Wolfgang Menges, Queen Mary Experimental Prospects for CP and T Violation Studies in Charm Giampiero Mancinelli University of Cincinnati CHARM 2007 – Cornell, USA.

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Transcript Wolfgang Menges, Queen Mary Experimental Prospects for CP and T Violation Studies in Charm Giampiero Mancinelli University of Cincinnati CHARM 2007 – Cornell, USA.

Wolfgang Menges, Queen Mary
Experimental Prospects for
CP and T Violation
Studies in Charm
Giampiero Mancinelli
University of Cincinnati
CHARM 2007 – Cornell, USA
Outline
THE RESEARCH
CP Violation in the Charm Sector
THE PLAYERS
CLEO-c
BESIII
Direct CP Violation
Experimental Techniques
Giampiero Mancinelli,
University of Cincinnati – CHARM 2007
CP/T Violation Searches
2/25
Charged D decays
Neutral D decays
CP states
3-Body
CP Violation at the (3770)
T-odd Correlations
E-791
Summary: Current Status
Future Prospects
Conclusions
SUPER-KEK
Charming CP Violation
Sakharov conditions for baryogenesis (1967):
Baryon number violation
CP violation
Non-equilibrium
SM CP Violation in kaon and beauty systems too small
Need other sources
Three types of CP Violation
CPV in mixing matrix (tiny)
Giampiero Mancinelli,
University of Cincinnati – CHARM 2007
2
3/25
Rm2 
p
2M 12  i12

1


q
2M 12  i12
CPV in decay amplitudes

AD  f   A D  f

See previous session
for CPV in mixing
CPV in interference between mixing and direct decay, for a subset of final
states (mixing suppressed, hence very small)
Af
q Af
i   
f 
 Rm e
p Af
Af
Direct CP Violation in Decay
ACP
2 Im A1 A2* sin( 1   2 )
( f )  ( f )
3



