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B. Golob, Ljubljana Univ. D 0 Oscillations 1 Super-  -c factory, BINP, Sep 2008 B. Golob University of Ljubljana, Jožef Stefan Institute & Belle Collaboration.

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Presentation on theme: "B. Golob, Ljubljana Univ. D 0 Oscillations 1 Super-  -c factory, BINP, Sep 2008 B. Golob University of Ljubljana, Jožef Stefan Institute & Belle Collaboration."— Presentation transcript:

1 B. Golob, Ljubljana Univ. D 0 Oscillations 1 Super-  -c factory, BINP, Sep 2008 B. Golob University of Ljubljana, Jožef Stefan Institute & Belle Collaboration D 0 Mixing University of Ljubljana “Jožef Stefan” Institute Outline 1.Phenomenology 2.Measurements A) Experiments B) CP states C) Wrong sign (non-CP) D) t-dependent Dalitz E)  (3770) F) Average of results 3. Prospects & Summary A) Mixing param. B) CPV param. C) Summary

2 B. Golob, Ljubljana Univ. D 0 Oscillations 2 Super-  -c factory, BINP, Sep 2008 1. Phenomenology Time evolution flavor states ≠ H eff eigenstates: (defined flavour) (defined m 1,2 and  1,2 ) |x|, |y| << 1 P0P0 q1q1 q2q2 q1q1 P0P0 q2q2 P 0 = K 0, B d 0, B s 0 and D 0 coherent production, V→D 0 D 0 Decay time distribution of experimentally accessible states D 0, D 0 sensitive to mixing parameters x and y, depending on final state

3 B. Golob, Ljubljana Univ. D 0 Oscillations 3 Super-  -c factory, BINP, Sep 2008 1. Phenomenology x and y D0D0 D0D0 K+K+ K-K- I.I. Bigi, N. Uraltsev, Nucl. Phys. B592, 92 (2001); A.F. Falk et al., PRD69, 114021 (2004) W+W+ W-W- D0D0 D0D0 The duration of passion is proportionate with the original resistance of the woman. H. de Balzac (1799 -1850) unique for D 0 ’s: down q’s loop; mixing: 30 years after discovery DCS SU(3) breaking d, s, b d, s, b difficult to estimate

4 B. Golob, Ljubljana Univ. D 0 Oscillations 4 Super-  -c factory, BINP, Sep 2008 D 0 : first two quark generations; CKM elements ≈ real; using CKM unitarity: bellow current exp. sensitivity; signals New Physics 1. Phenomenology CP violation V cs V us * D0D0 K-K- K+K+ parameterization: R D ≠1: Cabbibo suppression A D ≠0: CPV in decay A M ≠0: CPV in mixing  ≠0 : CPV in interference

5 B. Golob, Ljubljana Univ. D 0 Oscillations 5 Super-  -c factory, BINP, Sep 2008 e + e - →  (3770) → D 0 D 0, D + D - (coherent C=-1 state);  ~800 pb -1 of data available at  (3770) 2.8x10 6 D 0 D 0 very diverse exp. conditions continuum production 2. Measurements A) Experiments ** c c  (c c)  1.3 nb (~10 9 X c Y c pairs) General B-factories D* + →D 0  s + charge of  s  flavor of D 0 ;  M=M(D 0  s )-M(D 0 )  background reduction p*(D*) > 2.5 GeV/c eliminates D 0 from b → c

6 B. Golob, Ljubljana Univ. D 0 Oscillations 6 Super-  -c factory, BINP, Sep 2008 2. Measurements B) Decays to CP eigenstates K + K - /  +  - and K -  + ratio 1 st evidence for D 0 mixing + Belle, PRL 98, 211803 (2007), 540fb -1 BaBar, arXiv:0712.2249, 384fb -1 = D 0 → K + K - /  +  -, CP even no CPV: CP|D 1 > = |D 1 >   =1/  1 ; K -  + : mixture of CP states   =f(1/  1,1/  2 ) S. Bergman et al., PLB486, 418 (2000)

