Recent Bottomonium Results from BaBar

Recent Bottomonium Resultsfrom BaBar

Bryan Fulsom

SLAC National Accelerator Laboratory

35th International Conference on High Energy Physics

Paris, France

July 22, 2010

• This talk:– (1DJ) p+ p- (1S)

– (nS) g(e+e-) hb(1S)

– (3S) p+ p- hb(1P)

– (3S) po hb(1P) g hb(1S)

Overview

Recent Bottomonium Results from BaBar / Bryan Fulsom / ICHEP / 2010.07.22 / Page 2/22

• BaBar: 1999-2008• 122M (3S) / 100M (2S)

– (nS) g(e+e-) hb(1S)

– (3S) p+ p- hb(1P)

Overview• BaBar: 1999-2008• 122M (3S) / 100M (2S)

– (nS) g(e+e-) hb(1S)

– (3S) p+ p- hb(1P)

– (nS) g(e+e-) hb(1S)

– (3S) p+ p- hb(1P)

– (nS) g(e+e-) hb(1S)

– (3S) p+ p- hb(1P)

Overview

• BaBar: 1999-2008• 122M (3S) / 100M (2S)

• Expected (1DJ=1,2,3) properties

– m(1DJ) ~10160 MeV/c2, m(1DDJ)

~5-12 MeV/c2, G(1DJ) ~30 keV

• Experimental observation– (3S) gg(1D2?) gggg(1S) ggggl+l-

– B((3S) ggggl+l-) = (2.5 ± 0.5 ± 0.5) 10-5

– m(1D2?) = 10161.1 ± 0.6 ± 1.6 MeV/c2

• No evidence for (1DJ) p+p-(1S)

– Limit: B((1DJ) p+p-(1S)) < 4%

– Theory: Kuang & Yan ~40%, Ko ~2%, Moxhay ~0.25%

(1DJ): General Information

• Reconstruct (3S) gg(1DJ) ggp+p-(1S) ggp+p-l+l-

– Require exactly 4 tracks– ml+l- consistent with / constrained to m(1S)

– Minimize Eg c2 to select best candidate

– m(1DJ) resolution ~ 3 MeV/c2

• Maximum Likelihood fit to mp+p-l+l- spectrum

– (1DJ) signals: Double Gaussian + Crystal Ball

– Monte Carlo (MC)-determined backgrounds:• (3S) gcbJ(2P) gw (p+p- or p+p-po) (1S)

• (3S) p+p-(1S) + gFSR

• (3S) h (p+p-po) (1S)• (3S) gg/popo (2S) (p+p-(1S))

(1DJ): BaBar Analysis

m(1D2) = 10164.5 ± 0.8 ± 0.6 MeV/c2

(1DJ): Fit Results

(1DJ): Quantum Numbers

– L: p+p- invariant mass

• P(c2) for mp+p- distribution

• D(84.6%), S(3.1%), P(0.3%)

– J: p Helicity Angle• dN/d(cosqp) ~ 1 + x(3cos2qp-1)/2

• = -1.0±0.4±0.1 consistent w. J = 2

– JP: Angle between p+p- and l+l- planes

• dN/dc ~ 1 + bcos(2c), sign(b) = (-1)JP• = -0.4±0.3±0.1 consistent w. JP = 2-

hb(1S)

• hb(1S) observed in inclusive g spectrum for (3S) and (2S)

• Measured properties– B((3,2S) ghb(1S)) = (5.1 ± 0.7) 10-4 / (3.9 ± 1.5) 10-4

– mhb(1S) = 9390.9 ± 2.8 MeV/c2, Ghb(1S) 10 MeV

– (m(1S) – mhb(1S)) = 69.3 ± 2.8 MeV/c2

• Hyperfine splitting theoretical predictions– Lattice: ~50-60 MeV/c2 NRQCD: ~40 MeV/c2

hb(1S): General Information

• Converted photons (g e+e-) improve resolution (25 5 MeV)– Fit pair of tracks, selected with c2

fitter, mg, rg

– Additional cuts: |cosqthrust|, Ntracks, po veto

• Simultaneous fit to Eg* spectrum in (3S) and (2S) datasets

– (3,2S) g hb(1S): Breit-Wigner Crystal Ball

– e+ e-E=m(nS)

gISR (1S): Crystal Ball

– bJ(2,1P) g (1S): Doppler broadening Crystal Ball

– Background: 4th order polynomial exponential decay

hb(1S): Converted Photon Analysis

hb(1S): Fit Results

• Eg* and branching fractions as expected

• Mass-constrained fit:– No evidence for hb (2.3 s stat.)

