1 Stefan Spanier Search for New Physics with B-Mesons Search for New Physics with B-Mesons Stefan Spanier University of Tennessee
1Stefan Spanier
Search for New Physicswith B-Mesons
Search for New Physicswith B-Mesons
Stefan SpanierUniversity of Tennessee
2Stefan Spanier
DarkEnergy:~70% Dark
Matter:~25%
• Energy budget of Universe
Antimatter: 0% ~25%
~70%
3Stefan Spanier
• Understanding the Small = Understanding the Big ?
In Big-Bang Cosmology Universeinitially contained equal amounts of matter, anti-matter and photons
Most particles & anti-particlesannihilated each other while the Universe was still very dense to form photons.
Today’s (visible) Universehas a lot of cosmic micro-wave photons and a tinybit of matter: One baryon per109 microwave photons.Only one anti-particle per109 particles.
Sometime a process distinguishing particles from anti-particles was at work…
T< 3K
matteranti-matterphotons
4Stefan Spanier
• Baryogenesis
q
q
q_
q_
q_
q_q_
q
B symmetric
B anti-symmetric
q q,l_Rate r
q,lq_
Rate r_
Condition I Condition II : r r CP Violation_
Condition III
freeze out
q
q_
Non-equilibrium
_
Standard Model provides the ingredients !
Toy Model of Baryogenesis
3 fundamental conditions to construct a baryon asymmertyA. Sakharov
Disclaimer: There are many realizations, but all need CP violation.
5Stefan Spanier
• Standard Model - CP SymmetryC : charge conjugation (particle – antiparticle)P : parity P x = -x , P( x v ) = ( x v )
For decay of particle X into final state f:
CP ( X f ) = X f
• A difference between decay rates of a particle and its Anti-particle impliesCP violation.
CP violation can be ingredient toexplain ratio of matter to anti-matter.
- C and P maximally violated in the Standard Model
- 1964 CP violation observed in neutral kaon decays !
_ _x
-x
6Stefan Spanier
CP violation in the Standard Model is10 orders of magnitude too small !
It may havehappenedhere ! But …
1015 K Electroweak Era (100 GeV)1013 K Quark-Hadron transition
(1 GeV)
109 K Nucleosynthesislight elements created
20 K Galaxies form
3 K Today
1028 K Grand Unification Transition
10-10 s10-6 s
1 min
1 Byr
14 Byr
10-35 s
Something else has happened !B-factory can reach > 1016 K …~
SM Higgs is heavy (125 GeV [LHC]) no departure from thermal equilibrium
7Stefan Spanier
u c t d s bd s b u c t
e- e e e+
• Standard Model of Particle Physics
C: Charge conjugation symmetry
In today’s accelerators (cosmic rays) particles and anti-particles are created and annihilate in pairs !
ud
u
p :_
__
_
C p = p_
_ _ _
_ _ _
_ _ _
Charge+ 2/3- 1/3
-1
0
Charge+ 1/3- 2/3
0
+1
Quarks
Leptons
mass
B=1/3
L=1
particles anti-particles
B=-1/3
anti-proton
L=-1
C
Standard Model
Baryon number
Lepton number
8Stefan Spanier
• CP Violation in the Standard ModelWb c,u
()
(0,0) (1,0)
b uarg( )
d targ( )
CP magnitude ~ triangle area)
u c t
ds b
~1
- parametrize transitions with 3 strengths and one complex phase
the phase is accessiblewith B mesons !
/
DK, K… J/ K0 , K0, D*D* …
,
Branching Fractions < 10-4
b_
d
CKM matrix
9Stefan Spanier
• CP Violation Phenomenology To observe CP-violation (phase) a particle decay needs to dependon at least two complex amplitudes A1 and A2
decay rate amplitude2
• Only one amplitude: |A1 |
2 = |a1ei1|2 = |a1|2
rate not sensitive to phase
• Two amplitudes: |A1 + A2|
2 = |a1 ei1 + a2 ei2|2
= a12 + a2
2 + 2 a1 a2 cos(1 – 2)
rate depends on phase
Quantum Mechanics 101
10Stefan Spanier
• Relevant Amplitudes in B-Meson DecaysTree amplitude Penguin Amplitude
weak coupling ~Vcb Vcs * ~Vtb Vts
*
W
e.g. B0 J/ K0S e.g. B0 K0
S
W
b cc
s
d d
J/
K0S
_ _
_
_
gluon
b t
d
_
K0S
B0B0
ss
_
sd
_
_
d d
s
s Ks
η’
B0 g
g~b s
+(δ 23
dRR)b
~R
s~R
• Penguins allow for Physics Beyond the Standard Model !
• Different Penguins in different wayse.g. additional Phase from
Supersymmetry ?
b
d
b
dnew couplingStudy Penguins !!!
s
ds
ss
sd
s
_
__
K0S
11Stefan Spanier
• Direct CP Violation
Short range, long range (rescattering) hadronic interactions need
to be understood ! New Physics can change the expected rates.
