Vacuum Polarization and the impact of BaBar data

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Presentation transcript:

Vacuum Polarization and the impact of BaBar data  Vacuum Polarization and the impact of BaBar data Michel Davier Laboratoire de l’Accélérateur Linéaire, Orsay QWG Workshop 2007 October 17 - 20, 2007, DESY    hadrons davier@lal.in2p3.fr

Essentials of Hadronic Vacuum Polarization vacuum polarization modifies the interacting electron charge with: photon vacuum polarization function (q2) Leptonic lep(s) calculable in QED. However, quark loops are modified by long-distance hadronic physics, cannot (yet) be calculated within QCD (!) Way out: Optical theorem (unitarity) ... ... and subtracted dispersion relation for (q2) (analyticity) Im[ ]  | hadrons |2 ... and equivalently for a [had]

”Dispersion relation“ The Muonic (g –2) Contributions to the Standard Model (SM) Prediction: Source (a) Reference QED ~ 0.1  10–10 [Schwinger ’48 &others (Kinoshita)] Hadrons ~ (154  3.5)  10–10 [Eidelman-Jegerlehner ’95 & others] Z, W exchange ~ 0.2  10–10 [Czarnecki et al. ‘95 & others] Dominant uncertainty from lowest order hadronic piece. Cannot be calculated from QCD (“first principles”) – but: we can use experiment (!) The Situation 1995 had  ”Dispersion relation“  had   ...

Contributions to the dispersion integral 2 3 (+,) 4 > 4 (+KK) 1.8 - 3.7 3.7 - 5 (+J/, ) 5 - 12 (+) 12 -  < 1.8 GeV ahad,LO 2  2[ahad,LO] 2

Eidelman-Jegerlehner’95, Z.Phys. C67 (1995) 585 Improved Determinations of the Hadronic Contribution to (g –2) and  (MZ ) 2 Eidelman-Jegerlehner’95, Z.Phys. C67 (1995) 585 Energy [GeV] Input 1995 Input after 1998 2m - 1.8 Data Data (e+e– & ) (+ QCD) 1.8 – J/ QCD J/ -  Data + QCD  - 40 40 -  Since then: Improved determi-nation of the dispersion integral: better data extended use of QCD Inclusion of precise  data using SU(2) (CVC) Alemany-Davier-Höcker’97, Narison’01, Trocóniz-Ynduráin’01, + later works Extended use of (dominantly) perturbative QCD Martin-Zeppenfeld’95, Davier-Höcker’97, Kühn-Steinhauser’98, Erler’98, + others Improvement in 4 Steps: Theoretical constraints from QCD sum rules and use of Adler function Groote-Körner-Schilcher-Nasrallah’98, Davier-Höcker’98, Martin-Outhwaite-Ryskin’00, Cvetič-Lee-Schmidt’01, Jegerlehner et al’00, Dorokhov’04 + others Better data for the e+e–   + – cross section and multihadron channels CMD-2’02 (revised 03), KLOE’04, SND’05 (revised 06), CMD-2’06, BaBar’04-06

Goals of the BaBar ISR Program Precise measurements of cross section for all significant processes, e+e hadrons, from threshold to ~4-5GeV Measure , KK channels with high precision Summing up exclusive cross sections ==>Improve the precision of R Study spectroscopy of JPC=1−− states and their decays M. Davier et al., 2003 Ös

Exclusive Channels with BaBar ISR systematic program underway using ISR from (4S) energies, taking advantage of high luminosity (B-factory) statistics comparable to CMD-2/SND for Ecm<1.4 GeV, much better than DM1/DM2 above full energy range covered at the same time channels identified using particle ID and kinematic fitting systematic uncertainties at 5-10% level large acceptance for hadronic system (boosted opposite to ISR photon) X = 2E /Ecm ISR H is radiation function

BaBar ISR: e+ehadrons Reactions for which results have been published : pp PRD 73, 012005 (2006) p+p-p0 PRD 70, 072004 (2004) 2p+2p-, K+K- p+p-, PRD 71, 052001 (2005) K+K- p+p- K+K- p0p0 , 2K+2K- PRD 76, 012008 (2007) 3p+3p-, 2p+2p-p0p0, K+K-2p+2p- PRD 73, 052003 (2006) New results presented last Summer : K+Kp0, KSKp+, K+Kh, BaBar Preliminary LL , LS0 , S0S0 submitted to PRD e-Print: arXiv:0709.1988 [hep-ex] +pp BaBar Preliminary 2p+2pp0,2p+2ph, KK p+pp0, KKp+ph accepted by PRD e-Print: arXiv:0708.2461 [hep-ex] Work in progress on : , K+K, p+p3p0 Inclusive R

