view on recent results from lhcb
DESCRIPTION
View on Recent Results from LHCb. Niels Tuning on behalf of the LHCb collaboration. Disclaimer. In the rest of the talk I will assume the speed of light to be constant and that particles cannot travel faster than c. “Box” diagram: Δ B=2. s. b. s. b. b. μ. s. μ. - PowerPoint PPT PresentationTRANSCRIPT
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View on Recent Results from LHCb
Niels Tuningon behalf of the LHCb collaboration
30 Nov 2011 Niels Tuning - View on Recent Results of LHCb - APPS2011 1/60
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Disclaimer
• In the rest of the talk I will assume the speed of light to be constant and that particles cannot travel faster than c.
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Search for new particles or forces via their virtual loop contributions in B decays
1) CP Violation: Search for CP asymmetries incom- patible with SM fits. Study of couplings of New PhysicsExamples:1. Bs
0 →J/ψφ
2) Rare Decays: Search for enhanced BR’s or decay distributions that deviate from SM
Examples:2. B0 →K*μμ3. B0
s →μμ
b
s
s
b
“Box” diagram: ΔB=2
b s
μ
μ
“Penguin” diagram: ΔB=1
Search for New Physics with B-physics
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B0 mixing pointed to the top quark:
Reminder: Mixing and Rare Decays for discoveries
ARGUS Coll, Phys.Lett.B192:245,1987
bd
db
30 Nov 2011 Niels Tuning - View on Recent Results of LHCb - APPS2011
d s
μμ
K0→μμ pointed to the charm quark:
GIM, Phys.Rev.D2,1285,1970
…
…
…
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Menu: LHCb “Superstars”
1) B0s → J/ψφ
2) B0 → K*μμ
3) B0s → μμ
30 Nov 2011 Niels Tuning - View on Recent Results of LHCb - APPS2011
b
s
s
b
“Box” diagram: ΔB=2
b s
μ
μ
“Penguin” diagram: ΔB=1
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Other LHCb talks: today: W. Hulsbergen in BSM session tomorrow N. Serra in discrete symmetries session
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Menu: LHCb “Superstars”
1) B0s → J/ψφ
2) B0 → K*μμ
3) B0s → μμ
30 Nov 2011 Niels Tuning - View on Recent Results of LHCb - APPS2011
B0→K*μμ
B0s→μμ
B0s→ J/ψφ
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Commonality: “FCNC”
1) B0s → J/ψφ
2) B0 → K*μμ
3) B0s → μμ
30 Nov 2011 Niels Tuning - View on Recent Results of LHCb - APPS2011
B0→K*μμ
B0s→μμ
B0s→ J/ψφ
b
s
γ
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Commonality: “FCNC”
1) B0s → J/ψφ
2) B0 → K*μμ
3) B0s → μμ
30 Nov 2011 Niels Tuning - View on Recent Results of LHCb - APPS2011
B0→K*μμ
B0s→μμ
B0s→ J/ψφ
b
s
γ
t
W
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Commonality: “FCNC”
1) B0s → J/ψφ
2) B0 → K*μμ
3) B0s → μμ
30 Nov 2011 Niels Tuning - View on Recent Results of LHCb - APPS2011
B0→K*μμ
B0s→μμ
B0s→ J/ψφ
b
sW
t
W
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1) B0s → J/ψφ
2) B0 → K*μμ
3) B0s → μμ
30 Nov 2011 Niels Tuning - View on Recent Results of LHCb - APPS2011
(4/3
)A
FB
Sensitive to NP: appetizer
B0→K*μμ
B0s→μμ
B0s→ J/ψφ
10/60
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Status before Summer
30 Nov 2011 Niels Tuning - View on Recent Results of LHCb - APPS2011
CD
F, arXiv:1107.2304
BA
BA
R: PR
L 102, 091803 (2009)
CD
F: Note 10047 (2010)
Belle: PR
L 103, 171801 (2009)
CD
F, Conf N
ote 10206
1) B0s → J/ψφ
Decreased 3σ→ 1σ
2) B0 → K*μμ Hint for deviaton
3) B0s → μμ
SM p-value 1.9%
B0→K*μμ
B0s→μμ
B0s→ J/ψφ
φs
mB 11/60
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23 sep 2010 19:49:24Run 79646 Event 143858637
The LHCb Detector
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InteractionPoint
Suppress background, σ(MB)B0 →K*μμB0
s →μμ
Lifetime,
B0s → J/ψφ
PIDB0→K*(Kπ)μμ
The LHCb DetectorB0→K*μμB0
s→μμ
30 Nov 2011 Niels Tuning - View on Recent Results of LHCb - APPS2011
MUON CALO RICH2 T MAGNETRICH1
VELOTT
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LHC and LHCb performance
LHC and LHCb show excellent performance
Analyzed 330 pb-1 for Summer conferences
1011 bb-pairs produced!
