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Scientific Report 2007-2009<br />

Particle physics<br />

P15. Study of B meson rare decays and implications for new Physics<br />

The Standard Model (SM) of particle physics has been<br />

succefully tested in many experiments in the last 40<br />

years. However solid arguments exist that it cannot be<br />

the final theory and great efforts for New Physics (NP)<br />

search are on-going. The study of rare B decays plays<br />

a unique role in such searches. B meson processes mediated<br />

by flavour-changing neutral-currents (FCNC) are<br />

forbidden at the leading order and NP contributions can<br />

be of the same order of magnitude of the SM contribution.<br />

Complementary information can be obtained from<br />

the study of the purely leptonic B decays which are often<br />

unaccessible with the present experiments, unless NP effects<br />

enhance the rate up to the current experimental<br />

sensitivity. For some of these decays, just the observation<br />

by itself would provide an unambiguous evidence of<br />

NP. We were part of the BaBar international collaboration<br />

that built and ran a detector at the Stanford Linear<br />

Accelerator Center where a copious amount of BB meson<br />

pairs was produced at the PEP-II e + e − collider. We<br />

were involved in data analysis with a special focus on<br />

the rare B decays. The study of these processes represent<br />

a big challenge for experiments due to the necessity<br />

of extraction of a small signal from a huge background<br />

(> 1000 times bigger). We developed a novel technique<br />

in which one of the two B (B tag ) is reconstructed in<br />

a frequent mode, while the signal signature is searched<br />

for in the rest of the event (the recoil), composed by<br />

all tracks and neutral particles not associated to the<br />

B tag . The method provides a pure sample of BB events<br />

and a clean environment to look for rare decays. This<br />

technique was applied to the measurement of the FCNC<br />

B → X s γ branching ratio where more than 1000 fully<br />

hadronic B → DX decays for the B tag were used [1].<br />

This decay is an ideal framework for the study of flavour<br />

physics. The shape of the photon energy spectrum shape<br />

is used to infer theoretical parameters fundamental for<br />

the determination of the Cabibbo-Kobasyashi-Maskawa<br />

matrix element V ub in B → X u lν decays. The power<br />

of the recoil approach has been exploited for the search<br />

of the very rare FCNC B → K ∗ νν decays where the<br />

two neutrinos escape detection. Using both semileptonic<br />

B → D (∗) lν and hadronic B → DX decays for the B tag<br />

reconstruction, upper limits at 90% confidence level (CL)<br />

on the branching ratio have been set [2]:<br />

B(B 0 → K ∗0 νν) < 12 × 10 −5 , (1)<br />

B(B + → K ∗+ νν) < 8 × 10 −5 . (2)<br />

Though they are a factor 10 above the SM expected values,<br />

those limits are used to constrain several NP scenarios.<br />

Complementary information can be obtained looking<br />

for purely leptonic B processes. According to the SM,<br />

they occur through annihilation diagrams and hence are<br />

highly suppressed. The only among them that is accessible<br />

at the present experiments is the B + → τ + ν decay.<br />

In the search for B + → τ + ν the recoil technique is<br />

adopted and both leptonic and hadronic τ decay modes<br />

are used. The measured branching ratio is [3,4]:<br />

B(B + → τ + ν) = (0.9 ± 0.6 ± 0.1) × 10 −4 , (3)<br />

B(B + → τ + ν) = (1.8 +0.9<br />

−0.8 ± 0.4) × 10−4 , (4)<br />

for the semileptonic and hadronic B tag reconstruction,<br />

respectively, in agreement with the expected SM value.<br />

B + → l + ν decays have been also studied by looking for<br />

one mono-energetic lepton and requiring the rest of event<br />

to be consistent with the decay of the other B meson.<br />

Upper limits are set at 90% CL :<br />

B(B + → µ + ν) < 1.0 × 10 −6 , (5)<br />

B(B + → e + ν) < 1.9 × 10 −6 . (6)<br />

No evidence of deviations from the SM in the rare<br />

processes has been found up to now. However these<br />

mesuraments are very important in order to discriminate<br />

among different New Physics scenarios. A typical<br />

example of exclusion “plot” is shwon in Fig.1. Future<br />

tan(β)<br />

80<br />

60<br />

40<br />

20<br />

95% CL from K→µν/π→µν<br />

95% CL from B→τν<br />

lavi<br />

net Kaon WG<br />

100 200 300 400 500<br />

charged Higgs mass (GeV/c 2 )<br />

Figure 1: Excluded Region in Charged Higgs Boson models<br />

by the B → τ + ν decay<br />

experiments, with larger B meson data sample will<br />

allow to test the SM at a deeper level.<br />

References<br />

1. B.Aubert et al., Phys. Rev. D 77, 011107 (2008).<br />

2. B.Aubert et al., Phys. Rev. D78, 072007 (2008).<br />

3. B.Aubert et al., Phys. Rev. D 76, 052002 (2007).<br />

4. B.Aubert et al., Phys. Rev. D 77, 051103 (2008).<br />

Authors<br />

E. Baracchini, F. Bellini, G. Cavoto 1 , D. del Re, E. Di<br />

Marco, R. Faccini, F. Ferrarotto 1 , F.Ferroni, M. Gaspero, P.<br />

D. Jackson 1 , L. Li Gioi, M. A. Mazzoni 1 , S. Morganti 1 , G.<br />

Piredda 1 , F. Polci, F. Renga 1 , C. Voena 1<br />

http://babar.roma1.infn.it/roma<br />

<strong>Sapienza</strong> Università di Roma 122 Dipartimento di Fisica

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