First Year of BABAR/PEP-II - Harvard University Laboratory for ...
First Year of BABAR/PEP-II - Harvard University Laboratory for ...
First Year of BABAR/PEP-II - Harvard University Laboratory for ...
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CP Violation in the B system<br />
Consider B 0 → CP eigenstate f.<br />
◆ e.g. f = J/ψ K S .<br />
“Direct” and “mixed” decay amplitudes<br />
interfere with each other.<br />
→ Time-dependent CP asymmetry:<br />
Decay<br />
B 0 B 0 f<br />
Mixing<br />
Decay<br />
A CP<br />
() t<br />
Γ( B 0 () t → f )–<br />
Γ( B 0 () t → f )<br />
= ------------------------------------------------------------------------<br />
Γ( B 0 () t → f ) Γ B 0 = Cf cos( ∆m⋅<br />
t)<br />
+ Sf sin( ∆m ⋅ t)<br />
+ ( () t → f )<br />
◆ B 0 - B 0<br />
mixing frequency ∆m = (0.47±0.02)/ps.<br />
If only 1 diagram contributes to the decay,<br />
C f<br />
= 0 S f<br />
= – Im( λ)<br />
λ<br />
=<br />
〈 f |H | B 0<br />
〉<br />
---------------------<br />
〈 f |H | B 0 〉<br />
A CP<br />
() t = – Imλ ( ) sin( ∆m⋅<br />
t)<br />
<strong>First</strong> <strong>Year</strong> <strong>of</strong> BaBar/<strong>PEP</strong>-<strong>II</strong> Masahiro Morii SLAC
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