LHCb LHCb Upgrade Workshop Edinburgh, January 11–12, 2006 LHCb expected physics –1 performance with 10 fb Olivier Schneider Laboratoire de Physique des Hautes Energies (LPHE) Olivier.Schneider@epfl.ch LHCb The whole idea (unchanged since more than a decade) Given the fact that — LHC will be the facility producing the largest number of b hadrons (of all types), by far, and for a long time — the Tevatron experiments have demonstrated the feasibility of B physics at hadron machines perform a dedicated B-physics experiment at the LHC, but with a new challenge: — exploit the huge bb production in the not-well-known forward region, despite the unfriendly hadronic environment (multiplicity, …) for B physics bb angular correlation in pp collisions at s = 14 TeV (Pythia) • ~ 230 µb of bb production in one of the forward peaks (400 mrad), corresponding to nearly 105 b hadrons per second at a low luminosity of 21032 cm–2s–1 LHCb Upgrade Workshop, Edinburgh O. Schneider, Jan 11, 2007 2 LHCb VELO: Vertex Locator (around interaction point) TT, T1, T2, T3: Tracking stations (before (after this this upgrade upgrade workshop) workshop) RICH1-2: Ring Imaging Cherenkov detectors ECAL, HCAL: Calorimeters M1–M5: Muon stations LHCb spectrometer LHCb-1 spectrometer 1.9 < < 4.9 or 15 < < 300 mrad Dipole magnet VELO proton beam proton beam LHCb Upgrade Workshop, Edinburgh O. Schneider, Jan 11, 2007 3 LHCb LHCb Upgrade Workshop, Edinburgh LHCb pit (in December 2006) O. Schneider, Jan 11, 2007 4 LHCb Pileup and luminosity LHC machine, pp collisions at s = 14 TeV: — design luminosity = L = 1034 cm–2s–1, bunch crossing rate = 40 MHz — average non-empty bunch crossing rate = f = 30 MHz (in LHCb) — Pileup: — L tuneable by adjusting final beam focusing — Choose to run at <L> ~ 21032 cm–2s–1 (max. 51032 cm–2s–1) • Clean environment: <n> = 0.5 • Less radiation damage • Expected to be available from first physics run 1.0 pp interactions/crossing 0 LHCb At LHCb: Probability • n = number of inelastic pp interactions occurring in the same bunch crossing • Poisson distribution with mean <n> = Linel/f, with inel = 80 mb • <n> = 25 at 1034 cm–2s–1 not good for B physics n=0 0.8 0.6 0.4 1 n=1 0.2 2 3 4 — 2 fb–1 of data in 107 s (= nominal year) 31 10 32 10 33 10 Luminosity [cm−2 s−1] LHCb Upgrade Workshop, Edinburgh O. Schneider, Jan 11, 2007 5 LHCb MC studies Technical proposal (1998): — Rough detector description — No trigger simulation — No pattern recognition in tracking — Parametrized PID performance Re-opt. Technical Design Report (2003) — Final detector design — Simulation of L0 and L1 trigger only — First version of full pattern recognition REMINDER of important requirements for B physics —Flexible and efficient trigger • final states with leptons • fully hadronic final states —Excellent tracking: • Track finding efficiency • Momentum and mass resolution • Vertexing, proper time resolution —Particle identification (p/K//µ/e) “DC04” MC datasets (2004–2005): — Detailed material description — First simulation of High-Level Trigger “DC06” MC datasets (2006–2007): — “Final” geometry and material description — Redesigned High-Level Trigger — “Final” reconstruction algorithms Background estimates: – based on a sample of inclusive bb events equivalent to a few minutes of data taking ! – sometimes can only set limits Today’s numbers: mostly from DC04 MC, at <L> = 21032 cm–2s–1 LHCb Upgrade Workshop, Edinburgh O. Schneider, Jan 11, 2007 6 LHCb Expected tracking performance High multiplicity environment: PYTHIA+GEANT full simulation — In a bb event, ~30 charged particles traverse the whole spectrometer RICH1 Track finding: VELO — efficiency > 95% TT for long tracks from B decays (~ 4% ghosts for pT > 0.5 GeV/c) — KS+– reconstruction 75% efficient for decay in the VELO, lower otherwise Magnet T1 T2 T3 Average B-decay track resolutions: — Impact parameter: ~30 µm — Momentum: ~0.4% Typical B resolutions: — Proper time: ~40 fs (essential for Bs physics) — Mass: 8–18 MeV/c2 RICH2 Mass resolution Bs µµ 18 MeV/c2 Bs Ds 14 MeV/c2 Bs J/ 16 MeV/c2 Bs J/ 8 MeV/c2 * * with J/ mass constraint LHCb Upgrade Workshop, Edinburgh O. Schneider, Jan 11, 2007 7 LHCb Particle ID performance Counts Average efficiency: 1200 — K id = 88% — mis-id = 3% No PID 1000 800 600 Good K/ separation in 2–100 GeV/c range 400 — Low momentum 200 • kaon tagging 0 5100 5150 5200 — High momentum • clean separation of the different Bd,shh modes • will be best performance ever achieved at a hadron collider Bd → π+ πBd → K+ πBs → K+ K + Bs → π K Λb → p K Λb → p π 5250 5300 5350 5400 invariant mass 5450 5500 MeV/c2 250 With PID 300 With PID Bd → π+ πBd → K+ πBs → K+ K Bs → π+ K Λb → p K Λb → p π- 250 200 Bd → π+ πBd → K+ πBs → K+ K Bs → π+ K Λb → p K Λb → p π- 200 150 150 100 100 50 50 0 5.1 5.15 5.2 5.25 5.3 5.35 5.4 invariant mass LHCb Upgrade Workshop, Edinburgh 5.45 5.5 GeV/c2 0 5.2 5.25 5.3 5.35 5.4 5.45 5.5 K invariant mass O. Schneider, Jan 11, 2007 5.55 5.6 GeV/c2 8 LHCb Flavour tagging D2=(1–2w)2 Tag Opposite µ 0.7%–1.8% Opposite e 0.4%–0.6% Opposite K 1.6%–2.4% Opposite Qvtx 0.9%–1.3% Same side (B0) 0.8%–1.0% Same side K (Bs) 2.7%–3.3% (B0) 4%–5% Combined (Bs) 7%–9% Combined l- Qvtx K– D B0 B s PV SV K+ Performance assessed on full MC, after trigger and reconstruction Kaon tags are the most powerful, e.g. opposite K (from bcs) All tags combined with neural network Tagging performance depends on how event is triggered ! — will be measured in data using control channels LHCb Upgrade Workshop, Edinburgh O. Schneider, Jan 11, 2007 9 LHCb Trigger performance & rates Algorithms and performance: — Level-0 trigger algorithms mature, 1 MHz output rate — High-Level Trigger (HLT) under development • Prototype available within time budget for a limited set of channels — L0*HLT efficiencies: • Determined using detailed MC simulation • Typically 30%–80% for offline-selected signal events, depending on channel HLT output rates: Output Event type rate — Indicative rates 200 Hz (split between