10
( f )  ( f ) A1 2  A2 2  2 Re A1 A2*cos( 1   2 )
2 weak amplitudes
strong phase difference
with phase difference
Giampiero Mancinelli,
University of Cincinnati – CHARM 2007
Two amplitudes with different strong
& weak phases needed to observe
CPV (in SM from tree and penguins)
4/25
THE DECAYS
e.g. SCS D0 → K+KW+
D0
Cabibbo Favored (CF)
c
s
u
s
Singly Cabibbo Suppressed (SCS)
Doubly Cabibbo Suppressed (DCS)
c  dsu
K+
K-
u
c  sdu
c  ssu c  ddu
u
D0
c
W+
s
u
Only SCS decays
probe penguins
u
s
K+
s
u
K-
CP Violation in the Standard Model
Standard Model charm physics is “CP conserving”
2x2 Cabibbo quark mixing matrix is real (no CPV at tree level)
CPV in penguins and loops (by virtual b quarks)
Diluted weak phases in SCS decays
In mixing, CPV enters at O(VcbVub/VcsVus)
In decay, penguin CPV enters at O(VcbVub/VcsVusas/p)
No weak phases in CF and DCS decays
…except D+ g K0p+ - SM ~0.003 (CPV in K0 decay)
Giampiero Mancinelli,
University of Cincinnati – CHARM 2007
Note: in general we can separate direct and indirect CP Violation by:
5/25
Combine measured ACP with time-dependent CPV measurements (both for CP
eigenstates)
Just using time-integrated measurements (assuming negligible new CPV in CF or
DCS decays):
The time-integrated CP asymmetry for CF decay to a CP eigenstate gives
indirect ACP
e.g:
ACP_DIRECT(P+P−) = ACP(P+P−) − ACP(KS0p0) , P = K, p
Light readings:
New physics and CP violation in singly Cabibbo suppressed D decays. Y. Grossman, A. L.
Kagan, Y. Nir, Phys.Rev.D75:036008,2007.
“I Know She Invented Fire, But What Has She Done Recently?" - On The Future Of
Charm Physics, I.I. Bigi, Int.J.Mod.Phys.A21:5404-5415,2006.
Mixing and CP-violation in charm. A. A. Petrov, Nucl.Phys.Proc.Suppl.142:333-339,2005.
A Cicerone for the Physics of Charm, S. Bianco, F. L. Fabbri, D. Benson, I. Bigi, Riv.
Nuovo Cim. 26N7 (2003) 1.
CP Violation and New Physics (NP)
Extensions of the Standard Model (ex: SUSY) contain CP violating couplings
that should show up at some level (1%?) in flavor physics
Precision measurements and theory are required to detect the NP
BSM Physics: charm is unique probe of the up type quark sector, especially
models in which CKM mixing is generated in the up sector
top quarks: do not hadronize
No T0-T0 oscillations
Hadronization helps observability of CP Violation
up quarks : p0, η and η′ do not decay weakly
Giampiero Mancinelli,
University of Cincinnati – CHARM 2007
No p0-p0 oscillations possible
CP asymmetries mostly excluded by CPT theorem)
6/25
(relatively) Large statistics
Flavor models where the CKM mixing is “generated” in the up sector predict
large D − D mixing and sizable CPV in D, but smaller effects in the B sector
SCS D decays are now more sensitive to gluonic penguin amplitudes than are
charmless B decays
CF and DCS decays:
Direct CPV in charm would mean NP
SCS decays:
SM ~ 10-3 from CKM matrix
Experimental Approaches for DCPV
 Measure asymmetry in time integrated partial widths
 Measure asymmetries in final state distributions on Dalitz plots
 Exploit quantum coherence of DD produced in (3770) decays
 Study T-violation in 4-body decays of D mesons (assuming CPT) with triple
product correlations (T-odd)
Giampiero Mancinelli,
University of Cincinnati – CHARM 2007
All analyses (except CLEO-c) share many common features
7/25
Many D0s produced in colliders,
Easy to determine the flavor of the D0 (by unbiased tag: D* g D0p)