7 B. Golob, Ljubljana Univ. D 0 Oscillations 7 Super-  -c factory, BINP, Sep 2008 2. Measurements B) Decays to CP eigenstates CPV t-depedent / t-independent method BaBar, arXiv:0712.2249, 384fb -1 t-dependent t-independent similar sensitivity Belle, PRL 98, 211803 (2007), 540fb -1 BaBar, PRL 100, 061803 (2007), 386fb -1 Belle, arXiv:0807.0148, 540fb -1

8 B. Golob, Ljubljana Univ. D 0 Oscillations 8 Super-  -c factory, BINP, Sep 2008 2. Measurements C) WS decays (non-CP) D* + → D 0  slow + D 0 → D 0 → K +  - DCS decays  interference; t-dependence to separate DCS/mixed BaBar, PRL 98, 211802 (2007), 384fb -1 1 st evidence for D 0 mixing 11 33 55 likelihood contours 3.9  Belle, PRL 96, 151801 (2006), 400fb -1  : unknown strong phase DCS/CF 3.8  11 33 CDF, PRL 100, 121802 (2008), 1.5fb -1 likelihood contours 95% FC confidence region

9 B. Golob, Ljubljana Univ. D 0 Oscillations 9 Super-  -c factory, BINP, Sep 2008 2. Measurements D) t-dependent Dalitz analyses different types of interm. states; CF: D 0 → K* -  + DCS: D 0 → K* +  - CP: D 0 →  0 K S if f = f  populate same Dalitz plot; relative phases determined (unlike D 0 → K +  - ); t-dependence: regions of Dalitz plane → specific t dependence f(x, y); 1,2 = f (x,y); D0 →KS +-D0 →KS +- access directly x, y D 0 →f Belle, PRL 99, 131803 (2007), 540fb -1 D0 →KS +-D0 →KS +- most accurate x

10 B. Golob, Ljubljana Univ. D 0 Oscillations 10 Super-  -c factory, BINP, Sep 2008 2. Measurements E)  (3770) →D 0 D 0 at threshold D 0 D 0 in C=-1 state  effective Br’s depending on mixing param.: y, R M =(x 2 +y 2 )/2,  R D cos  S ± : CP eigenstates e - : Xe fit to set of single and double Br’s Br(D 0 D 0 →f i /f j ) Br(D 0 →f i )Br(D 0 →f j ) Br(D 0 D 0 →f i X) Br(D 0 →f i ) single D 0 reconstr. both D 0 reconstr. measured from ST rates uncorrelated production uncorrelated production Cleo-c, PRD78, 012001 (2008), 281pb -1 (R WS =  (K +  -) /  (K -  + ))

11 B. Golob, Ljubljana Univ. D 0 Oscillations 11 Super-  -c factory, BINP, Sep 2008 2. Measurements E)  (3770) →D 0 D 0 fit to set of single and double Br’s Cleo-c, PRD78, 012001 (2008), 281pb -1 DT yields M [GeV] 1.83 1.89 1.83 1.89 1.83 ST yields

12 B. Golob, Ljubljana Univ. D 0 Oscillations 12 Super-  -c factory, BINP, Sep 2008 2. Measurements F) Average of results K+K-K+K- K+-K+- KS-+KS-+ RMRM  2 fit including correlations among measured quantities  2 /n.d.f.=25.3/20 http://www.slac.stanford.edu/xorg/hfag/charm/ and HFAG, arXiv:0808.2268 (x,y)≠(0,0): 9.8  ; CP even state heavier and shorter lived; no CPV within 1  CPV  uncertainty

13 B. Golob, Ljubljana Univ. D 0 Oscillations 13 Super-  -c factory, BINP, Sep 2008 3. Prospects and summary A) Mixing parameters Cleo-c results improved signif. with higher stat.; (all estimates based on ) x, y related measurements of similar or better accuracy at Super-B with modest lumin.;  already constrained with reasonable accuracy from combination of x’ 2, y’, x, y meas.;  (y CP ) [%] B  (y) [%] B  (x) [%] B  (R M ) [10 -3 ] charm  (x’ 2 ) [10 -3 ] B 0.5 5.0 L [fb -1 ] L [ab -1 ]  (y) [%] charm 0.5 5.0 L [fb -1 ] L [ab -1 ] L [fb -1 ]  (√R D cos  ) [10 -2 ] charm Prediction is very difficult, especially of the future. N. Bohr (1885 - 1962) Cleo-c, PRD78, 012001 (2008), 281pb -1