streams 600 Hz still to be determined) — Large inclusive streams 300 Hz to be used to control 900 Hz calibration & systematics (trigger, tracking, PID, tagging) LHCb Upgrade Workshop, Edinburgh Physics Exclusive B candidates High mass di-muons B (core program) J/, bJ/X (unbiased) Charm D* candidates Inclusive b (e.g. bµ) B (data mining) O. Schneider, Jan 11, 2007 10 LHCb Physics performance vs L Rough and quick study: — small DC04 MC samples generated at <L> = 51032 cm–2s–1 for a few representative signal channels — backgrounds not investigated yet (but will be possible with DC06 samples) Preliminary overall conclusion (for L = 2–51032 cm–2s–1): — Significant gain for dimuon channels • yield L — “Statu quo” for hadronic channels • yield ~ constant — Tagging performance seems ~constant (at least for Bs DsK) LHCb Upgrade Workshop, Edinburgh same-side K opp-side K vertex electron muon L = 21032 L = 51032 combined O. Schneider, Jan 11, 2007 11 LHCb Integrated luminosity scenario 2007 (end): — Short pilot run at 450 GeV per beam with full detector installed — Establish running procedures, time and space alignment of the detectors — Integrated luminosity for physics ~ 0 fb–1 2008: — LHC reaches design energy — Complete commissioning of detector and trigger at s=14 TeV — Calibration of momentum, energy and particle ID — Start of first physics data taking, assume ~ 0.5 fb–1 2009–: — Stable running, assume ~ 2 fb–1/year Availability of physics results: — with 0.5 fb–1 in ~2009 — with 2 fb–1 in ~2010 — with 10 fb–1 in ~2014 LHCb Upgrade Workshop, Edinburgh O. Schneider, Jan 11, 2007 12 LHCb Bs µ+µ– Very rare loop decay, sensitive to new physics: — BR ~3.510–9 in SM, can be strongly enhanced in SUSY — Current 90% CL limit from CDF+D0 with 1 fb–1 is ~20 times SM Main issue is background rejection — with limited MC statistics, indication that main background is bµ, bµ — assume background is dominated by bµ, bµ LHCb expected performance: — with 0.5 fb–1: exclude BR values down to SM value — with 2 fb–1: 3 evidence of SM signal — with 10 fb–1: > 5 observation of SM signal LHCb Upgrade Workshop, Edinburgh O. Schneider, Jan 11, 2007 13 10 Bs µ+µ– LHCb limit on BR at 90% CL LHCb sensitivity (only bkg is observed) (signal+bkg is observed) BR (x10–9) BR (x10–9) LHCb 2 10 9 8 7 6 5 observation 5 Expected final CDF+D0 limit 4 SM prediction Uncertainty in bkg prediction 10 3 3 evidence 2 SM prediction 1 0 0.1 0.2 0.3 0.4 0.5 Integrated luminosity (fb–1) LHCb Upgrade Workshop, Edinburgh 1 0 1 2 3 4 5 6 7 8 9 10 Integrated luminosity (fb–1) O. Schneider, Jan 11, 2007 14 LHCb sin(2) with B0J/KS Expected to be one of the first CP measurements: — Demonstrate (already with 0.5 fb–1) that we can keep under control the main ingredients of a CP analysis • in particular tagging extraction from control channels — Sensitivity (from TDR, improved since): ACP (t) = ACP(t) • ~ 216k signal events/2 fb–1, B/S ~ 0.8 stat(sin(2)) = 0.02 With 10 fb–1: — Should be able to reach (sin(2)) ~ 0.010 • to