B(S), B(C) and b-baryons Page: 4 of 13
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TABLE 2. Lifetimes and decay width difference for the
heavy and light B0 states
AFs/Fs <r> ps L pS TH ps
CDF 0.65 0.3 1.40 0.15 1.05 016 2.07 0.8
DO 0.21 0.33 1.39 0.15 123 016 1.52 0.39
-0.45 -0.16 -0.13 -0.43D0 Preliminary
t - 1a (stat only) * DO
. 1 Statt + syst)
0.8 - with WA constraint (1 o stat)
0.12 2200
0.6-
0.4 D
theor. 1 6 band
0.2 -.0 *
DI08 4400
0 -
D.07
E
-0.2 - = ..- WA(f.s.) 1G D.06 880D z
D.05
0.4 0.0368 0.0396 0.0424 0.0452 0.048 0.04 17600
ci(cm) -
1 2 3 4 5 6 7 8
1 (ps) Integrated luminosity ( fb- )
FIGURE 2. (left) AFS/FS vs average lifetime. The DO one-a contours are compared to a one-a band
for the world average measurement based on flavor-specific decays. The CDF measurment as well as the
SM theoretical prediction are also shown. (right) Projection of the uncertainty on AFS/FS as a function of
integrated luminosity per Tevatron experiment in Run II.
In order to measure the decay width difference, AFs, we need to disentagle the
heavy and light B0 mass eigenstates and measure their lifetimes separately. Since the
B mass eigenstates correspond also to the CP eigenstates, we can disentagle them
by identifying the CP even and CP odd contributions to the final states. This is more
staightforward when a pseudoscalar state decays to two vector mesons. The decay
B -, J/y4 is a pseudoscalar to vector-vector transition and is characterized by three
amplitudes corresponding to transitions in which the J/ y and 0 have a relative orbital
angular momentum L of 0, 1, or 2. The observed final state particles for the B0, Bs decays
(+--K+K--) have definite CP which depends on L. Time-dependent angular analysis
for BS -- J/ y4 together with lifetime measurements can help separate heavy and light
mass eigenstates.
In Table 2 we present the relative width difference between the heavy and light mass
eigenstates, AFs/Fs, the average lifetime of the (B , Bs) system and the mean lifetimes of
the light and heavy B0 eigenstates as measured by the CDF [5] and DO [6] experiments.
In Fig. 2(left) we show AFs/Fs vs average lifetime as measured by the CDF and DO
experiments and in comparison with the theoretical expectation [7]. In Fig. 2(right) we
show the expected precision on the measurement of AFs/Fs as a function of integrated
luminosity per Tevatron experiment. The estimate presented here is based on DO studies
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Papadimitriou, Vaia. B(S), B(C) and b-baryons, article, November 1, 2005; Batavia, Illinois. (https://digital.library.unt.edu/ark:/67531/metadc880846/m1/4/: accessed April 25, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.