14 B. Golob, Ljubljana Univ. D 0 Oscillations 14 Super-  -c factory, BINP, Sep 2008 3. Prospects and summary A) Mixing parameters asymmetric factory at  (3770): for same as at  (4S)   ~2 (0.42 at Belle), E(e - /e + )=8 GeV/0.45 GeV (8 GeV/3.5 GeV at Belle); resolution:  res D ~  res B (  B /  D ) ~0.3 ps ~  D0 N(S + K -  +, S + e - )~1300 @ 281 pb -1  y ~0.1% with 2 ab -1 (stat. only)

15 B. Golob, Ljubljana Univ. D 0 Oscillations 15 Super-  -c factory, BINP, Sep 2008 3. Prospects and summary B) CPV parameters various options at  (3770); decays to same sign CP eigenstates: (assuming no direct CPV) suppressed by R M ; not feasible; L [ab -1 ]  (A  ) [%] B  (|q/p|) B  (  ) [rad] B >>

16 B. Golob, Ljubljana Univ. D 0 Oscillations 16 Super-  -c factory, BINP, Sep 2008 3. Prospects and summary B) CPV parameters various options at  (3770); untagged asymmetry: A CP linear in CPV and mixing param., feasible (stat. only); systematics from charge dependent  asymm.? also possible at B-factories >> 0.2 0.5 0.9 sin  L [fb -1 ] 1400 1000 600 200 300 fb -1 current  R D, y uncertainty

17 B. Golob, Ljubljana Univ. D 0 Oscillations 17 Super-  -c factory, BINP, Sep 2008 3. Prospects and summary B) CPV parameters D 0 D 0 in C=+1 state (D 0 D 0  ); tagged asymmetry:

18 B. Golob, Ljubljana Univ. D 0 Oscillations 18 Super-  -c factory, BINP, Sep 2008 3. Prospects and summary B) CPV parameters various options at  (3770); CPV in mixing: A CP linear in CPV param., feasible (stat. only); systematics from e - spectrum extrapolation (cancels in A CP )?  (A M )~1% with 300 fb -1 sensitivity better than at Super-B;  (A  ) [%] B  (|q/p|) B  (  ) [rad] B L [ab -1 ]

19 B. Golob, Ljubljana Univ. D 0 Oscillations 19 Super-  -c factory, BINP, Sep 2008 3. Prospects and summary B) CPV parameters various options at  (3770); direct CPV: A CP linear in CPV param., feasible (stat. only); systematics from e - spectrum extrapolation (cancels in A CP )? sensitivity better than at Super-B; a complete overview of physics cases (for BES-III) can be found in  (A D ) [%] charm  (A D ) [%] B 0.5 5.0 L [fb -1 ] L [ab -1 ] K.T. Chao, Y. Wang, editors, arXiv:0809.1869

20 B. Golob, Ljubljana Univ. D 0 Oscillations 20 Super-  -c factory, BINP, Sep 2008 3. Prospects and summary C) Summary today: D mixing unambigiously established; x, y ~ O (1%); no CPV asymmetry @ ~0.3%; “tomorrow”: Super-B factory at initial stage  (x),  (y) ~ O ( 0.1%)  (A CP ) ~ O (0.1%);  K  precisely determined from combination of measurements; R M, y @ charm factory of lower accuracy than @ B factory (unless t-dependent meas. with asymmetric collider); various options for CPV (only few examples shown); several competitive or better, and complementary to B-factory (including D 0 D 0 with C=+1); many other possibilities (Dalitz studies, triple product correlations, T-odd moments,...)