be compared with 0.017 from final BaBar+Belle statistics — Can also push further the search for direct CP violating term cos(mdt) N( B 0 J /KS ) N(B0 J /KS ) N( B 0 J /KS ) + N(B0 J /KS ) 0.2 0 -0.2 P -0.4 -0.6 background subtracted, 2 fb–1 (toy MC) -0.8 0 1 2 3 4 5 6 7 8 9 10 Proper time (ps) LHCb Upgrade Workshop, Edinburgh O. Schneider, Jan 11, 2007 15 LHCb BsDs+ sample and Bs mixing — CDF observed Bs oscillations in 2006: • ms =17.77 ± 0.10 ± 0.07 ps–1 [hep-ex/0609040] compatible with SM — LHCb expectation with 0.5 fb–1: • ~35k Bs Ds+ signal events with average t ~40 fs and Bbb/S< 0.05 at 90% CL stat(ms) = ± 0.012 ps1, i.e. 0.07% • will be completely dominated by systematics on proper time scale, but at most ((B0))/(B0) = 0.5% Entries per 0.02 ps Measurement of ms: Full simulation 0.5 fb–1 (signal only, ms = 20 ps – 1) Importance of BsDs+ sample: Reconstructed proper time [ps – 1] — Normalization channel for all Bs branching fraction measurements • First absolute measurement from Belle, BR(BsDs+) = (0.68 ±0.22 ±0.16)% [hep-ex/0610003], expect soon ~10% measurement — Control channel for all time-dependent analyses with Bs decays • Measurement of dilution on cos(mst) and sin(mst) terms — Important step towards measurement of other Bs mixing parameters • e.g. mixing phase or CP violation in mixing LHCb Upgrade Workshop, Edinburgh O. Schneider, Jan 11, 2007 16 LHCb Bs mixing phase s with bccs s is the strange counterpart of d=2: — svery small in SM — sSM= –arg(Vts2) =–22 = –0.036 ± 0.003 (CKMfitter) — Could be much larger if New Physics runs in the box Golden bccs mode is Bs J/: — Angular analysis needed to separate CP-even and CP-odd contributions — Expect ~130k Bs J/(µµ) signal events/2fb–1 (before tagging), S/Bbb= 8 b B0s s W t t W s 0 Bs b Statistical sensitivities on s for 2 fb–1 Add also pure CP modes such as J/(’), c, DsDs — No angular analysis needed, but smaller statistics Combined sensitivity after 10 fb–1: stat(s) = 0.010 [LHCb-2006-047] — dominated by BsJ/ — systematics (tagging, resolution) need to be tackled — hopefully >3 evidence of non-zero s, even if only SM LHCb Upgrade Workshop, Edinburgh O. Schneider, Jan 11, 2007 17 Constraints on New Physics in Bs mixing from s measurement LHCb SM New physics in Bs mixing parametrized with hs and s : M12 = (1+ h s exp(2i s )) M12 In April 2006, including CDF’s first measurement of ms >90% CL >32% CL >5% CL from hep-ph/0604112 2009 2009 After LHCb measurement of s with (s)= ±0.1 (~ 0.2 fb–1) courtesy Z. Ligeti 2010 After LHCb measurement of s with (s)= ±0.03 (~ 2 fb–1) After LHCb measurement of s with (s)= ±0.1 (~ 0.2 fb–1) from hep-ph/0604112 LHCb Upgrade Workshop, Edinburgh O. Schneider, Jan 11, 2007 18 LHCb bsss hadronic penguin decays Time-dependent CP analysis of penguin decays to CP eigenstates B0 KS: — 800 signal events per 2 fb–1, B/S < 2.4 at 90% CL — After 10 fb–1: stat(sin(2eff)) = 0.14 — Similar to a B factory experiment Bs : — CP violation < 1% in SM (Vts enters both in mixing and decay