Rate difference:
)sin()sin(,
jijiji
jiaa2- RR
•CP violation Rate(B0 f ) Rate(B0 f )_ _
hadronictime
i : weak phases i : strong phases
ii iii eea iA
12Stefan Spanier
From 454 million neutral B decays reconstruct 1606 signals.Challenge: distinguish K+- from +- and K+K- which are also present.
0
0
BB K
K
BABAR
AsymmetryNK-+
NK+-
NK+-NK-+
-+
= -0.133 0.030stat 0.009syst
_
Significant asymmetry (13%) is 100,000 stronger than the one measured in neutral kaon decays.
4.2
Bang on Standard Model expectation
[ Phys.Rev.Lett. 93 (2004) 131801]
• Direct CP Violation in B0K+- (B0K-+)
13Stefan Spanier
• B0 B0 Oscillation Measurement
Amix(t) =unmix – mix unmix + mix
Bd0Bd
0_
Wb d
bd t-W
- -
t
B0, B0 can oscillate (mix) into each other one more amplitude_
Box amplitude:~ Vtb Vtd
*
Characteristic decay products tag the B0 flavor:
_
6.3 ps 12.6 ps
N(e+e-) – N(e-e-/e+e+)N(e+e-) + N(e-e-/e+e+)
=
md = 0.493 0.012stat 0.009sys ps-1
D
-cW+
e
e+
D-
D cos (md t) (t)
W -e
e-
c
14Stefan Spanier
• CP Violation in Interference between Mixing and Decay Observe as an asymmetry between transitions of particle % anti-particle.The cleanest way is via a decay of B0 into a CP eigenstate:
B0
B0e+e-Y(4S)
B0_
_J/ K0
S / K0S
time
sin2 = 0 : no CP violationsin2 0.7 : expected in Standard Model for J/ K0
S and K0S
with 4% theoretical uncertainty in SM, only.
(golden modes)
flavor tag
Quantumentangled
mixing
contains CP phase)
15Stefan Spanier
• CP Violation in Interference between Mixing and Decay Observe as an asymmetry between transitions of particle % anti-particle.The cleanest way is via a decay of B0 into a CP eigenstate:
B0
B0e+e-Y(4S)
B0_
_ K0S
time
flavor tag
Quantumentangled
mixing
+ direct CP violation
16Stefan Spanier
Use Electron-Positron collider– Y(4S) resonance decays nearly 100% into B-meson pairs (B+B-,B0B0)– Accelerator can be tuned in; production just above threshold – Clean environment– Coherent B0B0 production b
be-e+
d
d
Y(4s)
L = 1
d ~ 30 m
mass(B) = 5.28 GeV/c2
uu,dd,ss ~ 2.1 nbcc ~ 1.3 nbbb ~ 1.05 nb
hadronse+
e-
[CLEO]
(energy)
OffOn
)MeV(ME )S4(CM
PEP-IIBABAR
_
_
-
• B Meson Production
17Stefan Spanier
• Asymmetry Measurement with BaBar
B Decay Time (ps)
perfect time resolution
resolution function
LEP/CDF
B Factoriesperfect time resolution
B Decay Time Difference (ps)
e- : 9 GeV
e+ 3 GeV
BJ/
ee
KS
B
, e, K
z
Lorentz Boost =0.56z> = <t>c ~ 250 m
L
Flavor tagPartial reconstruction
Full reconstruction
.. instead of ~ 30 m in CM
18Stefan Spanier
1650 mA e-
2500 mA e+
4 ns bunch spacing~ 8 BB pairs / s
BaBa
r in
tegr
al lu
min
osit
y fb
-1
Run1
Run2
Y(4s) - 40 MeV
Run3
Run4
Run5330 M BB pairs
2000 2006
20Stefan Spanier
• BaBar Detector
e-
e+
1.5T Solenoid
Instrumented Flux Return19 layers of RPCsLimited Streamer tubes in upper/lower barrel sextant
Silicon Vertex Tracker5 layers of double sided Si strips
Electromagnetic Calorimeter6580 CsI(Tl) crystals
Drift Chamber40 axial stereo layers
DIRC144 synthetic fused silica bars11000 PMTs
21Stefan Spanier
• The Cherenkov Detector B
, e, K
(~80%)
identify particle by measuring C , with momentum p is known from tracking:
Cher
enko
v an
gle
[rad
]
track momentum [GeV/c]
in quartz
cosC () = n() v/c
identify particle alsoby measuring thenumber of photons N
for certain d
Num
ber
of p
hoto
ns
track momentum [GeV/c]
N L sin2CL = pathlength in medium
22Stefan Spanier
• The DIRC
water n3
water
4.9 m 1.17 m
35 mm x 17 mm
Pinhole focus
C
4 synthetic fused silica barsglued together
air n2
Typical DIRC photon: 400 nm, ~ 200 bounces, ~ 5 m path in quartz.
