Prospects for quarkonium studies at LHCb. «Quarkonium Production at the LHC» workshop

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Prospects for quarkonium studies at LHCb «Quarkonium Production at the LHC» workshop Patrick Robbe, LAL Orsay, 19 Feb 2010

LHCb Detector Forward Spectrometer Geometry, with angular acceptance 15<θ<300 mrad Performance numbers relevant to quarkonium analyses: Charged tracks p/p = 0.35 % - 0.55%, σ(m)=12-25 MeV/c2 ECAL σ(e)/e= 10% E-1/2 1 % (E in GeV) muon ID: ε(µ µ) = 94 %, mis-id rate (π µ) = 3 % Vertexing: σ(l)=250 µm (Primary Vertex Resolution: 10µm in x/y, 60 µm in z) 2

Introduction Unique acceptance amongst LHC experiments: Quarkonium Physics Program: Measurement of J/ψ production cross-section in LHCb acceptance (3<η<5, pt<7 GeV/c), Measurement of J/ψ polarization Similar measurements with ψ(2s), Y(1S), Y(2S), Y(3S). Production of χc, hc Extensive studies of Bc, X(3872) 3

Monte Carlo Tools PYTHIA 6.3 for the studies shown here: PYTHIA 6.4 for the current Monte Carlo productions: Production of J/ψ through Color Single Model. With Color Octet Model added, tuned to reproduce CDF measurements see note CERN-LHCb-2007-042. EvtGen for decays: Generator package which allows to have a detailed description of b J/ψ X decays. Also allows correct angular correlations in decays of polarized particles. PHOTOS for radiative corrections. 4

Monte Carlo J/ψ Samples LHCb Generator Level MC (14 TeV, Pythia 6.3) 3<η<5 In LHCb acceptance (3<η<5, pt<7 GeV/c): σ(pp prompt J/ψ X) x Br(J/ψ µ+ µ-) = 2.7 µb σ(pp (b J/ψ X) X') x Br(J/ψ µ+ µ-) = 0.15 µb NB: the analysis presented here does not depend on the exact spectrum of the J/ψ. 5

J/ψ µ µ Reconstruction + Selection based on positive muon identification of the two µ, cut on the µ transverse momentum pt>0.7 GeV/c and on the quality of the µ+µ- vertex. Invariant mass plot on fully simulated minimum bias events (with all background included): Mass resolution: 11.0 ± 0.4 MeV/c2, S/B=17.6 ± 2.3 in ±3σ mass window, 1.3x109 reconstructed after L0 trigger J/ψ for 1 fb-1 ( s =14 TeV) Or 0.65x106 for 1 pb-1 at s = 7 TeV LHCb Minimum Bias Monte Carlo (14 TeV) 6

Separating prompt J/ψ from J/ψ from b Use pseudo-propertime: t= dz m J / J / pz Prompt component characterized by peak at 0, Exponential decay for J/ψ from b component, Long tail due to association of the J/ψ to a not-related primary vertex. LHCb Inclusive J/ψ Monte Carlo (14 TeV) Combined mass/pseudo-propertime fit will allow to measure both prompt and J/ψ from b production cross sections in η and pt bins: 4 pseudorapidity η bins, 3 < η < 5. 7 transverse momentum pt bins, pt<7 GeV/c. 7

Example: fit on MC at s = 14 TeV Sample corresponding to 0.8 pb-1, s = 14 TeV Signal: Inclusive J/ψ sample Background: toy Monte-Carlo reproducing behaviour (mass and pseudolifetime) seen on the Minimum Bias sample. LHCb Inclusive J/ψ Monte Carlo + Toy MC (14 TeV) Results (J/ψ with 3<η<5 and pt<7 GeV/c): σ(prompt J/ψ) x Br(J/ψ µ+ µ-) = 2597 ± 12 (stat) ± 24 (eff) nb σ(j/ψ from b) x Br(J/ψ µ+ µ-) = 161 ± 4 (stat) ± 2 (eff) nb [Input: 2667 nb] [Input: 153 nb] Statistical error at maximum 10% in each of the analysis bin, for 5pb-1 of8 data at s = 7 TeV.