30 Nov 2011 Niels Tuning - View on Recent Results of LHCb - APPS2011
Optimal use of LHC beam: “Lumi levelling” at 3.5
1032
(Design was 2.0 1032 !) Max. luminosity for entire
fillWith maximum detector
occupancy
x 4.7
14/60
~0.3 fb-1 for Summer
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Menu: LHCb “Superstars”
1) B0s → J/ψφ
2) B0 → K*μμ
3) B0s → μμ
30 Nov 2011 Niels Tuning - View on Recent Results of LHCb - APPS2011
b
s
s
b
“Box” diagram: ΔB=2
b s
μ
μ
“Penguin” diagram: ΔB=1
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B0s → J/ψφ
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B0s → J/ψφ: Introduction B0
s→J/ψφ
t >0.3 ps N = 8276 ± 94 σ ~ 7 MeV L ~ 337 pb-1
Interfering decay amplitudes:
1) B0s→J/ψφ
2) B0s → B0
s→ J/ψφ
eiφs
30 Nov 2011 Niels Tuning - View on Recent Results of LHCb - APPS2011
A.S.Dighe, I.Dunietz, R.FleischerEur.Phys.J.C6:647-662,1999
NB: Despitehadronic environmentvery clean signals!
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B0s → J/ψφ: Analysis
30 Nov 2011 Niels Tuning - View on Recent Results of LHCb - APPS2011
• Angular analysis
B0s → J/ψφ: Pseudo-scalar →2 vectors CP ~ (-1)L
• Flavour tagging
L=1 A┴ CP= -
L=0,2
A0,A║ CP=+
b: use this b to check if other b oscillated
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B0s → J/ψφ: Analysis
30 Nov 2011 Niels Tuning - View on Recent Results of LHCb - APPS2011
• Angular analysis
B0s → J/ψφ: Pseudo-scalar →2 vectors CP ~ (-1)L
• Flavour tagging
L=1 A┴ CP= -
L=0,2
A0,A║ CP=+
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tagging B
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Intermezzo: Tagging with Bs0→Ds
-π+
1) Need “flavour specific decay” N(Bs
0→Ds-π+) = 9189 ± 147
2) Bs oscillates fast
Bs0→Ds
-π+ or Bs0→B s
0→ Ds+π-
3) Need good proper time resolution
ε: tagging efficiency ω : wrong tag fraction ε(1-2ω)2: tagging power
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LHCb-CONF-2011-050
Amix = (N(B→B)-N(B→B))/ (N(B→B)+N(B→B))Amix = (1-2ω) cos Δmst
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Intermezzo: Tagging with Bs0→Ds
-π+
1) Need “flavour specific decay” N(Bs
0→Ds-π+) = 9189 ± 147
2) Bs oscillates fast
Bs0→Ds
-π+ or Bs0→B s
0→ Ds+π-
3) Need good proper time resolution
ε: tagging efficiency ω : wrong tag fraction ε(1-2ω)2: tagging power
30 Nov 2011 Niels Tuning - View on Recent Results of LHCb - APPS2011 21/60
LHCb-CONF-2011-050
Amix = (N(B→B)-N(B→B))/ (N(B→B)+N(B→B))Amix = (1-2ω) cos Δmst
Bs0→Ds
-π+
LHCb-CONF-2011-050
1-2ω
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B0s → J/ψφ: Analysis
30 Nov 2011 Niels Tuning - View on Recent Results of LHCb - APPS2011
Bs0→Ds
-π+
B0s→ J/ψφ
CP -
CP +
• Angular analysis
B0s → J/ψφ: Pseudo-scalar →2 vectors CP ~ (-1)L
• Flavour tagging ω = 36% εD2 = 3.1±0.8%
PDG: Δms=17.77 ±0.120 ps-1
LHCb: Δms=17.725±0.041±0.025 ps-1
L=1 A┴ CP= -
L=0,2
A0,A║ CP=+
LH
Cb-PA
PER
-2011-010-002L
HC
b-CO
NF-2011-049
LH
Cb-C
ON
F-2011-050
LH
Cb-PA
PER
-2011-021-001
22/60
(preliminary)
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B0s → J/ψφ: Angular Analysis
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B0s → J/ψφ: Results
30 Nov 2011 Niels Tuning - View on Recent Results of LHCb - APPS2011
• Most precise value of φs!