23Stefan Spanier
• DIRC Parts
- 12 DIRC sectors- each has one aluminum box with
12 quartz bars kept in nitrogen atmosphere
24Stefan Spanier
• DIRC Parts • 6000 liters pure, de-ionized water• 10,752 conventional photo tubes - immersed directly in water, - hexagonal light catchers- max quantum efficiency@410 nm
25Stefan Spanier
In a typical multihadron event11 randomly distributed photonsand ~240 signal photons (8 tracks)
ttravel
z
• Reconstruction predict photon arrival time from geometry
(t) = 1.7 ns time resolution
± 8 ns window
3D
26Stefan Spanier
Energy-substituted mass Energy difference Event shape
Main background from continuum events:Some standard discrimination variables:
2*2*BbeamES pEm **
beamB EEE
eventsBB
eventsqqee
csduqqqee ,,, ,
* = e+e CM frame
• Event Variables
28Stefan Spanier
sin2β = 0.722 0.040 (stat) 0.023 (sys)
J/ψ KL (CP even) mode(cc) KS (CP = -1) modes
Standard Model Value with high precision.
• The Golden Standard Model Mode
29Stefan Spanier
0 0LB K0 0
SB K K K
full backgroundcontinuum bkg
Golden Modes
CP = +1CP = -1
The KL reconstruction is a proof of principle for other charmless modes.Likelihood fit considering signal and background + calibration data …
• B0 K0 - The Penguin Mode
after signal prob. cut after signal prob. cut
30Stefan Spanier
B0KS
B0KL
0tagB
0tagB
0tagB
0tagB
Largest systematic error due to K+K- S-wave: content determined with a moment analysis
• B0 K0 combined likelihood fit
after signal prob. cut
31
KS00
K0
K+K-K0
’K0
sin2
Naïve average of sin2 is 8.3 from 0and discrepancy to SM is 2.8
• Measurements of CP in Penguins
Standard Model
sin2
Dire
ct C
P Vi
olat
ion
CP in Interference between Mixing & Decay
?
Particle Production at LHC
Rate = L cross section, L = Luminosity, = Decay Probability
7 TeV
7 TeV
Soft Scattering Dominates
• Higgs Rate < 0.1 Hz• b-quark production ~108 higher background for any heavy
particle search
• CP violation measured with high precision by the BaBar and Belle in the Bd system in mixing+decay no significant deviation from the Standard Model
• CP violation in mixing O(10-3) in the SM. In Bs system
Search for New Physics in Bs Decays
u,c,t
ubuscbcstbts VVVVVV *** Bs
Bd ubudcbcdtbtd VVVVVV ***
s
d~ 0.004 (SM)
u,c,t
cbcsVV *
cbcsVV *Motivation: indirect access to NP (New Physics) via CP
34
StrategyWe measure CP-violation via the time dependent decay rate for untagged Bs angular analysis is required to split CP-even and CP-odd components of the decay amplitude
0→1 1 so L=0,1,2P=(-1)L → CP=±1 Transversity Basis
{cos,,cos}
The CMS Detector
TRACKER
MUONENDCAPS
Cathode Strip Chambers (CSC) positionResistive Plate Chambers (RPC) time
Resistive PlateChambers (RPC) timing
Drift Tubes (DT) position
66M Silicon Pixels, 3layers (barrel), 2 forward disksSilicon Strips: 10 barrel layers, 3+9 disks
ECAL Scintillating PbWO4 Crystals
HCALPlastic scintillator&Brass
SOLENOIDB = 3.8 T
MUON BARREL
=1.2
2.4
Standard Model Physics – Rare DecaysBs
0μ+μ- and B0μ+μ-
strongly suppressed in the SM• forbidden at tree level• Cabibbo suppressed• helicity suppressed• require an internal quark annihilation
Decay BF SM
Bs0 → μ+μ− (3.7 ± 0.2) × 10−9
B0 → μ+μ− (1.1 ± 0.1) × 10−10
Buras arXiv:1009.1303.
b
)(dsuct ,,
b
)(ds
W+
W-W+
Z0t
t0~
l~d~0~
h0,H0H+
New Physics sensitivity comparable to e, B
Non-Observation binds parameter space Complementary to direct searches at LHC
43Stefan Spanier
• B mesons are a laboratory to study indirectly new physics.
• CP violation is a necessary ingredient in a baryon-dominated Universe and required in any New Physics.
• BaBar was a very successful e+e- collider experiment
which observed significant CP asymmetries.
• The exploration continues with LHC.
• B mesons continue to be a very good tool to probe
physics beyond the Standard Model.
Conclusions