amplitudes) significant CP-violating phase NP would be due to New Physics — Angular analysis required — 4k signal events per 2 fb–1 (if BR=1.410–5), 0.4 < B/S < 2.1 at 90%CL — After 10 fb–1: stat(NP) = 0.042 LHCb Upgrade Workshop, Edinburgh O. Schneider, Jan 11, 2007 19 LHCb B0 K*0µ+µ Suppressed loop decay, BR ~1.210–6 AFB(s), theory — Forward-backward asymmetry AFB(s) in the µµ rest-frame is sensitive probe of New Physics: • Predicted zero of AFB(s) depends on Wilson coefficients C7eff/C9eff — Other sensitive observables based on transversity angles are accessible (cf A. Golutvin) AFB(s), fast MC, 2 fb–1 Sensitivity s = (mµµ)2 [GeV2] (ignoring non-resonant Kµµ evts for the time being) s = (mµµ)2 [GeV2] LHCb Upgrade Workshop, Edinburgh — 7.7k signal events/2fb–1, Bbb/S = 0.4 ± 0.1 — After 10 fb–1: zero of AFB(s) located to ±0.28 GeV2 determine C7eff/C9eff with 7% stat error (SM) O. Schneider, Jan 11, 2007 20 LHCb Other rare decays B+ K+l+l– decays — µµ/ee ratio equal to 1 in SM: q 2max d(B Kµµ) R K = ds ds 2 4 mµ q 2max 4 m µ2 ds d(B Kee) = 1.000 ± 0.001 ds Hiller & Krüger, hep-ph/0310219 — New Physics can have O(10%) effect — After 10 fb–1: stat(RK) = 0.043 Decay Radiative decays: — K*: • ACP < 1% in SM, up to 40% in SUSY • Can measure at <% level — : • No mixing-induced CP asymmetry in SM, up to 50% in SUSY — : • Right-handed component of photon polarization O(10%) in SM • Can get 3 evidence down to 15% (10 fb–1) LHCb Upgrade Workshop, Edinburgh 2 fb–1 yield Bbb/S B+ K+µµ 3.8k ~1 B+ K+ee 1.9k ~5 Bd K* 35k < 0.7 Bd 40 < 3.5 Bs 9k < 2.4 b (1115) 0.75k < 42 b (1520) 4.2k < 10 b (1670) 2.5k < 18 b (1690) 2.2k < 18 O. Schneider, Jan 11, 2007 21 LHCb from Bs DsK Two tree decays (bc and bu), which interfere via Bs mixing: — can determine s + , hence in a very clean way — similar to 2+ extraction with B0 D*, but with the advantage that the two decay amplitudes are similar (~3) and that their ratio can be extracted from data m = 14 MeV/c2 B0s { bs s }D + s c u }K – s Ds K Ds π 2000 Expect 5400 signal events in 2 fb–1 B0s { bs s }K + u c D } s s 1500 1000 Bbb/S < 1 at 90% CL Bs Ds–+ background (with ~ 15 larger BR) suppressed using PID: residual contamination only ~10% 500 (to be updated soon with DC04 MC) 0 LHCb Upgrade Workshop, Edinburgh 5.3 5.35 5.4 5.45 5.5 2 Bs mass [GeV/c ] O. Schneider, Jan 11, 2007 22 LHCb from Bs DsK Fit the 4 tagged time-dependent rates: + − 0.25 0 − Ds–K+: info on + ( + s) −0.5 0.5 + — expected to be statistically limited 0.5 −0.25 fb–1 Asym (D s K ) () ~ 13° with 2 Both DsK asymmetries 10 fb–1, ms = 20 ps–1) Asym (D s K ) — Extract s + , strong phase difference , amplitude ratio — Bs Ds also used in the fit to constrain other parameters (mistag rate, ms, s …) 0.25 0 −0.25 −0.5 Ds+K–: info on – ( + s) 0 0.5 1 1.5 2 2.5 3 3.5 4 t [ps] LHCb Upgrade Workshop, Edinburgh O. Schneider, Jan 11, 2007 23 LHCb – B { bu from B± DK± colour-allowed – s K } u c 0 D } u b B– u colour-suppressed u }D 0 c s – K } u Weak phase difference = Magnitude