Common backgrounds (e.g. Kp)
Random p combining with a real D0gK+pMultibody D0 decay from D*gD0p
Random Kpp combinatoral background
Signal and Background yields taken from mKpvs DM(D*-D0)
Signal shape/resolution functions/efficiency calibrations taken from CF modes
p(D*) cut to suppress from BgD*gD decays
Often normalize asymmetries to CF (or other) modes
Keep many systematics to a minimum
D+ → K−K+p+, p-p+p+
D+ → K−K+p+
D+ → p-p+p+
193 pb-1
CDFII
~55000 events
80pb-1
~42500 events
80fb-1
K−K+p+
K+K-p-
BABAR
m(p-p+p+)
8/25
p+
p-
K*0K+
K*0K-
m2(p-p+)
Giampiero Mancinelli,
University of Cincinnati – CHARM 2007
Phys. Rev. D71, 091101 (2005)
Large statistics gives
access to detailed
features in Dalitz plots
K−K+p+
K+K-p-
m2(p-p+)
http://www-cdf.fnal.gov/physics/new/bottom/040422.dplus/
D0 g KK, pp - I
SM CPV~10-3 in single Cabibbo suppressed modes (KK,pp), but null in Cabibbo
allowed (Kp)
BR(D0->KK) >> BR(D0->pp) (R~2.8) – Large FSI and/or penguin contributions
NP CP asymmetries
Standard Model (Buccella et al, 1995) g KK: (0.01 ± 0.08)%, pp: (0.002 ±
0.001)%
CDF II
Use D0Kp as normalization mode
D0Kp
Yield: 180K
D0KK
Yield: 16220 200
Giampiero Mancinelli,
University of Cincinnati – CHARM 2007
123 pb-1
9/25
Phys. Rev. Lett. 94, 122001 (2005)
Issues:
Tracking charge
asymmetry
partially reconstructed D
background for KK mode
D0pp
Yield: 7334 97
D0 g KK, pp - II
BABAR
Analysis Difficulties:
Precise quantification of asymmetry in D0 flavor tagging
Forward-backward asymmetries in cc production (novel issue)
Interference in e−e+ -> cc as mediated by either a virtual photon or a virtual
Z0.
Higher-order QED box- and Bremsstrahlung-diagram interference effects
Can produce asymmetries due to boost of the CMS relative to the lab at
asymmetric BABAR
Data corrected for charge-dependent detection efficiencies
Giampiero Mancinelli,
University of Cincinnati – CHARM 2007
By tagging with an independent sample of D0 decays
10/25
Systematics:
All corrections used for data will be calculated from data.
Goal: reduce systematics in these measurements to the 0.1% level
Soft-Pion Tagging efficiency corrections calculated from the CF decay (Kp)
With 400 fb-1 we expect:
KK g s(ACP)= ~ 0.3 10-2 (stat.)
pp g s(ACP )= ~ 0.5 10-2 (stat.)
Both results expected to be statistically dominated
CLEO-c’s
New!
At the (3770)
Measurements
281 pb-1
Giampiero Mancinelli,
University of Cincinnati – CHARM 2007
Pure DD final state, no additional
particles
Low particle multiplicity
(DD) = 6.4 nb (U(4S)gBB ~ 1 nb)
Single tag sample
Mostly CF modes
High efficiencies
11/25
Uncertainties ~1% most cases
Charged Kaon tracking largest syst. ~0.7%
SCS
Why Dalitz Plot Analyses?
In case of indirect CPV and final CP eigenstates the time integrated and
time dependent CP asymmetries are:
Universal
Equal to each other
In contrast, for direct CPV:
The time-integrated asymmetries are not expected to be universal
Giampiero Mancinelli,
University of Cincinnati – CHARM 2007
Parts of phase-space might have different asymmetries
12/25
They may even cancel each other out when integrated over the whole
phase-space
New Physics might not show up in the decay rates asymmetries
It could show up simply in the phase difference between amplitudes!
3-Body Dalitz Plot Analyses - I
3-Body decays permit the measurement of phase differences
The Dalitz plot technique allows:
Increased sensitivity to CP asymmetry
Probes the decay amplitude rather than the decay rate.
Giampiero Mancinelli,
University of Cincinnati – CHARM 2007
Access to both CP eigenstates (e.g. D0p0, f0p0, 0p0, …) and non eigenstates
(e.g. D0+-p-+, K*+-K-+, …) with relatively high statistics in the modes D0pp+p0, D0K-K+p0, …
13/25
As measurements are normalized to the whole phase space, the flavor
dependence of ps tagging efficiency is null and the effect of mistagging is
very small.
CLEO
D0p-p+p0 - Difference in the integrated coherent sum of all amplitudes across
the Dalitz Plot between D0 and D0 events
D0gKSp-p+ - Full Dalitz analysis (see next slide)
3-Body Dalitz Plot Analyses - II
BABAR (expect results this Fall)
D0p-p+p0
D0p-p+p0, D0K-K+p0
14/25
MODEL INDEPENDENT approach: use moments of
the cosine of the helicity angle for each of the
three channels ( h-h+, h-p0, h+ p0); plot vs invariant
mass.
Measure asymmetry in these moments.
The phase/interference information is (mostly)
contained in the odd moments
Decay rate asymmetry is contained in the even
moments.
D0→ρ0π0
b=0
 =0
MC
Follows CLEO’s KSpp analysis technique,
(Phys.Rev.D70:091101,2004).
m2(p-p+)
m2(p-p+)
Giampiero Mancinelli,
University of Cincinnati – CHARM 2007
Parameterize the amplitude coefficients explicitly in
the form:
A eiδ = a ei(α + β) (1 + b/a)
(for D0)
A' eiδ' = a ei(α - β) (1 - b/a)
(for D0)
Calculate |b| / |a|,  values, asymmetries in the fit
fractions for each isobar.
m2(p-p+)
MODEL DEPENDENT approach: fit D0 and D0
Dalitz plots separately, with a resonance (isobar)
model (higher systematic uncertainties)
D0→ρ0π0
b=-0.05
 = -5o
MC
m2(p-p+)
(3770): Quantum Correlation Analysis - I
At the (3770) (CLEO-c)
e+e-  (3770)  D0D0
22% double tagging efficiency (~0.1% @
U(4S))
Same number of DD fully reconstructed
as BB @ U(4S)
Pure JPC = 1-- initial state g CP+
Unique CPV search strategy
Complementary to other experiments
K+
Giampiero Mancinelli,
University of Cincinnati – CHARM 2007
Quantum Correlation Analysis (TQCA):
Due to quantum correlation between D0
and D0, not all final states allowed.
15/25
K
If a D0 (tag) decays to a CP eigenstate f1, CP
conservation requires the recoiling state f2 to
have a definite CP as well, which must be of
opposite sign:
- (since l = 1)
e.g. K+K-  DCP ’’(3770)  DCP  Ksp0 (-1)
+
-
-
e
e+
CP(f1 f2) = CP(f1) CP(f2) (-1)l = CP+
-
D0
l
= CP+
D0
p
p+
(3770): Quantum Correlation Analysis - II
New!
Giampiero Mancinelli,
University of Cincinnati – CHARM 2007
Reconstruct both D mesons (double tag)
16/25
Forbidden
by CP
Conservation
CP+
CP+
CP-
CP-
CP+
CP-
Kp
Kp
Kp
Kp
Kp
CP±
CP±
Kp
Interference of Cabibbo
Favored with Doubly
Cabibbo Suppressed
X
Kln
Unaffected
Improved technique + KL CP+ modes
281 pb-1
Maximal constructive
interference
Forbidden (Bose
Symm., if no D mixing
Interference: Two
paths to K-p+ vs K+p-
<Kp|D0>/<Kp|D0> = rei
Data favors QC interpretation: constructive
and destructive interference and no D mixing
Data consistent with no C+ initial state,
(s~1.5%, stat dominated) “hence” no CPV
CP+ vs CP+
CP- vs CPCP+ vs CPK-p+ vs K-p+
K-p+ vs K+pKp vs CP+
Kp vs CP-
cos = 1.06  0.19  0.06
T Violation: T-odd Correlations
Method searches for Triple Product
Asymmetries in (e.g.) D0 → K−K+p−p+
T-odd correlations can be formed
using the momenta of the decay
products (and assuming validity of
the CPT theorem):