21 B. Golob, Ljubljana Univ. D 0 Oscillations 21 Super-  -c factory, BINP, Sep 2008 Systematics bckup scales with MC better detect. (MC) desc. scales with data/MC total non-scaling 0.10% 0.06% Decays to CP eigenstates L 0 =540 fb -1 Belle, PRL 98, 211803 (2007), 540fb -1

22 B. Golob, Ljubljana Univ. D 0 Oscillations 22 Super-  -c factory, BINP, Sep 2008 Systematics bckup Decays to CP eigenstates L 0 =540 fb -1  (y CP ) [%]  (A  ) [%] L [ab -1 ]

23 B. Golob, Ljubljana Univ. D 0 Oscillations 23 Super-  -c factory, BINP, Sep 2008 model dependence [10 -4 ]:  x  y -10.3 +0.1 K* 0 (1430) DCS/CF -15% + 6.9 -2.5 K* 2 (1430) DCS/CF -30% -1.6 -0.9 K*(1410) DCS & CF -20% -5.1 -4.1  (q 2 ) const. --------------------------------- +10 +6 Total model dep. -14 -8 experimental:  x  y +7.6 -7.8 p* variation -5.6 -5.7 Dalitz pdf for bkg. from different t bins ----------------------- +9 +8 Total experimental -7 -12 Systematics bckup better underst. of DCS/CF; arbitrary ½ of uncertainty taken as non-scaling ±8 ± 4.3 model non-scaling t-dependent Dalitz analyses scales with data/MC ±6 ±6 exp. non-scaling ±10 ±7 total non-scaling L 0 =540 fb -1 Belle, PRL 99, 131803 (2007), 540fb -1

24 B. Golob, Ljubljana Univ. D 0 Oscillations 24 Super-  -c factory, BINP, Sep 2008 model dependence:  |q/p|  [rad] ±0.08 ±0.06 experimental:  |q/p|  [rad] +0.06 +0.06 p* variation +0.03 -0.05 bkg. decay t parameters Systematics bckup ±0.08 ±0.06 model non-scaling t-dependent Dalitz analyses scales with data/MC ±0.08 ±0.06 total non-scaling L 0 =540 fb -1 scales with data/MC

25 B. Golob, Ljubljana Univ. D 0 Oscillations 25 Super-  -c factory, BINP, Sep 2008 Systematics bckup t-dependent Dalitz analyses L 0 =540 fb -1  (x) [%]  (y) [%]  (|q/p|)  (  ) [rad] L [ab -1 ]

26 B. Golob, Ljubljana Univ. D 0 Oscillations 26 Super-  -c factory, BINP, Sep 2008  x’ 2 [  stat ]  y’ [  stat ] ±0.44 ±0.44 p* variation ±0.26 ±0.26 fixed decay-t parameters ±0.26 ±0.26  t effect on fractions Systematics bckup WS decays (non-CP) scales with data/MC ±0.48 ±0.48 total non-scaling L 0 =400 fb -1 scales with data  syst (1-dim) = 0.75  stat scales with data assumed same fraction of scaling/non-scaling systematics as for x’ 2 Belle, PRL 96, 151801 (2006), 400fb -1

27 B. Golob, Ljubljana Univ. D 0 Oscillations 27 Super-  -c factory, BINP, Sep 2008 Systematics bckup WS decays (non-CP) L 0 =400 fb -1  (x’ 2 ) [10 -3 ]  (y’) [%] L [ab -1 ]

28 B. Golob, Ljubljana Univ. D 0 Oscillations 28 Super-  -c factory, BINP, Sep 2008 Systematics bckup  (3770) →D 0 D 0 L 0 =281 pb -1 assume sensitivity on y is mainly due to S ± e -  R D cos  is mainly due to S ± K -  + R M is mainly due to K -  + K -  + calculate fraction of non-scaling syst. on DT yields in total relative error: S ± e - (y)  (non-scaling)/  (total)=15% extrap. of e - momentum S ± K -  + (  R D cos  )  (non-scaling)/  (total)=15% FSR, sideband subtr. K -  + K -  + (R M )  (non-scaling)/  (total)=2.4% FSR Cleo-c, PRD78, 012001 (2008), 281pb -1