φs=0.13 ± 0.18(stat) ± 0.07(sys) rad
Consistent with SM: φs=-0.03
ΔΓs=0.123 ± 0.029(stat) ± 0.008(sys) ps-1
= SM
LHCb-CONF-2011-049
CDF:Γs=0.076 ± 0.059(stat) ± 0.006(sys) ps-1
D0: Γs=0.19 ± 0.07 (stat) ± 0.015(sys) ps-1
24/60
= 1 σ
ΔΓ
s
φs
(preliminary)
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B0s → J/ψφ: Comparison
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Sub-Summary
1) B0s → J/ψφ
2) B0 → K*μμ
3) B0s → μμ
30 Nov 2011 Niels Tuning - View on Recent Results of LHCb - APPS2011
Most precise measurement of φs
φs=0.13 ± 0.18(stat) ± 0.07(sys) rad
Combine with B0s → J/ψf0
See talk from W. Hulsbergen today
26/60
(preliminary)
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B0 → K*μμ
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B0→K*μμ: Motivation Hadronic uncertainties largely cancel
in angular asymmetries Forward-backward asymmetry AFB
easiest
μ-
μ+
K*
θl
Example:
(4/3
)A
FB
30 Nov 2011 Niels Tuning - View on Recent Results of LHCb - APPS2011
A.Ali, Th.Mannel, T.MorozumiPhys.Lett. B273 (1991) 505-512
W.Altmannshofer et al., JHEP 0901:019,2009
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B0→K*μμ: Motivation Hadronic uncertainties largely cancel
in angular asymmetries Forward-backward asymmetry AFB
easiest
Example:
(4/3
)A
FB
30 Nov 2011 Niels Tuning - View on Recent Results of LHCb - APPS2011
A.Ali, Th.Mannel, T.MorozumiPhys.Lett. B273 (1991) 505-512
W.Altmannshofer et al., JHEP 0901:019,2009
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B0→K*μμ: Status
• AFB measured at B-factories and CDF
• All opposite sign for AFB?
Hint of deviation?
30 Nov 2011 Niels Tuning - View on Recent Results of LHCb - APPS2011
Babar, 465M BBPRD 79, 031102 (2009)
Belle, 657M BBPRL 103, 171801 (2009)
CDF 6.8 fb-1
arXiv:1108.0695
SM
SMNB: Size of C7 constrained byBR(B0→K*γ) but not the sign.