Giampiero Mancinelli,
University of Cincinnati – CHARM 2007
C T  pK   pp   pp 
17/25

Under time reversal T, CT →−CT .
CT<>0 does not necessarily
established T-Violation, because
FSI can “fake” this asymmetry(*)
Consider D0 → K+K-p+pwhere we can compute:

C T  pK   pp   pp 
Finding:
C T   CT
establishes T violation.
We can build T-odd asymmetries as:
AT 
  CT  0     CT  0 
  CT  0     CT  0 
  CT  0     CT  0 
  CT  0     CT  0 
And the T-Violation asymmetry as:
AT Viol 

AT 
1
 A  AT 
2 T
tests T-Violation even with strong phases
Some references:
E. Golowich and G. Valencia, Phys. Rev. D 40, 112 (1989)
I.I. Bigi, Proceedings of KAON2001, 417 (2001)
(*) I.I. Bigi, A.I. Sanda,‘CP Violation’, Cambridge University Press 2000
T-Violation Measurements
Giampiero Mancinelli,
University of Cincinnati – CHARM 2007
D0 → K−K+p−p+
18/25
Yield: 828
FOCUS
370 fb-1
Yield: ~32000
BABAR
Preliminary
D0 → KS0K+p−p+
FOCUS
Giampiero Mancinelli,
University of Cincinnati – CHARM 2007
Direct CP/T Violation Results – D0 Decays
19/25
Experiment (year)
Decay mode
ACP (%)
CDF (2005)
D0  K+ K-
2.0  1.2  0.6
CLEO (2002)
D0  K+ K-
0.0  2.2  0.8
FOCUS (2000)
D0  K+ K-
- 0.1  2.2  1.5
CDF (2005)
D0  p+ p-
1.0  1.3  0.6
CLEO (2002)
D0  p+ p-
1.9  3.2  0.8
FOCUS (2000)
D0  p+ p-
4.8  3.9  2.5
CLEO (2001)
D0  K0S K0S
- 23  19
CLEO (2001)
D0  p0 p0
0.1  4.8
CLEO (2001)
D0  K0S p0
0.1  1.3
CLEO (1995)
D0  K0S 
2.8  9.4
CLEO (2005)
D0  p+ p- p0
CLEO (2004)
D0  K0S p+ p-
BELLE (2005)
1 (+9-7)  5
Comments
Partial
list
Dalitz plot – integr.
- 0.9  2.1 (+1.6-5.7)
Dalitz plot analysis
D0  K+ p+ p- p-
- 1.8  4.4
A of ratios DCS/CF
FOCUS (2005)
D0  K+ K- p+ p-
- 8.2  5.6  4.7
CLEO (2007)
D0  K- p+
- 0.4  0.5  0.9
CLEO (2007)
D0  K- p+ p0
0.2  0.4  0.8
CLEO (2007)
D0  K- p+ p+ p+
0.7  0.5  0.9
BELLE (2005)
D0  K+ p- p0
BABAR (2007)
New!
- 0.6  5.3
A of ratios DCS/CF
D0  K+ p-
- 2.1  5.2  1.5
A of ratios DCS/CF
BELLE (2007)
D0  K+ p-
2.3  4.7
A of ratios DCS/CF
FOCUS (2005)
D0  K+ K- p+ p-
1.0  5.7  3.7
T violation - TPCor
Ne
w!
Direct CP/T Violation Results – D+ Decays
Giampiero Mancinelli,
University of Cincinnati – CHARM 2007
Experiment (year) Decay mode
20/25
ACP (%)
Comments
BABAR (2005)
D+  K- K+ p+
1.4  1.0  0.8
A of ratios SCS/CF
BABAR (2005)
“
D+  p+
0.2  1.5  0.6
BABAR (2005)
“
D+  K*0 K+
0.9  1.7  0.7
Resonant substructure
of D+  K- K+ p+
CLEO (2007)
D+  K- K+ p+
- 0.1  1.5  0.8
FOCUS (2000)
D+  K- K+ p+
0.6  1.1  0.5
A of ratios SCS/CF
E791 (1997)
D+  K- K+ p+
- 1.4  2.9
A of ratios SCS/CF
E791 (1997)
“
D+  p+
- 2.8  3.6
E791 (1997)
“
D+  K*0 K+
- 1.0  5.0
Resonant substructure
of D+  K- K+ p+
FOCUS (2002)
D+  K0S p+
- 1.6  1.5  0.9
CLEO (2007)
D+  K0S p+
- 0.6  1.0  0.3
CLEO (2007)
D+  K0S p+ p0
0.3  0.9  0.3
CLEO (2007)
D+  K0S p+ p+ p-
0.1  1.1  0.6
CLEO (2007)
D+  K- p+ p+
CLEO (2007)
D+  K- p+ p+ p0
CLEO (2007)
DS+  K+ h
- 20  18
CLEO (2007)
DS+  K+ h’
- 17  37
CLEO (2007)
DS+  K0S p
27  11
CLEO (2007)
DS+  K+ p0
2  29
E791 (1997)
D+  p+ p- p+
FOCUS (2005)
D+  K0S K+ p+ p-
2.3  6.2  2.2
FOCUS (2005)
DS+  K0S K+ p+ p-
- 3.6  6.7  2.3
- 0.5  0.4  0.9
1.0  0.9  0.9
- 1.7  4.2
New
!
Ne
w!
A of ratios SCS/CF
T violation through triple
product correlations
Partial
list
Average Result, by Mode
Giampiero Mancinelli,
University of Cincinnati – CHARM 2007
Decay mode
21/25
ACP (%)
D0  K+ K
+ 1.4 ± 1.2
D0  KS0 KS0
 2.3 ± 1.9
D0  p+ p
HFAG
+
my averages
Decay mode
ACP (%)
D+  K- p+ p+
- 0.5  1.0
D+  K- p+ p+ p0
+ 1.0  1.3
+ 1.3 ± 1.3
D+  KS0 K+
+ 7.1 ± 6.2
D0  p0 p0