Systematics from J/ψ polarization Acceptance as a function of cosθ, θ = helicity angle Large LHCb detector acceptance dependance on assumed initial polarization of J/ψ. 9

Systematics from J/ψ polarization Study the effect of ignoring the polarization dependance of the efficiency (J/ψ are not polarized in the LHCb Monte Carlo) α«data» Measured cross-section, assuming α=0 Input σ«data» 0 2758 nb ± 27 nb 2820 nb +1 2738 nb ± 27 nb 3190 nb -1 2787 nb ± 28 nb 2286 nb Systematic error up to 25 % when ignoring polarization. Polarization will be measured (in a second step): in bins of η and pt, separating prompt and J/ψ from b, With full angular analysis, in different reference frames. 10

ψ(2s) µ µ + - Similar performances than J/ψ: Mass resolution: 13 MeV/c2 S/B = 2 Number of reconstructed ψ(2s) = 2-4 % of the number of reconstructed J/ψ. Measurement of the ratio σ(ψ(2s))/σ(j/ψ), as a function of pt, separating prompt and from b. Polarization effects complicate also the measurement: systematic error up to 22% on the cross section ratio. 11

Y(1S) µ µ + Loose muon ID selection, and transverse momentum requirement (pt(µ)>1.5 GeV/c). L0 trigger efficiency: 96 % Mass resolution: 37 MeV/c2 - Similar reconstruction and resolutions will be obtained for the Y(2S) and Y(3S) states: this will allow to separate the 3 Upsilon states. Goal is to measure cross-sections and polarization for all di-muon states, as a function of pt. LHCb Inclusive Y(1S) Monte Carlo (14 TeV) 12

χc reconstruction J/ψ selection, adding a photon detected in the ECAL with pt(γ)>500 MeV/c. m=m(j/ψ γ)-m(j/ψ) distribution obtained on fully simulated events containing one J/ψ. Since the J/ψ background is very low, the plot contains a large fraction of the total background. m resolution = 27 MeV/c2. χc1 χc2 LHCb Inclusive J/ψ Monte Carlo (14 TeV) 13

χb2 reconstruction Reconstruction of χb2(1p) Y(1S) γ Photon detected in ECAL, with pt(γ) > 500 MeV/c Mass resolution: 47 MeV/c2 LHCb Inclusive Y(1S) Monte Carlo (14 TeV) 14

hc reconstruction Besides di-muon states, LHCb detector performances will allow to study other states though hadronic decay modes. Reconstruction of hc ηc γ is difficult (E(γ)~500 MeV in the hc rest frame). Hadronic decay channels look promising: hc pp, hc φ K+ K-, hc φ π+ π-. In particular, hc pp probably visible with first year data, which will give access to σ(hc)xbr(hc pp) relative to σ(j/ψ)xb(j/ψ pp). LHCb Signal Monte Carlo + Toy MC (10 TeV) J/ψ χc0 χc1 hc Expected pp mass distribution: Assuming Br(h pp) = 0.12 %, c Toy Monte Carlo for background, reproducing background seen on fully simulated minimum bias events, 100 pb-1 at s = 10 TeV 15 χc2 m(pp) (GeV/c2)

X(3872) and Z(4430)± Reconstruction of X(3872) J/ψ π+ π- (and the control channel ψ(2s) J/ψ π+ π-), prompt or from b: systematic study of this state. Expect 1800 reconstructed B± X(3872) K±, with 2 fb-1 at s = 14 TeV, allowing to disentangle unknown quantum number JPC: 1++/2-+. LHCb Generator Only signal 1++/2-+ The decay B± X(3872) K± forces the X(3872) to have helicity 0 Similar studies for B0 Z(4430)+( ψ(2s)π+)k About 6200 signal events can be selected from 2 fb-1 of data at s =14 TeV, assuming B(B0 Z(4430)+ K-)xB(Z(4430)+ ψ(2s)π+) = 4.1x10-5 Possible to confirm the Belle discovery with about 100 pb-1 of data at s = 716TeV.

B c± Measurement of mass, lifetime and production cross section using the decay modes: Bc+ J/ψ π+ assuming σ(bc+)=0.4 µb, and Br(Bc+ J/ψ π+) =0.13 %, expect 310 signal events for 1 fb-1 of data at s = 14 TeV. Production cross section relative to B+( J/ψ K+) Bc+ J/ψ µ+ X: signal yield one order of magnitude larger, production cross section measurement possible with 2010 data. 1 fb-1, 14 TeV 17

Conclusions LHCb will measure production cross sections and polarization of di-muon states, in the LHCb acceptance: 3 < η < 5, pt<7 GeV/c. Other quarkonium states will also be looked at: hc, χc, χb, Bc. LHCb performances will allow to also study associate productions: J/ψ+J/ψ, J/ψ+cc, either reconstructing D or tagging it with a displaced e or µ. Study of «exotic» states: X(3872) and Z(4430). Similar states can also be searched in (Quarkonium π+ π-) mass spectra: Yb Y(1S) π+ π-, Bc** Bc+ π+ π-. 18