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B0→K*μμ: at LHCb
30 Nov 2011 Niels Tuning - View on Recent Results of LHCb - APPS2011
LHCb-CONF-2011-038
J/ψ
ψ'
B0
N = 302 ± 20 L ~ 309 pb-1
• Reject J/ψ and ψ’ resonances • Veto peaking backgrounds• Select with boosted decision
tree E.g. B, J/ψ, K* vtx, FD, IP, …
N(B0→K*μμ) = 302 ± 20 Babar: 60 Belle: 247 CDF: 164
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B0→K*μμ: at LHCb
30 Nov 2011 Niels Tuning - View on Recent Results of LHCb - APPS2011
LHCb-CONF-2011-038
J/ψ
ψ'
B0
N = 302 ± 20 L ~ 309 pb-1
1<q2<6 GeV2
N = 70 ± 10 L ~ 309 pb-1
• Reject J/ψ and ψ’ resonances • Veto peaking backgrounds• Select with boosted decision
tree E.g. B, J/ψ, K* vtx, FD, IP, …
N(B0→K*μμ) = 302 ± 20 Babar: 60 Belle: 247 CDF: 164
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B0→K*J/ψ: Asymmetry
30 Nov 2011 Niels Tuning - View on Recent Results of LHCb - APPS2011
• Validate analysis on B0→K*J/ψ: FL = 0.556±0.015 (Babar:
0.556±0.009±0.010)
AFB = -0.006±0.008
μ-
μ+
K*
θl
NB: q2 = mJ/2 = 9.6 GeV2
33/60
BaBar, PRD 79, 031102 (2009)
signal sideband
(pre
lim
inar
y)
LHCb-CONF-2011-038
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B0→K*μμ: Asymmetry
30 Nov 2011 Niels Tuning - View on Recent Results of LHCb - APPS2011
Ch.Bobeth,G.Hiller,D.van DykJHEP 1107:067,2011
LHCb-CONF-2011-038
• Validate analysis on B0→K*J/ψ: FL = 0.556±0.015 (Babar:
0.556±0.009±0.010)
AFB = -0.006±0.008
• Measure AFB and FL in bins of q2
• Event-by-event acceptance correction
m2μμ=
34/60
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B0→K*μμ: Comparison
30 Nov 2011 Niels Tuning - View on Recent Results of LHCb - APPS2011
J/ψ ψ'
Belle, PRL 103, 171801 (2009)
Babar, PRD 79, 031102 (2009)
CDF, PRL 106, (2011)35/60
LHCb LHCb-CONF-2011-038
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B0→K*μμ: Asymmetry
30 Nov 2011 Niels Tuning - View on Recent Results of LHCb - APPS2011
Ch.Bobeth,G.Hiller,D.van DykJHEP 1107:067,2011
LHCb-CONF-2011-038
Example:
(4/3
)A
FB
• Still limited statistics• Good agreement with SM
W.Altmannshofer et al., JHEP 0901:019,2009
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B0→K*μμ: Comparison
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Sub-Summary
1) B0s → J/ψφ
2) B0 → K*μμ
3) B0s → μμ
30 Nov 2011 Niels Tuning - View on Recent Results of LHCb - APPS2011
Most precise measurement of AFB Zero-crossing point is next
Still limited statistical precision 3x more data on tape
More angular observables available
38/60
U.Egede at alJHEP 0811:032,2008
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B0s → μμ
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B0s→μμ: Motivation
A.Buras et al., Nucl.Phys.B659:3,2003
→ tan → MH+ (GeV)
10x SM10x SM
tanβ=50 mH+=200 GeV
Mt1 =500 GeV, M
t2 =850 GeV1-CL
O.Buchmueller et al. Eur.Phys.J.C64:391-415,2009
Allowed parameter space from fit in constrained MSSM:
5σ di
scov.