+ 0.1 ± 4.8
D+  K+ K p+
+ 0.6 ± 0.8
D0  p+ p p0
+ 1 ± 9
D+  p+ p p+
 1.7 ± 4.2
D0  KS0 p0
+ 0.1 ± 1.3
D+  KS0 K+ p+ p
 4.2 ± 6.8
D0  K p+
- 0.4 ± 1.0
D0  K p+ p0
+ 0.2 ± 0.9
D0  K p+ p+ p-
+ 0.7 ± 1.0
D0  K+ p
 0.8 ± 3.1
D0  K+ p p0
 0.1 ± 5.2
D0  KS0 p+ p
 0.9 ± 4.2
D0  K+ p p+ p
 1.8 ± 4.4
D0  K+ K p+ p
 8.2 ± 7.3
D+  KS0 p+
 0.9 ± 0.9
D+  KS0 p+ p0
+ 0.3 ± 0.9
D+  KS0 p+ p+ p-
+ 0.1  1.3
For most references
See the HFAG pages
Partial
list
SCS modes
AT
http://hal9000.mib.infn.it/~pedrini/hfag/charm_asymcp.html
http://hal9000.mib.infn.it/~pedrini/hfag/charm_todd_asym.html
Future Prospects – Current Efforts - I
D0gKK, pp
CDF yield prospects
2M D* tagged D0Kp per 1 fb-1
sACP) ~ 10-3 is achievable with full Tevatron run (4-9 fb-1) - at SM limit
Issue will be if trigger can cope with Luminosity increase
BABAR: 1 ab-1
KK s(A)~0.2% (stat)
pp s(A)~0.3% (stat)
Giampiero Mancinelli,
University of Cincinnati – CHARM 2007
D+ g K+K-p
22/25
BABAR – now s(A)~0.45 (systematically dominated – (syst~0.8))
1 ab-1 s(A)~0.28% (stat)
Dalitz Analysis: fit fractions and phase differences ~ 1% and 1o precisions
D0gp+p-p0 Dalitz Analysis
BABAR 200,000 signal events @ 1 ab-1 in 1s mass region.
s(A) (stat) ~ 0.25 % (integrated)
If the asymmetry is larger, but confined to only a part of the phase-space
or only to certain specific decay(s), or both (constructively) in amplitude
phases and magnitudes, our observation potential might be higher (or lower
if destructively)
Future Prospects – Current Efforts - II
T-Odd Correlations
BABAR (KKpp)
now ~ 0.9-0.6% level (if systematics under control)
1 ab-1 0.55-0.35%
Relevant datasets I am aware of (larger backgrounds than KKpp):
Giampiero Mancinelli,
University of Cincinnati – CHARM 2007
CLEO: D0gp+p-p+p- 7,300 - D0gp+p-p0p0 2,700 – D+gp+p-p+p0 5,700
BABAR: D0gp+p-p+p- - current ~140,000 – 1 ab-1 ~320,000
+ many large CF decays datasets from all 3 experiments
23/25
NOTE: Expect similar yields/results from BELLE
Future Prospects – Future Efforts
BESIII – SUPER-D-too Factory (KEK and/or Frascati) – LHCb
BEPCII/BESIII
Data taking beginning of 2008 - 3
yrs @ 3770 = 30M DD/yr = 90M
DD = ~20 times full CLEO-c
dataset
Giampiero Mancinelli,
University of Cincinnati – CHARM 2007
Super-B (D, t…)
24/25
10 ab-1/yr at U(4S)
With option to lower energy to ~4
GeV (~1ab-1/yr)
LHCb
Will implement a dedicated D*
trigger stream selecting huge and
clean samples of hadronic D
modes
In one year of running at nominal
lumi (2·1032 cm-2s-1):
Expect 250 - 500 M D* 
D0p decays with D0Kp
channel = 100 times CDF !
K-K +
A < 0.08 (CLEO-c), < 0.004 (BESIII)
s(A) ~1 x 10-4 (stat.) LHCb/yr
s(A) ~6 x 10-5 (stat.) Super-B/yr
(3770) Quantum Correlation Analysis
A < 0.025 (CLEO-c)
s(A) ~0.01 (just KK, pp) (BESIII)
s(A) ~7x 10-4 (stat.) Super-B/yr
KSp-p+ Dalitz analysis
Super-B (5 years = 50 ab-1) A < 5 10-4
Conclusions
Charm physics provides unique opportunities for indirect search of NP
Theoretical calculation of x, y have large uncertainties
Physics BSM hard to rule out from D0 mixing measurements alone
Observation of (large) CPV g robust NP signal
SCS D decays now more sensitive to gluonic penguin amplitudes than
charmless B decays
Giampiero Mancinelli,
University of Cincinnati – CHARM 2007
Exciting new results (CLEO, Belle,
BABAR):
25/25
Total errors ~1% level
BUT far from observation
Now entering the interesting domain
Promising future:
Current experiment ~0.1-0.3% in the
“best” modes
Future efforts (Super-Bs, LHCb,
BESIII) ~ 0.001-0.01%