ratio = rB ~ 0.08 “ADS+GLW” strategy: — Measure the relative rates of B– DK– and B+ DK+ decays with neutral D’s observed in final states such as: K–+ and K+–, K–+–+ and K+–+–, K+K– — These depend on: • Relative magnitude, weak phase and strong phase between B– D0K– and B– D0K– • Relative magnitudes (known) and strong phases between D0 K–+ and D0 K–+, and between D0 K–+–+ and D0 K–+–+ — Can solve for all unknowns, including the weak phase : () = 5–15° with 2 fb–1 — Use of B± D* K ± under study LHCb Upgrade Workshop, Edinburgh 2 fb–1 yield Bbb/S Decay B– (K–+)D K– 28k ~0.6 B+ (K+–)D K+ 28k ~0.6 B– (K+–)D K– 180 4.3 B+ (K–+)D K+ 530 1.5 O. Schneider, Jan 11, 2007 24 LHCb 0 from B0 D0K*0 b B d colour-suppressed c }D 0 u *0 s K } d 0 b B d colour-suppressed u }D 0 c *0 s K } d Weak phase difference = Magnitude ratio = rB ~ 0.4 Treat with same ADS+GLW method — So far used only D decays to K–+, K+–, K+K– and +– final states () = 7–10° with 2 fb–1 LHCb Upgrade Workshop, Edinburgh Decay mode (+cc) 2 fb–1 yield Bbb/S B0 (K+–)D K*0 3400 <0.3 B0 (K–+)D K*0 500 <1.7 B0 (K+K–, +–)D K*0 600 <1.4 O. Schneider, Jan 11, 2007 25 LHCb Sensitivities to from BDK decays Method (), 2 fb–1 B mode D mode B+ DK+ K + KK/ + K3 ADS+GLW B+ D*K+ K ADS+GLW B+ DK+ KS Dalitz 8º B+ DK+ KK 4-body “Dalitz” 15º B+ DK+ K 4-body “Dalitz” Under study B0 DK*0 K + KK + ADS+GLW B0 DK*0 KS Dalitz Bs DsK KK tagged, A(t) 5º–15º Under study Signal only, no accept. effect 7º–10º Under study 13º All channels combined (educated guess): — () = 4.2º with 2 fb–1 — () = 2.4º with 10 fb–1 LHCb Upgrade Workshop, Edinburgh O. Schneider, Jan 11, 2007 26 LHCb Sensitivity to SU(2) analysis of B0 +–, ±0, 00: — Main LHCb contribution could be B0 00 Time-dependent Dalitz plot analysis of B0 +–0 (Snyder & Quinn) +– –+ ∆χ2 — 14k signal events/2fb–1, B/S ~1 120 2 vs Mean RMS 250 70 expts superimposed (2fb–1) 100 average 80 7.243 2.337 Distribution of fit error 200 15% (< 1%) fake solutions with 2 (10) fb–1 150 gen 60 00 100 40 50 20 0 0 0 20 40 60 80 100 120 140 160 180 0 2 4 6 8 10 12 14 16 18 20 stat() < 10º in 90% of the cases (2 fb–1) o α( ) LHCb Upgrade Workshop, Edinburgh O. Schneider, Jan 11, 2007 27 LHCb Impact of LHCb on UT LHCb + LQCD only 10 fb–1 (2014) η η 2 fb–1 (2010) LHCb (2 fb–1, 10 fb–1): γ 1 — LHCb: — (sin(2)) = 0.02, 0.01 — () = 4.2º, 2.4º — () = 10º, 4.5º γ 1 ∆md ∆ms β 0.5 ∆md ∆ms β 0.5 Lattice QCD (2010, 2014): 0 — 40, 1000 Tflop year — ()/ = 2.5%, 1.5% 0 -0.5 -0.5 α -1 α Central values: — SM assumed (just for illustration) -1 -1 -0.5 0 0.5 ( ) / = 7.1% ( ) / = 3.9% 1 -1 ρ -0.5 0 0.5 ( ) / = 3.6% ( ) / = 1.8% 1 ρ From V. Vagnoni, CKM workshop, Dec 2006 LHCb Upgrade Workshop, Edinburgh O. Schneider, Jan 11, 2007 28 from B0+ and BsK+K Penguin decays, sensitive to New Physics Measure CP asymmetry in each mode: ACP (t) = Adir cos(mt) + Amix sin(mt) — Adir and Amix depend on mixing phase, angle , and ratio of penguin to tree amplitudes = d ei Probability density LHCb — 36k B0+, B/S ~ 0.54 36k BsK+K, B/S < 0.14 — Sensitivity to Adir and Amix ~twice better than current world average LHCb Upgrade Workshop, Edinburgh Probability density With 2 fb–1: If perfect U-spin symmetry assumed 0.01 stat() = 4° 0.005 00 Exploit U-spin symmetry (Fleischer): — Assume d=dKK and =KK — 4 measurements and 3 unknowns (taking mixing phases from other modes) can solve for 2 fb–1 0.006 50 100 150 degrees If only 0.8<dKK/d<1.2 assumed 2 fb–1 0.004 stat() = 7–10° + fake solution 0.002 00 50 100 O. Schneider, Jan 11, 2007 150 degrees 29 LHCb Charm physics Foresee dedicated D* trigger: — Huge sample of D0h+h– decays — Tag D0 or anti-D0 flavor with sign of pion from D*D0 Performance studies not as detailed as for B physics — just started Potentially usable statistics in 10 fb–1 D* D0(hh) 500M D*-tagged D0K+K– from b-hadrons 25M D*-tagged WS D0K+– from b-hadrons 1M Interesting (sensitive to NP) & promising searches/measurements: — Time-dependent D0 mixing with wrong-sign D0K+– decays — Direct CP violation in D0K+K– • ACP 10–3 in SM, up to 1% (~current limit) with New Physics • Expect stat(ACP) ~ O(10–3) with 2 fb–1 — D0µ+µ– • BR 10–12 in SM, up to 10–6 (~current limit) with New Physics • Expect to reach down to ~510–8 with 2 fb–1 LHCb Upgrade Workshop, Edinburgh O. Schneider, Jan 11, 2007 30 LHCb Summary LHCb can chase New Physics in loop decays: — couple superb highly-sensitive bs observables s b b • Bsµµ, Bs mixing phase s – expect interesting results with 0.5 fb–1 and 2 fb–1 already – can measure down to SM with 10 fb–1 (in case of no New Physics) — several other exciting windows of opportunity: • • • • Exclusive b sss Penguin decays (limited, even with 10 fb–1) Exclusive bsll and bs B hh Penguins High statistics charm physics LHCb can improve significantly on from tree decays: — use together with other UT observables to test CKM even more s b But … — this is only MC, performance not demonstrated in real life yet another 2 years to go ! — while thinking about upgrade, please make sure LHCb-1 will work LHCb Upgrade Workshop, Edinburgh O. Schneider, Jan 11, 2007 31 LHCb LHCb Upgrade Workshop, Edinburgh spares O. Schneider, Jan 11, 2007 32 LHCb from BDK Dalitz analyses B± D(KS+–)K±: — D0 and anti-D0 contributions interfere in Dalitz plot — If good online KS reconstruction: 5k signal events in 2 fb–1, B/S < 1 — Assuming signal only and flat acceptance across Dalitz plot: () = 8° with 2 fb–1 B0 D(KS+–)K*0: — Under study B± D(KK)K±: — Four-body “Dalitz” analysis — 1.7 k signal events in 2 fb–1 — Assuming signal only and flat acceptance across Dalitz plot: () = 15° with 2 fb–1 LHCb Upgrade Workshop, Edinburgh O. Schneider, Jan 11, 2007 33 LHCb Unitarity triangle in 2014 With LHCb at 10 fb–1 η η Without LHCb γ 1 γ 1 0.5 εK 0 ∆md ∆md ∆ms β 0.5 V ub V cb εK 0 -0.5 V ub V cb -0.5 α -1 ∆md ∆md ∆ms β α -1 -1 -0.5 0 0.5 ( ) / = 4.8% ( ) / = 2.8% 1 -1 ρ -0.5 0 0.5 ( ) / = 3.5% ( ) / = 1.7% 1 ρ From V. Vagnoni, CKM workshop, Dec 2006 LHCb Upgrade Workshop, Edinburgh O. Schneider, Jan 11, 2007 34