett. B 538, 309 (2002). ]



T-violating asymmetries in D0 decay-rates

Year Experiment T-violating Asymmetry in the decay mode D0 to K+K-π+π- A_Tviol = (A_T - A_Tbar)/2
2005 FOCUS J.M. Link et al. (FOCUS Collab.), Phys. Lett. B 622, 239 (2005). +0.010 ± 0.057 ± 0.037






T-violating asymmetries in D+ decay-rates

Year Experiment T-violating Asymmetry in the decay mode D+ to K0sK+π+π- A_Tviol = (A_T - A_Tbar)/2
2005 FOCUS J.M. Link et al. (FOCUS Collab.), Phys. Lett. B 622, 239 (2005). +0.023 ± 0.062 ± 0.022






T-violating asymmetries in Ds+ decay-rates

Year Experiment T-violating Asymmetry in the decay mode Ds+ to K0sK+π+π- A_Tviol = (A_T - A_Tbar)/2
2005 FOCUS J.M. Link et al. (FOCUS Collab.), Phys. Lett. B 622, 239 (2005). -0.036 ± 0.067 ± 0.023




Last modified 16 Mar 2007. Send comments to D. Pedrini