Recent Bottomonium Results from BaBar Bryan Fulsom SLAC National Accelerator Laboratory 35 th International Conference on High Energy Physics Paris, France July 22, 2010

This talk: –  (1D J )       (1S) –  (nS)   (e  e  )  b (1S) –  (3S)      h b (1P) –  (3S)    h b (1P)   b (1S) Overview Recent Bottomonium Results from BaBar / Bryan Fulsom / ICHEP / / Page 2/22 BaBar: M  (3S) / 100M  (2S)

Recent Bottomonium Results from BaBar / Bryan Fulsom / ICHEP / / Page 2/22 This talk: –  (1D J )       (1S) –  (nS)   (e  e  )  b (1S) –  (3S)      h b (1P) –  (3S)    h b (1P)   b (1S) Overview BaBar: M  (3S) / 100M  (2S)

Recent Bottomonium Results from BaBar / Bryan Fulsom / ICHEP / / Page 2/22 This talk: –  (1D J )       (1S) –  (nS)   (e  e  )  b (1S) –  (3S)      h b (1P) –  (3S)    h b (1P)   b (1S) Overview BaBar: M  (3S) / 100M  (2S)

Recent Bottomonium Results from BaBar / Bryan Fulsom / ICHEP / / Page 2/22 This talk: –  (1D J )       (1S) –  (nS)   (e  e  )  b (1S) –  (3S)      h b (1P) –  (3S)    h b (1P)   b (1S) Overview BaBar: M  (3S) / 100M  (2S)

This talk: –  (1D J )       (1S) –  (nS)   (e  e  )  b (1S) –  (3S)      h b (1P) –  (3S)    h b (1P)   b (1S) Overview Recent Bottomonium Results from BaBar / Bryan Fulsom / ICHEP / / Page 2/22 BaBar: M  (3S) / 100M  (2S)

 (1D J ) Recent Bottomonium Results from BaBar / Bryan Fulsom / ICHEP / / Page 3/22

Expected  (1D J=1,2,3 ) properties –m  (1D J ) ~10160 MeV/c 2, m  (1D  J ) ~5-12 MeV/c 2,   (1D J ) ~30 keV Experimental observation –  (3S)   (1D 2? )   (1S)   l  l  –B (  (3S)   l  l  ) = (2.5 ± 0.5 ± 0.5)  –m  (1D 2? ) = ± 0.6 ± 1.6 MeV/c 2 No evidence for  (1D J )       (1S) –Limit: B (  (1D J )       (1S)) < 4% –Theory: Kuang & Yan ~40%, Ko ~2%, Moxhay ~0.25%  (1D J ): General Information Recent Bottomonium Results from BaBar / Bryan Fulsom / ICHEP / / Page 4/22

Reconstruct  (3S)   (1D J )       (1S)      l  l  –Require exactly 4 tracks –m l  l  consistent with / constrained to m  (1S) –Minimize E   2 to select best candidate –m  (1D J ) resolution ~ 3 MeV/c 2 Maximum Likelihood fit to m     l  l  spectrum –  (1D J ) signals: Double Gaussian + Crystal Ball –Monte Carlo (MC)-determined backgrounds:  (3S)   bJ (2P)   (     or       )  (1S)  (3S)       (1S) +  FSR  (3S)   (       )  (1S)  (3S)   /      (2S) (      (1S))  (1D J ): BaBar Analysis Recent Bottomonium Results from BaBar / Bryan Fulsom / ICHEP / / Page 5/22

m  (1D 2 ) = ± 0.8 ± 0.6 MeV/c 2  (1D J ): Fit Results Recent Bottomonium Results from BaBar / Bryan Fulsom / ICHEP / / Page 6/22

 (1D J ): Quantum Numbers Recent Bottomonium Results from BaBar / Bryan Fulsom / ICHEP / / Page 7/22 –L:     invariant mass P(  2 ) for m     distribution D(84.6%), S(3.1%), P(0.3%) –J:  Helicity Angle dN/d(cos   ) ~ 1 +  (3cos 2   -1)/2  = -1.0±0.4±0.1 consistent w. J = 2 –J P : Angle between     and l  l  planes dN/d  ~ 1 +  cos(2  ), sign(  ) = (-1) J P  = -0.4±0.3±0.1 consistent w. J P = 2 

Recent Bottomonium Results from BaBar / Bryan Fulsom / ICHEP / / Page 8/22  b (1S)

 b (1S) observed in inclusive  spectrum for  (3S) and  (2S) Measured properties – B (  (3,2S)   b (1S)) = (5.1 ± 0.7)  / (3.9 ± 1.5)  –m  b (1S) = ± 2.8 MeV/c 2,   b (1S)  10 MeV –(m  (1S) – m  b (1S) ) = 69.3 ± 2.8 MeV/c 2 Hyperfine splitting theoretical predictions –Lattice: ~50-60 MeV/c 2 NRQCD: ~40 MeV/c 2  b (1S): General Information Recent Bottomonium Results from BaBar / Bryan Fulsom / ICHEP / / Page 9/22