CMS @
30/60
fb-1 :
H,A →
τ+ τ−
30 Nov 2011 Niels Tuning - View on Recent Results of LHCb - APPS2011(Direct limits at CMS: Gennai et al. Eur.Phys.J.C52:383-395,2007)
Branching Ratio very sensitive to NP models
BR strongly enhanced in MSSM at large tanβ: tan6/mA4
Example: 10x higher BR for tan=50(20), mH+=800(200) GeV
A.Buras, G.Isidori, P.ParadisiPhys.Lett.B694:402-409,2011
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B0s→μμ: Motivation
A.Buras et al., Nucl.Phys.B659:3,2003
→ tan → MH+ (GeV)
10x SM10x SM
tanβ=50 mH+=200 GeV
Mt1 =500 GeV, M
t2 =850 GeV
O.Buchmueller et al. Eur.Phys.J.C64:391-415,2009
1-CLAllowed parameter space from fit in non-univ Higgs mass (NUHM):
30 Nov 2011 Niels Tuning - View on Recent Results of LHCb - APPS2011
Branching Ratio very sensitive to NP models
BR strongly enhanced in MSSM at large tanβ: tan6/mA4
Example: 10x higher BR for tan=50(20), mH+=800(200) GeV
A.Buras, G.Isidori, P.ParadisiPhys.Lett.B694:402-409,2011
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B0s→μμ: Motivation
A.Buras et al., Nucl.Phys.B659:3,2003
2x10-8
5x10-9
1x10-8
SM-like
1-CL
→ tan → MH+ (GeV)
10x SM10x SM
tanβ=50 mH+=200 GeV
Mt1 =500 GeV, M
t2 =850 GeV
Curves obtained through SuperIso, (eg. F.Mahmoudi, arXiv:0906.0369)30 Nov 2011 Niels Tuning - View on Recent Results of LHCb - APPS2011
Branching Ratio very sensitive to NP models
BR strongly enhanced in MSSM at large tanβ: tan6/mA4
Example: 10x higher BR for tan=50(20), mH+=800(200) GeV
A.Buras, G.Isidori, P.ParadisiPhys.Lett.B694:402-409,2011
42/60
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Analysis based on1) Mass
2) Kinematic / geometrical (eg. τB, IPB, IPSμ, DOCA, isolation, …)
Compare observed to expectation
B0s→μμ: at LHCb
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Candidate B0s→μμ event, 14 June 2011
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B0s→μμ: mass
30 Nov 2011 Niels Tuning - View on Recent Results of LHCb - APPS2011
B0s→μμ?
5.4
LHCb preliminary 2011√s = 7 TeVL ~ 150 pb-1
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B0s→μμ: mass
30 Nov 2011 Niels Tuning - View on Recent Results of LHCb - APPS2011
B0s→μμ?
5.4
LHCb preliminary 2011√s = 7 TeVL ~ 150 pb-1
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B0s→μμ: mass
J/ψ(1S)
(1S,2S,3S)
σ(M) = 16 MeV σ(M) = 40 MeV
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B0s→μμ: mass
J/ψ(1S)
(1S,2S,3S)
30 Nov 2011 Niels Tuning - View on Recent Results of LHCb - APPS2011
σ(m
) (M
eV)
mμμ (MeV)
σ(M)mB = 24 MeV (confirmed with B→ππ decays)
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Linear dependence checked on MC
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B0s→μμ: topological
30 Nov 2011 Niels Tuning - View on Recent Results of LHCb - APPS2011
Kinematic / geometrical:1) B lifetime2) IP μ , IPSμ , pT,μ , min(pT,μ)
3) DOCA 2 muons4) μ and B isolation Combine the info (“BDT”)
Signal (B0(s)→hh)
Background (mass sidebands)
μ
μ
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B0s→μμ: event yields
30 Nov 2011 Niels Tuning - View on Recent Results of LHCb - APPS2011
Analysis based on 300 pb-1
Highest BDT-bin similar to CMS: Observe 2 events, expect:
~0.7 background ~0.8 SM
Expected B0
s→μμ yield (SM)
Les
s ba
ckgr
ound
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(pre
lim
inar
y)
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B0s→μμ: event yields
30 Nov 2011 Niels Tuning - View on Recent Results of LHCb - APPS2011
Analysis based on 300 pb-1
Around Bs mass ±20 MeV: Observe 11 events, expect:
~9.5 background ~1.2 SM
Expected B0
s→μμ yield (SM)
Les
s ba
ckgr
ound
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(pre
lim
inar
y)
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B0s→μμ: Branching Ratio
30 Nov 2011 Niels Tuning - View on Recent Results of LHCb - APPS2011