BaBar ISR:  errors include systematics huge discrepancy with DM2 SND BaBar DM2 contribution to ahad (1.05-1.8 GeV) : all before BaBar 2.45  0.26  0.03 all + BaBar 2.79  0.19  0.01 all – DM2 + BaBar 3.25  0.09  0.01 x1010

BaBar ISR: 22 contribution to ahad (<1.8 GeV) : all before BaBar 14.20  0.87  0.24 all + BaBar 13.09  0.44  0.00 x1010

BaBar ISR: 33 BaBar contribution to ahad (<1.8 GeV) : all before BaBar 0.10  0.10 all + BaBar 0.108  0.016 x1010

BaBar ISR: 222 BaBar contribution to ahad (<1.8 GeV) : all before BaBar 1.42  0.30  0.03 all + BaBar 0.890  0.093 x1010

Only statistical errors plotted BaBar ISR: +00 Only statistical errors plotted BaBar preliminary ψ ->p0p0J/ψ(->mm) J/ψ Previous situation chaotic Preliminary syst. error: 8% in peak 5% Good agreement with SND <1.4 GeV Huge improvement >1.4 GeV First measurement >2.5 GeV

BaBar ISR: +00  --substructure Intermediate states: 0 +- large and first seen 0 f0(980) a1(1260) BaBar preliminary MC

BaBar ISR: ++0 Cross sections of sub-mode: +-  0  X =  3 + 0 3 : from subtraction /+-  0 3

BaBar ISR: +p- BaBar,3 1.35  0.03 0.45  0.14 1.66  0.01 preliminary BaBar,3   BaBar preliminary f0(980) 1st measurement 1.35  0.03 0.45  0.14 1.66  0.01 0.22  0.04 BaBar,3

BaBar ISR: p+-+p- ~4,300 events selected first measurement BaBar preliminary

BaBar ISR: KSK , K+K-p Dominant states: K*(980)K and K2*(1430)K K+K-p Isoscalar channel dominates over isovector Parameters (1680): PDG m=172320 MeV, 168020  = 37175 MeV, 15050 ee= 58060 eV, B/BK*K 1/3

BaBar ISR: KK , K+K-pp Substructure in the final state K*(892) - 1 per event K+K-0 p0 K+K-0 p0 K1(1270),K1(1400) – 1+ K+K-p+ p- ~ 1500

BaBar ISR:KKKK,KKppp,KKpp jK+K- dominated J/Y K+K-+p-p K+K-+p- First measurement !

BaBar ISR: KKpppp Cross section Substructures K*0(892) j J/y first measurement

Present BaBar Measurements only statistical errors syst. 5-10% to obtain R in the energy range 1-2 GeV the processes +-, +-30, +-40, K+K-, KSKL, KSKL, KSK+ -0 remain to be measured

Evaluating the Dispersion Integral use data Agreement bet-ween Data (BES) and pQCD (within correlated systematic errors) use QCD Better agreement between exclusive and inclusive (2) data than in 1997-1998 analyses use QCD

Update for ICHEP-Tau06 BNL E821 (2004): ahad [ee ] = (690.9 ± 4.4)  10 –10 a [ee ] (11 659 180.5 ± 4.4had ± 3.5LBL ± 0.2QED+EW)  10 –10 Hadronic HO – ( 9.8 ± 0.1)  10 –10 Hadronic LBL + (12.0 ± 3.5)  10 –10 Electroweak (15.4 ± 0.2)  10 –10 QED (11 658 471.9 ± 0.1)  10 –10 inclu-ding: Knecht-Nyffeler, Phys.Rev.Lett. 88 (2002) 071802 Melnikov-Vainshtein, hep-ph/0312226 Davier-Marciano, Ann. Rev. Nucl. Part. Sc. (2004) Kinoshita-Nio (2006) BNL E821 (2004): aexp = (11 659 208.0  6.3) 10 10 Observed Difference with Experiment (DEHZ) a [exp ] – a [SM ] = (27.5 ± 8.4)  10 –10  3.3 „standard deviations“

Conclusions and Outlook Hadronic vacuum polarization is still the dominant systematics for SM prediction of the muon g – 2 Significant step in precision from new experimental input CMD-2 + SND for 2 BaBar for multipion channels Precision of SM prediction (5.6) now exceeds experimental precision (6.3) SM prediction for a differs by 3.3  [e+e – ] from experiment (BNL 2004) In the next months many new results expected KLOE 2p (different analyses) BaBar 2p, 2K, remaining multihadrons in 1-2 GeV range VEPP-2000 in the longer run vacuum polarization calculations in line for the next challenges new g-2 measurements precision EW measurements (Tevatron, LHC, ILC)