29 B. Golob, Ljubljana Univ. D 0 Oscillations 29 Super-  -c factory, BINP, Sep 2008  bckup  (3770) →D 0 D 0  constraints average direct meas. (fit w/o external input) 0 1 2 3 4 5  [rad] y’=ycos  -xsin  [%] 1.0 0.5 0 -0.5 y’ measured  measured 0 1 2 3 4 5  [rad] cos  1 0

30 B. Golob, Ljubljana Univ. D 0 Oscillations 30 Super-  -c factory, BINP, Sep 2008 Introduction bckup History observation of K 0 : 1950 (Caltech) mixing in K 0 : 1956 (Columbia) observation of B d 0 : 1983 (CESR) mixing in B d 0 : 1987 (Desy) observation of B s 0 : 1992 (LEP) mixing in B s 0 : 2006 (Fermilab) observation of D 0 : 1976 (SLAC) mixing in D 0 : 2007 (KEK, SLAC) (evidence of) 6 years 4 years 14 years 31 years P0P0 q1q1 q2q2 q1q1 P0P0 Mixing phenomena in course of life neutral meson P 0 can transform into anti-meson P 0 P 0 = K 0, B d 0, B s 0 and D 0 q2q2 c quark t quark mass ????

31 B. Golob, Ljubljana Univ. D 0 Oscillations 31 Super-  -c factory, BINP, Sep 2008 Introduction bckup 3(4) layer Si det. Central Drift Chamber Aerogel Cherenkov (n=1.015- 1.030) 1.5T SC solenoid e - 8 GeV e + 3.5 GeV EM calorimeter CsI (16X 0 )  and K L Counter (14/15 layers RPC+Fe) tracking  (p t )/p t = 0.2% √(p t 2 +2.5) PID  (K ± ) ~ 85%  (  ± →K ± )  10% for p < 3.5 GeV/c

32 B. Golob, Ljubljana Univ. D 0 Oscillations 32 Super-  -c factory, BINP, Sep 2008 Introduction bckup  =0.56 Integrated luminosity:  Ldt  500 fb -1 BaBar detector at SLAC tracking  (p t )/p t = 0.45%+0.13%p t PID 3.4  K/  separation for p < 3.5 GeV/c

33 B. Golob, Ljubljana Univ. D 0 Oscillations 33 Super-  -c factory, BINP, Sep 2008 Introduction bckup Had. ID e - ID tracking Cleo-c, hep-ex/0606016  s [GeV] Cleo-c detector at CESR e + e - →  (3770) → D 0 D 0, D + D - (coherent C=-1 state); analogous to B-factory with e + e - → BB @  (4S); symmetric; also higher energy, above DD* or D s D s threshold;  ~572 pb -1 of data available at  (3770) 2.0x10 6 D 0 D 0, 1.6x10 6 D + D - charm-factory; also upgraded BES at BEPCII

34 B. Golob, Ljubljana Univ. D 0 Oscillations 34 Super-  -c factory, BINP, Sep 2008 Intrrduction bckup 3.5 fb -1 on tape  (D 0 ; p t >5.5 GeV,|y|<1)≈13  b 50x10 9 D 0 ’s d  (D 0 )/dp t [nb/GeV] CDF

35 B. Golob, Ljubljana Univ. D 0 Oscillations 35 Super-  -c factory, BINP, Sep 2008 Phenomenology bckup Time evolution eigenvalues: diagonal elem.: P 0  P 0 (including decays) non-diagonal elem.: P 0  P 0 P 1,2 evolve in time according to m 1,2 and  1,2 :

36 B. Golob, Ljubljana Univ. D 0 Oscillations 36 Super-  -c factory, BINP, Sep 2008 Phenomenology bckup short distance: DCS SU(3) breaking G. Burdman, I. Shipsey, Ann.Rev.Nucl.Sci. 53, 431 (2003) |x| ~ O (10 -5 ) long distance: absorptive part (real interm. states)  y dispersive part (off-shell interm. states)  x D0D0 D0D0 K+K+ K-K- I.I. Bigi, N. Uraltsev, Nucl. Phys. B592, 92 (2001); A.F. Falk et al., PRD69, 114021 (2004) |x|, |y| ~ O (10 -2 ) D 0 mixing: rare process in SM; possible contrib. from NP x and y in SM 2nd order perturb.: c u u c d, s, b W+W+ W-W- D0D0 D0D0 V ci * V cj V uj * V ui