• Main normalization channels:• B+→J/ψK+
• B0→K+π-
• Bs0→ J/ψφ
Belle: BR(Bs→J/ yf )=1.15 10-3±25%(23.6 fb-1, 20% of available dataset)
R. Louvot, arXiv:0905.4345v2
CDF: fs/(fd+fu)=0.142±12%(ignoring SU(3) breaking effects
and environment dependent)PDG, a.o.: CDF, Phys.Rev.D77:072003,2008
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B0s→μμ: Normalization: fd/fs
fd/fs: Largest uncertaintyin BR determination
R. Fleischer, N. Serra, N.T, Phys.Rev.D82:034038,2010
Novel method:• Use Bs→Ds
-π+ and B0→D-K+
• Main normalization channels:• B+→J/ψK+
• B0→K+π-
• Bs0→ J/ψφ
CDF: fs/(fd+fu)=0.142±12%(ignoring SU(3) breaking effects
and environment dependent)PDG, a.o.: CDF, Phys.Rev.D77:072003,2008
Belle: BR(Bs→J/ yf )=1.15 10-3±25%(23.6 fb-1, 20% of available dataset)
R. Louvot, arXiv:0905.4345v2
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R. Fleischer, N. Serra, N.T, Phys.Rev.D82:034038,2010
Novel method:• Use Bs→Ds
-π+ and B0→D-K+
30 Nov 2011 Niels Tuning - View on Recent Results of LHCb - APPS2011
B0s→μμ: Normalization: fd/fs
LHCb,arXiv:1106.4435 Accepted by PRL
B0→D-K+ B0s→Ds
-π+
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30 Nov 2011 Niels Tuning - View on Recent Results of LHCb - APPS2011
B0s→μμ: Normalization: fd/fs
LHCb,arXiv:1111.2357Submitted Average with semi-leptonic analysis:
• Use Bs→Ds-μ+X and B0→D-μ+X
Combined value for fs/fd:
LEP+Tevatron: fs/fd = 0.271±0.027
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IP of (Ds+μ-)-pairs: Ds mass of (Ds
+μ-)-pairs:
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30 Nov 2011 Niels Tuning - View on Recent Results of LHCb - APPS2011
B0s→μμ: Branching Ratio
L=300 pb-1
ObservedExpected (bkgd+SM)
Expected limit: BR(B0s→μμ)<1.5 x 10-8 @ 95% CL
(bkgd+SM) Observed limit: BR(B0
s→μμ)<1.6 x 10-8 @ 95% CL p-value background only: 14%
BR(B0s → μμ)SM = (0.32 ± 0.02) x 10-8
LHCb-CONF-2011-037
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(preliminary)
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B0s→μμ: LHCb + CMS combination
30 Nov 2011 Niels Tuning - View on Recent Results of LHCb - APPS2011
CMS-PAS-BPH-11-019 ; LHCb-CONF-2011-047
CMS:
Observed limit: BR(B0s→μμ)<1.08 x 10-8
@95%CL p-value background only: 8%
(CMS only: BR<1.9 10-8)
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Sub-Summary
1) B0s → J/ψφ
2) B0 → K*μμ
3) B0s → μμ
30 Nov 2011 Niels Tuning - View on Recent Results of LHCb - APPS2011
Best limit on BR !
BR < 3.4 x BRSM
Plenty of room for NP
The smaller BR, the more critical is knowledge on fd/fs
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Status before Summer
30 Nov 2011 Niels Tuning - View on Recent Results of LHCb - APPS2011
CD
F, arXiv:1107.2304
BA
BA
R: PR
L 102, 091803 (2009)
CD
F: Note 10047 (2010)
Belle: PR
L 103, 171801 (2009)
CD
F, Conf N
ote 10206
1) B0s → J/ψφ
SM p-value 44%
2) B0 → K*μμ Hint for deviaton
3) B0s → μμ
BR(B0s → μμ)=
SM p-value 1.9%
B0→K*μμ
B0s→μμ
B0s→ J/ψφ
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LHCb after Summer
30 Nov 2011 Niels Tuning - View on Recent Results of LHCb - APPS2011
1) B0s → J/ψφ
φs=0.03 ± 0.16(stat) ± 0.07(sys) rad
2) B0 → K*μμ AFB<0
3) B0s → μμ
BR(B0s → μμ)<1.5 10-8
B0s→μμ
B0→K*μμ
B0s→ J/ψφ
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Thank you
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Things I did not show…
30 Nov 2011 Niels Tuning - View on Recent Results of LHCb - APPS2011
1) Charm (and ΔACP)2) B0 → Kπ3) B0
→ DK*, B+ → DK+
4) B0 → K*γ
5) B0s → φφ
6) B*(*) spectroscopy7) Λb
8) Bc+ → J/ψπππ
9) Semi-leptonic10) W/Z
D0→ KK D0→ ππ
B0s→ φφ
B0s→ φγ
B0→ K*γΛb
0→ D0p+π- Λb0→ Λc
+π-
B+c→ J/ψπππ
Z0→μμ
see talk by N.Serra
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BR(B0s→μμ) vs tan6
G.Isidori & P.Paradisi , Phys.Lett.B639:499-507,2006.