• Best fit result in mhb(1S) region:

– Differs by +12.4+3.8-4.0 MeV/c2 (3.3 s stat., 2.6s w. syst.)

g e+e-: Results Summary

hb(1P)

• Expect mhb(1P) = (mcb0(1P)+3mcb1(1P)+5mcb2(1P)) / 9 9900 MeV/c2

• Production mechanisms– B((3S) p+p- hb(1P)) ~ 10-3 – 10-2

– B((3S) po hb(1P)) ~ 10-3

– R(pohb (1P) / p+p-hb (1P)) = 0.05 – 20

• Expected decays– hb(1P) ggg (57%), ghb(1S) (41%), ggg (2%)

• Previous searches– B((3S) p+p- hb(1P)) < 1.8 10-3

– B((3S) po hb(1P)) < 2.8 10-3

hb(1P): General Information

• Reconstruct pair of oppositely charged tracks– Cuts on Etotal, R2, Ntracks, KS

o veto (flight length, cos a)

• Define p+p- recoil mass: mR2 = (m(3S) – E*

p+p-)2 – P*

• 2 fit to mR with 7 components

– hb signal: Symmetric two-sided Crystal Ball (TCB)

– (3S) p+p- (2S): Asymmetric TCB + Bifurcated Gaussian– (2S) p+p- (1S): same, with fixed feed-down components– b1,2(2P) p+p- b1,2(1P): TCB, with fixed peak position

– KS

o p+p-: MC-determined phase space– Non-peaking background: 6th order Chebychev polynomial

p+p-hb(1P): Analysis Strategy

p+p-hb(1P): Fit Results

• No evidence for hb signal at mhb = 9900 MeV/c2

– B((3S) p+p- hb(1P)) = (0.0 ± 0.5 ± 0.3)10-4 (<110-4 UL)

• Most significant scan point <2s significance • Exclude B((3S)p+p-hb(1P)) > 2.510-4 (90% CL) over range

• Reconstruct po(g1g2) + g

– Require Eg consistent with hb(1P) ghb(1S)

– Cuts on Ntracks, R2, po veto (all g candidates), po cosqh

• Define po missing mass: m.m.(po)2 = (m(3S) – E*po)2 – P*

– Constrain mpo to improve resolution

– Npo from mg1g2 fit in each m.m.(po) bin

• 2 fit of m.m.(po) distribution– hb(1P) signal: Double Crystal Ball

– Background: 6th order polynomial, from reweighted MC

pohb(1P): Analysis Strategy

pohb(1P): Fit Results

• Fixed mass fit:– B((3S)p o hb(1P)poghb(1S)) = (3.1±1.1±0.4)10-4 (2.7s)

– 1.510-4 < B((3S)p o hb(1P)poghb(1S)) < 4.910-4

• Best fit mhb = 9903 ± 4 ± 1 MeV/c2 consistent with predictions

• Combined results:– R(pohb(1P) / p+p-hb(1P)) > 3.2 (>1.5 for mhb

= 9903 MeV/c2)

pohb(1P): Fit Results

• (1DJ) p+p-(1S)

– First observation of (1DJ) hadronic decays

– Quantum numbers and precise m(1D2) measurement

• (2,3S) converted photon spectrum– Most significant (2.6s) “hb” signal at 9403.3±2.4+0.9

-1.5 MeV/c2

– Improved and first direct cbJ(1,2P) g (1S) measurement

• hb(1P) Search

– No evidence for (3S) p+p- hb(1P)

– Marginal evidence (2.7s) for (3S) pohb(1P) poghb(1S)

– B((3S)pohb(1P)) / B((3S)p+p-hb(1P)) > 1 at 90% C.L.

Summary

Recent Bottomonium Results from BaBar

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