37 B. Golob, Ljubljana Univ. D 0 Oscillations 37 Super-  -c factory, BINP, Sep 2008 Phenomenology bckup Oscillations measurable rates:

38 B. Golob, Ljubljana Univ. D 0 Oscillations 38 Super-  -c factory, BINP, Sep 2008 Phenomenology bckup Oscillations visually unobservable deviation from pure exponential ~ B s 0 more difficult to observe oscillations within  probab. to observe an initially produced X 0 as X 0 after time t

39 B. Golob, Ljubljana Univ. D 0 Oscillations 39 Super-  -c factory, BINP, Sep 2008 K +  - bckup R D = (3.64 ± 0.17 ) ·10 -3 x’ 2 = (0.18 ± 0.21 0.23 ) · 10 -3 y’ = (0.6 ± 4.0 3.9 ) · 10 -3 A D = (23 ± 47) ·10 -3 A M = (670 ± 1200) ·10 -3 Results: no CPV CPV CPV allowed: separate D 0 and D 0 tags (x’ 2,y’,R D ) → (x’ ±2, y’ ±,R D ± ) 95% C.L. (x’ 2, y’) contour frequentist, FC ordering (0,0) lies on 96.1% C.L. contour x’ 2 < 0.72 ·10 -3 -0.99% < y’ < 0.68% no signif. CPV largest syst. due to p*(D*) selection PRL96, 151801 (2006), 400 fb -1

40 B. Golob, Ljubljana Univ. D 0 Oscillations 40 Super-  -c factory, BINP, Sep 2008 K S  +  - bckup Belle, PRL 99, 131803 (2007), 540fb -1 Dalitz projection of fit K*(892) + K* X (1400) + K*(892) -  test of S-wave  contr. (f 0,  1,2 ): K-matrix formalism Results (fit fractions, phases) in agreement with (measurement of  3 ) PRD73, 112009 (2006)

41 B. Golob, Ljubljana Univ. D 0 Oscillations 41 Super-  -c factory, BINP, Sep 2008 K S  +  - bckup D 0 → K S  +  - Largest systematics model dependence [10 -4 ]:  x  y -10.3 +0.1 K* 0 (1430) DCS/CF -15% + 6.9 -2.5 K* 2 (1430) DCS/CF -30% -1.6 -0.9 K*(1410) DCS & CF -20% -5.1 -4.1  (q 2 ) const. --------------------------------- +10 +6 Total model dep. -14 -8 experimental:  x  y +7.6 -7.8 p* variation -5.6 -5.7 Dalitz pdf for bkg. from different t bins ----------------------- +9 +8 Total experimental -7 -12 observed discrepancy from input in MC statistical uncertainty:  (x)=29x10 -4  (y)=24x10 -4 Belle, PRL 99, 131803 (2007), 540fb -1

42 B. Golob, Ljubljana Univ. D 0 Oscillations 42 Super-  -c factory, BINP, Sep 2008 K S  +  - bckup Belle, PRL 99, 131803 (2007), 540fb -1 D 0 → K S  +  - efficiency and resol. in M(  rnd  s bkg.: P rnd  [(1-f w ) M (m - 2,m + 2,t) +f w M (m + 2,m - 2,t)]  R (t) f w from fit to Q side band: f w = 0.452 ± 0.005 diff. w.r.t. f w =0.5 in systematic error comb. bkg.: P cmb  B(m - 2,m + 2 ) * ([  (t) + Exp(t) ]  R ’(t) parameters from fit to Dalitz and t distrib. of M(K S  +  - ) sideband (systematics: Dalitz distrib. in different t intervals)

43 B. Golob, Ljubljana Univ. D 0 Oscillations 43 Super-  -c factory, BINP, Sep 2008 K +  -  0 bckup BaBar, arXiv:0807.4567, 384fb -1

