People working on this:
David Asner,
Bostjan Golob,
Alan Schwartz
For a complete list of references click
here
Notation:
the mass eigenstates are denoted
D_{ 1 } ≡ pD^{0}> +
qD^{0}> and
D_{ 2 } ≡ pD^{0}> −
qD^{0}>;
R _{D} is the ratio of magnitudes of D^{0} → f
and
D^{0} → f
amplitudes;
δ and δ_{Kππ} are strong phase differences
between
D^{0}
→ f and D^{0} → f amplitudes, and
φ is a weak phase difference.
The mixing parameters are defined as
x ≡ (m_{2} − m_{1})/Γ and
y ≡ (Γ_{2} − Γ_{1})/(2Γ), where
Γ = (Γ_{1} + Γ_{2})/2.
In the absence of CP violation, our convention is
x = (m_{CP+} − m_{CP−})/Γ,
y = (Γ_{CP+} − Γ_{CP−})/(2Γ), and
δ =
δ_{ D0
→ K+n(π)}
−
δ_{ D0 → K+n(π) } .
The following "pure" measurements and their world averages are presented:
D^{0} → K^{+}l^{−} ν results for R_{ M } ≡ (x^{2}+y^{2})/2.
Year  Experiment  Result  Comment  

1996  FNAL E791  R_{ M } = (0.11 ^{+0.30} _{−0.27 } ^{+0.00} _{−0.014 } )%  500 GeV π^{ −}N interactions (2 × 10^{10} events)  
2005  CLEO II.V  R_{ M } = (0.16 ± 0.29 ± 0.29 )%  9.0 fb^{−1} near Υ(4S) resonance  
2004  BaBar  R_{ M } = (0.23 ± 0.12 ± 0.04 )%  87 fb^{−1} near Υ(4S) resonance  
2007  BaBar  R_{ M } = (0.004 ^{+0.070} _{−0.060 })% 


2008  Belle  R_{ M } = (0.013 ± 0.022 ± 0.020 )%  492 fb^{−1} near Υ(4S) resonance  
COMBOS average 


Plot of average (click on for high resolution):
D^{0} → K^{+} K^{−}, π^{+} π^{−}, K^{+} K^{−} K^{0} results for: y_{ CP } ≡ [Γ(CP+)/<Γ>]−1 = (1/2)(q/p + p/q) y cosφ − (1/2)(q/p − p/q) x sin φ, and A_{ Γ } ≡ [τ(D^{0} → K^{+} K^{−}) − τ(D^{0} → K^{+} K^{−} )] / [τ(D^{0} → K^{+} K^{−}) + τ(D^{0} → K^{+} K^{−} )] = (1/2)(q/p−p/q) y cosφ −(1/2)(q/p+p/q) x sin φ .
Year  Experiment  Result  Comment  

1999  FNAL E791  ΔΓ = (0.04 ± 0.14 ± 0.05 ) ps^{ −1}  500 GeV π^{ −}N interactions (2 × 10^{10} events)  
2000  FOCUS  y_{ CP } = (3.42 ± 1.39 ± 0.74 )%  γN interactions (1 × 10^{6} reconstr. D → K n(π) decays)  
2002  CLEO II.V  y_{ CP } = (−1.2 ± 2.5 ± 1.4 )%  9.0 fb^{−1} near Υ(4S) resonance  
2002  Belle  y_{ CP } = (−0.5 ± 1.0 ^{+0.7} _{−0.8 })%  23.4 fb^{−1} near Υ(4S) resonance; no D^{*} tag  
2007  Belle 

540 fb^{−1} near Υ(4S) resonance  
2008  BaBar 



2009  BaBar 



2009  Belle 

673 fb^{−1} near Υ(4S) resonance, D → (K^{+}K^{−}) K^{0} decays  
COMBOS average 


Plot of y_{ CP } average (click on for high resolution): Plot of A_{ Γ } average (click on for high resolution):
D^{0} → K^{+} π ^{−} results for: R _{D}, x' ≡ x cosδ + y sin δ, y' ≡ y cosδ  x sin δ, and R _{B} ≡ R _{D} + y' √ R _{D} + (x^{2}+y^{2})/2 . These results assume no CPV; for results allowing for CPV click here
Year  Experiment  Result  Comment  

1998  FNAL E791  R_{B} = (0.68 ^{+0.34} _{−0.33 } ± 0.07)%  500 GeV π^{ −}N interactions (2 × 10^{10} events)  
2000  CLEO II.V 

9.0 fb^{−1} near Υ(4S) resonance  
2005  FOCUS 

γN interactions (1 × 10^{6} reconstr. D → K n(π) decays)  
2006  Belle 

400 fb^{−1} near Υ(4S) resonance  
2007  BaBar 

384 fb^{−1} near Υ(4S) resonance  
2007  CDF (Run II) 

1.5 fb^{−1} at √s = 1.96 TeV (Tevatron) 
D^{0} → K^{+} π ^{−} π ^{0} and K^{+} π ^{−} π ^{+} π ^{−} results for: R _{B}, R _{M}, <R _{D}>, and α<y'>, where <…> denotes a quantity integrated (or averaged) over the selected phasespace region of the Dalitz plot, and α is a suppression factor in the range (0,1) arising from strong phase differences over the Dalitz plot. For D^{0} → K^{+} π ^{−} π ^{0} there is a strong phase difference δ_{Kππ} (analogous to δ in D^{0} → K^{+} π ^{−} decays): x" ≡ x cosδ_{Kππ} + y sin δ_{Kππ}, y" ≡ y cosδ_{Kππ}  x sin δ_{Kππ}. These results assume no CPV.
Year  Experiment  Result  Comment  

2005  Belle 

281 fb^{−1} near Υ(4S) resonance  
2006  BaBar 

230.4 fb^{−1} near Υ(4S) resonance  
2006  BaBar 

230.4 fb^{−1} near Υ(4S) resonance  
2008  BaBar 

384 fb^{−1} near Υ(4S) resonance 
D^{0} → K^{0}_{S} π^{+} π ^{−} and D^{0} → K^{0}_{S} K^{+} K ^{−} Dalitz plot results. These results assume no CPV; for results allowing for CPV click here
Year  Experiment  Result  Comment  

2005/2007  CLEO II.V 



2007  Belle 

540 fb^{−1} near Υ(4S) resonance  
2010  BaBar 

468.5 fb^{−1} near Υ(4S) resonance  
COMBOS average 


Plot of x average (click on for high resolution): Plot of y average (click on for high resolution):
Ψ(3770) → D^{0}D^{0} results, using correlations. The upper measurements are obtained from a fit that uses externally measured branching fractions as input, but no externally measured mixing parameters; the lower measurement is obtained from a fit that uses (in addition to branching fractions) externally measured values of R_{M} and R_{D}.
Year  Experiment  Result  Comment  

2008  CLEOc 


0.281 fb^{−1} at Ψ(3770) resonance  
cos δ  1.10 ± 0.35 ± 0.07 