Converted photons (   e  e  ) improve resolution (25  5 MeV) –Fit pair of tracks, selected with  2 fitter, m ,   –Additional cuts: |cos  thrust |, N tracks,    veto Simultaneous fit to E   spectrum in  (3S) and  (2S) datasets –  (3,2S)    b (1S): Breit-Wigner  Crystal Ball –e   e  E=m  (nS)   ISR  (1S): Crystal Ball –  bJ (2,1P)    (1S): Doppler broadening  Crystal Ball –Background: 4 th order polynomial  exponential decay  b (1S): Converted Photon Analysis Recent Bottomonium Results from BaBar / Bryan Fulsom / ICHEP / / Page 10/22

 b (1S): Fit Results Recent Bottomonium Results from BaBar / Bryan Fulsom / ICHEP / / Page 11/22

E   and branching fractions as expected Mass-constrained fit: –No evidence for  b (2.3  stat.) Best fit result in m  b (1S) region: –Differs by MeV/c 2 (3.3  stat., 2.6  w. syst.)   e  e  : Results Summary Recent Bottomonium Results from BaBar / Bryan Fulsom / ICHEP / / Page 12/22

Recent Bottomonium Results from BaBar / Bryan Fulsom / ICHEP / / Page 13/22 h b (1P)

Expect m h b (1P) = (m  b0 (1P) +3m  b1 (1P) +5m  b2 (1P) ) / 9  9900 MeV/c 2 Production mechanisms –B (  (3S)      h b (1P)) ~ – –B (  (3S)    h b (1P)) ~ –R(   h b (1P) /     h b (1P)) = 0.05 – 20 Expected decays –h b (1P)  ggg (57%),  b (1S) (41%),  gg (2%) Previous searches –B (  (3S)      h b (1P)) < 1.8  –B (  (3S)    h b (1P)) < 2.8  h b (1P): General Information Recent Bottomonium Results from BaBar / Bryan Fulsom / ICHEP / / Page 14/22

Reconstruct pair of oppositely charged tracks –Cuts on E total, R 2, N tracks, K S  veto (flight length, cos  ) Define     recoil mass: m R 2 = (m  (3S) – E      ) 2 – P      2  2 fit to m R with 7 components –h b signal: Symmetric two-sided Crystal Ball (TCB) –  (3S)       (2S): Asymmetric TCB + Bifurcated Gaussian –  (2S)       (1S): same, with fixed feed-down components –  b1,2 (2P)       b1,2 (1P): TCB, with fixed peak position –K S       : MC-determined phase space –Non-peaking background: 6 th order Chebychev polynomial     h b (1P): Analysis Strategy Recent Bottomonium Results from BaBar / Bryan Fulsom / ICHEP / / Page 15/22

    h b (1P): Fit Results Recent Bottomonium Results from BaBar / Bryan Fulsom / ICHEP / / Page 16/22

    h b (1P): Fit Results Recent Bottomonium Results from BaBar / Bryan Fulsom / ICHEP / / Page 17/22

No evidence for h b signal at m h b = 9900 MeV/c 2 –B (  (3S)      h b (1P)) = (0.0 ± 0.5 ± 0.3)  (<1  UL) Most significant scan point <2  significance Exclude B (  (3S)     h b (1P)) > 2.5  (90% CL) over range     h b (1P): Fit Results Recent Bottomonium Results from BaBar / Bryan Fulsom / ICHEP / / Page 18/22

Reconstruct   (     ) +  –Require E  consistent with h b (1P)   b (1S) –Cuts on N tracks, R 2,   veto (all  candidates),   cos  h Define   missing mass: m.m.(   ) 2 = (m  (3S) – E    ) 2 – P    2 –Constrain m   to improve resolution –N   from m     fit in each m.m.(   ) bin  2 fit of m.m.(   ) distribution –h b (1P) signal: Double Crystal Ball –Background: 6 th order polynomial, from reweighted MC   h b (1P): Analysis Strategy Recent Bottomonium Results from BaBar / Bryan Fulsom / ICHEP / / Page 19/22

  h b (1P): Fit Results Recent Bottomonium Results from BaBar / Bryan Fulsom / ICHEP / / Page 20/22

Fixed mass fit: –B (  (3S)   h b (1P)    b (1S)) = (3.1±1.1±0.4)  (2.7  ) –1.5  < B (  (3S)   h b (1P)    b (1S)) < 4.9  Best fit m h b = 9903 ± 4 ± 1 MeV/c 2 consistent with predictions Combined results: –R(   h b (1P) /     h b (1P)) > 3.2 (>1.5 for m h b = 9903 MeV/c 2 )   h b (1P): Fit Results Recent Bottomonium Results from BaBar / Bryan Fulsom / ICHEP / / Page 21/22

 (1D J )       (1S) –First observation of  (1D J ) hadronic decays –Quantum numbers and precise m  (1D 2 ) measurement  (2,3S) converted photon spectrum –Most significant (2.6  ) “  b ” signal at ± MeV/c 2 –Improved and first direct  bJ (1,2P)    (1S) measurement h b (1P) Search –No evidence for  (3S)      h b (1P) –Marginal evidence (2.7  ) for  (3S)    h b (1P)     b (1S) – B (  (3S)   h b (1P)) / B (  (3S)     h b (1P)) > 1 at 90% C.L. Summary Recent Bottomonium Results from BaBar / Bryan Fulsom / ICHEP / / Page 22/22

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