44 B. Golob, Ljubljana Univ. D 0 Oscillations 44 Super-  -c factory, BINP, Sep 2008 K +  -  0 bckup BaBar, arXiv:0807.4567, 384fb -1 D0 →K+ -0D0 →K+ -0 BaBar, Lepton Photon 07, 384fb -1 no mixing point 0.8% C.L.  K  : unknown strong phase shift DCS/CF separate WS/RS Dalitz distributions; t-distrib. analogous to D 0 → K +  - ; RS t-integrated Dalitz analysis; WS Dalitz analysis;

45 B. Golob, Ljubljana Univ. D 0 Oscillations 45 Super-  -c factory, BINP, Sep 2008 K + K - /  +  - bckup Belle, PRL 98, 211803 (2007), 540fb -1 Fit simultaneous binned likelihood fit to K + K - /K -  + /  +  - decay-t, common free y CP R : ideally each  i Gaussian resol. term with fraction f i ; : described by 3 Gaussians   = 408.7±0.6 fs event-by-event  t K-+K-+ parameters of R depend slightly on data taking conditions t rec -t gen /  t

46 B. Golob, Ljubljana Univ. D 0 Oscillations 46 Super-  -c factory, BINP, Sep 2008 K + K - /  +  - bckup equal t 0 assumption  y CP =t 0 CP - t 0 K  /  K  from MC cocktail, including running periods with slight misalign. of SVD Belle, PRL 98, 211803 (2007), 540fb -1

47 B. Golob, Ljubljana Univ. D 0 Oscillations 47 Super-  -c factory, BINP, Sep 2008 K + K - /  +  - CPV bckup Decays to CP eigenstates CPV with a dec <<1: Belle, arXiv:0807.0148, 540fb -1 BaBar, arXiv:0712.2249, 384fb -1 t-integrated A CP meas =A   + A FB + A CP f A   : comparison of tagged/untagged (D* + →D 0  + ),D 0 →K -  + A FB : asymmetric f(cos  CMS ) t-dependent Belle, PRL 98, 211803 (2007), 540fb -1 A CP KK A CP  A FB KK A FB  |cos  CMS | BaBar, PRL 100, 061803 (2007), 386fb -1

48 B. Golob, Ljubljana Univ. D 0 Oscillations 48 Super-  -c factory, BINP, Sep 2008  (3770) →D 0 D 0 bckup D 0, D 0 in anti-symmetric state

49 B. Golob, Ljubljana Univ. D 0 Oscillations 49 Super-  -c factory, BINP, Sep 2008 Average bckup Average of results inputs http://www.slac.stanford.edu/xorg/hfag/charm/ and HFAG, arXiv:0808.2268

50 B. Golob, Ljubljana Univ. D 0 Oscillations 50 Super-  -c factory, BINP, Sep 2008 Average bckup  2 of fit http://www.slac.stanford.edu/xorg/hfag/charm/ and HFAG, arXiv:0808.2268

51 B. Golob, Ljubljana Univ. D 0 Oscillations 51 Super-  -c factory, BINP, Sep 2008 NP bckup Constraints on NP E. Golowich et al., PRD76, 095009 (2007) x x=2% ’ 12k ’ 11k D0D0 D0D0 D0D0 D0D0 uncertain SM predictions for x, y; measured values  constraints on NP models; e.g. R-parity violating SUSY; existing constraints greatly improved for many NP models; R-parity violating coupling const.

52 B. Golob, Ljubljana Univ. D 0 Oscillations 52 Super-  -c factory, BINP, Sep 2008 Triple product correl. bckup D →K*(p 1,  1 )K*(p 2,  2 ) T(p i,  i ) = -p i,  i ; but A T ~ sin(  )  : weak phase  : strong phase;  asymmetry of conjugated process A T CP ~ sin  cos  n.b.: A CP dir ~ sin  sin 

53 B. Golob, Ljubljana Univ. D 0 Oscillations 53 Super-  -c factory, BINP, Sep 2008 T-odd moments bckup D →KK   : angle between KK and  planes; direct CPV; CPV;


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