Branching Ratio very sensitive to NP models
BR strongly enhanced in MSSM at large tanβ: tan6/mA4
30 Nov 2011 Niels Tuning - View on Recent Results of LHCb - APPS2011
A.Buras, G.Isidori, P.ParadisiPhys.Lett.B694:402-409,2011
A~tan3β62/60
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Example: B→μμK
Think of Fermi…: remove W from theory:
Intermezzo: OPE
30 Nov 2011 Niels Tuning - View on Recent Results of LHCb - APPS2011
e.g. through cc:B→J/(μμ)K
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Example: B→μμK
Think of Fermi…: remove W from theory Add QCD corrections:
Intermezzo: OPE
30 Nov 2011 Niels Tuning - View on Recent Results of LHCb - APPS2011
e.g. through cc:B→J/(μμ)K
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Example: B→μμK
Think of Fermi…: remove W from theory: Add penguin operators:
Intermezzo: OPE
30 Nov 2011 Niels Tuning - View on Recent Results of LHCb - APPS2011
A(B→μμK) = <μμK|Heff|B> ~ GFVtbV*ts Ci<μμK|Oi|B>
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Example: B→μμK
Think of Fermi…: remove W from theory: Add penguin operators:
Ci: Wilson coefficients Calculable
Oi: operators Long distance hadr. eff.
Intermezzo: OPE
30 Nov 2011 Niels Tuning - View on Recent Results of LHCb - APPS2011
“Master formula for weak decays”:
A(B→μμK) = <μμK|Heff|B> ~ GFVtbV*ts Ci<μμK|Oi|B>
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Rare decays: OPE Flavour changing neutral currents (FCNC) Probe V-A structure of SM In HQET expressed in terms of Wilson coefficients NP can appear as new operators, or with modified
coefficients!
effectively:
e.g.
W.A
ltm
anns
hofe
r et
al.,
JH
EP
090
1:01
9,20
09
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Rare decays: OPE
effectively:
B0→K*μμ B0s→μμB0
(s)→K*(φ)γ
O7γ O7γ,O9V,O10A,OS,OP
O10A,OS,OP
In principle both left- and righthanded, O7γ and O7γ’
OS : Scalar current (Higgs)OP: Pseudo-scalar
e.g.
W.A
ltm
anns
hofe
r et
al.,
JH
EP
090
1:01
9,20
09
Highly suppressed in SM
30 Nov 2011 Niels Tuning - View on Recent Results of LHCb - APPS2011
Flavour changing neutral currents (FCNC) Probe V-A structure of SM In HQET expressed in terms of Wilson coefficients NP can appear as new operators, or with modified
coefficients!
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Intermezzo 2: Allowed MSSM parameter space
O.Buchmueller et al. Eur.Phys.J.C64:391-415,2009
Allowed parameter space from fit in constrained MSSM:
shown are the 5-σ discovery contours for observing the heavy MSSM Higgs bosons H,A in the three decay channels H,A → τ+τ− → 1) jets (solid line), 2) jet+μ (dashed line), 3) jet+e (dotted line) at the LHC. The discovery contours have been obtained using an analysis that assumed 30 or 60 fb−1 collectedwith the CMS detector.
CMS,
Gen
nai e
t al.
Eur.P
hys.J
.
C52:3
83-3
95,2
007
constraints. These include precision electroweak data, the anomalous magnetic moment of the muon, (g − 2)μ, B-physics observables (the rates for BR(b → sγ) and BR(Bu → τντ ), Bs mixing, and the upper limit on BR(Bs → μ+μ−)), the bound on the lightest MSSM
Higgs boson mass, Mh, and the cold dark matter (CDM) density inferred from
astrophysical and cosmological data, assuming that this is dominated by the relic density of the lightest neutralino, χh2.
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