HEAVY FLAVOUR RESULTS FROM TEVATRON

Heavy Flavour Results From Tevatron

G. BORISSOV
(on behalf of the CDF and DØ collaborations)

HEAVY FLAVOUR RESULTS FROM TEVATRON

Department of Physics, Lancaster University,

Lancaster LA1 4YB, England, UK

The CDF and DØ experiments finalize the analysis of their full statistics collected in the collisions at a center-of-mass energy of TeV at the Fermilab Tevatron collider. This paper presents several new results on the properties of hadrons containing heavy - and -quarks obtained by both collaborations. These results include the search for the rare decays (CDF), the study of CP asymmetry in decay (CDF, DØ), the measurement of the like-sign dimuon charge asymmetry (DØ), the measurement of CP asymmetry in and decays (CDF), and the new measurement of the branching fraction (CDF). Both experiments still expect to produce more results on the properties of heavy flavours.


For past 10 years the Fermilab Tevatron collider has pioneered and established the role of hadron colliders for flavour physics. It became the main source of results on , mesons, and baryons. Many crucial measurements, like the mass difference in the system, were obtained here. Currently the Tevatron experiments finalize their study and publish the results with the full statistics up to 10 fb.

In this paper I review

  • search for the rare decays obtained by the CDF collaboration;

  • study of CP asymmetry in decay reported by the CDF and DØ collaborations;

  • updated measurement of the like-sign dimuon charge asymmetry (D0 collaboration);

  • new measurement of the difference of CP asymmetry in and decays (CDF collaboration);

  • measurement of the branching fraction of decay (CDF collaboration).

The standard model (SM) predicts a very low value for the branching fractions of both and decays. The most recent SM prediction for these fractions is

(1)

The contribution of new physics beyond the SM can significantly modify these values, therefore these rare decays can provide important constraints on various new physics models.

The CDF collaboration presented in summer 2011 the analysis with 7 fb featuring an accumulation of signal-like events in the mass region with deviation from the background-only hypothesis. The new CDF analysis presented here includes the full Run2 statistics corresponding to 9.6 fb. Given the increased interest to the previous result, the analysis of the remaining statistics is kept the same. The separation between the signal and background in this analysis is achieved using the neural network. Figure 1 shows the observed and expected number of events in the search for the different values of the neural network output variable . There is an excess of the signal-like events for , while the agreement between the observed and expected number of events is very good for the background-dominated region . The -value of the SM signal plus background hypothesis for is 7%. The excess of events in the bin is not increased with the addition of the new statistics and is consistent with the statistical fluctuation. The -value of the SM signal plus background hypothesis for two largest bins is 22.4%, while the -value of background only hypothesis is 2.1%. Thus, while still not conclusive, the experiment becomes sensitive to the SM contribution of decay and shows a good agreement with the SM expectation.

Figure 1: For the mass region, the observed number of events (points) is compared to the total expected background (light grey) and its uncertainty (hatched) for different values of . The hashed area represents the systematic uncertainty on the mean expected background while the error bars on the points represent the associated poisson uncertainty. Also shown is the expected contribution from events (dark gray) using a branching fraction that corresponds to the central value from the fit to the data, which is 4.1 times the expected SM value.

The results obtained by the CDF collaboration with 9.6 fb are:

(2)

The CDF collaboration also reports the first double sided limit on :

(3)

These results are consistent with other searches of these rare decays.

An important part of the research of heavy flavours at hadron colliders is devoted to the measurement of the asymmetry. Among other reasons, the interest to this phenomenon is explained by the fact that the magnitude of the asymmetry included in the SM is not sufficient to describe the observed abundance of matter in our universe , which implies that some additional sources of asymmetry should exist. They could reveal themselves by the deviation of the observed asymmetry from the SM prediction.

One of the most promising channels to search for the new sources of asymmetry is the decay . The asymmetry in this decay is described by the phase . Within the SM, this phase is related with the angle of the unitarity triangle and is predicted to be very small :

(4)

This phase can be significantly modified by the new physics contribution and this deviation from the SM can be detected experimentally.

Both CDF and DØ experiments report the new study of decay with the full statistics. The CDF collaboration reconstructs about 11000 such decays using the integrated luminosity 9.6 fb. The new analysis is similar to the previous measurement with a part of the statistics . The result of this analysis is presented in Fig. 2 (left plot) as the confidence regions in plane. It can be seen that the obtained confidence region is consistent with the SM prediction within 1. The obtained confidence regions for the quantity is

(5)
Figure 2: Confidence regions in plane. Left plot: the measurement of CFT collaboration. The solid (blue) and dot-dashed (red) contours show the 68% and 95% confidence regions, respectively. The shaded (green) band is the theoretical prediction of mixing-induced asymmetry. Right plot: the measurement of DØ collaboration. Two-dimensional 68%, 90% and 95% C.L. contours including systematic uncertainties are shown. The standard model expectation is indicated as a point with an error.

A similar analysis of decay by the DØ collaboration is based on 6500 signal events collected using the integrated luminosity 8 fb. The result of this analysis is shown in Fig. 2 (right plot). The obtained confidence region is consistent with the SM prediction, and the -value for the SM point is 29.8%. The following values are obtained in this analysis:

(6)

Another quantity sensitive to the new sources of the asymmetry is the like-sign dimuon charge asymmetry, which is defined as

(7)

Here and represent the number of events containing two hadrons decaying semileptonically and producing two positive or two negative muons, respectively. The standard model predicts a very small value compared to the current experimental sensitivity, therefore, the non-zero value of the asymmetry signals the presence of the violation in mixing in the semileptonic decays of neutral mesons. Recently the DØ collaboration released the new measurement of this quantity using the integrated luminosity 9 fb. The obtained value of deviates from the SM prediction by 3.9 :

(8)

The asymmetry contains the contribution from the semileptonic charge asymmetries and of and mesons, respectively. The analysis of the dependence of on the muon impact parameter (IP) allows to obtain the separate values of and :

(9)

The precision of these quantities is comparable with the available world average measurements. Figure 3 presents the results of the IP study in the plane together with the result (8) of the measurement. The ellipses represent the 68% and 95% two-dimensional confidence level (CL) regions, respectively, of and values obtained from the IP study. The obtained values of and are in a good agreement with the independent measurement of by the DØ collaboration , and the world-average value of reported by the HFAG . The discrepancy between the measured value of and the SM prediction requires an independent confirmation.

Figure 3: Measurement of with different muon IP selections in the plane. The bands represent the standard deviation uncertainties on each individual measurement. The ellipses represent 68% and 95% two-dimensional CL regions, respectively, of of and values obtained from the measurements with IP selections.

One more promising channel to search for the new sources of asymmetry is the single Cabibbo-suppressed decays and . Although the exact theoretical prediction of asymmetry in these decays is difficult to obtain due to the non-perturbative contributions, the asymmetry at level could signal the contribution of new physics.

The CDF collaboration previously measured the separate values of asymmetries and with 6 fb:

(10)

The new analysis uses the full data set corresponding to the luminosity 9.6 fb and is optimized for the measurement of . It is motivated by the recent result reported by the LHCb experiment :

(11)

Many systematic uncertainties cancel in the difference of asymmetries and therefore the selection cuts in the new CDF analysis are loosened to increase the statistics. In total 550K decays and 1.21M decays are selected. Both decays are reconstructed in the decay. Figure 4 shows the mass distributions of the reconstructed and decays. It can be seen that the quality of the description of the data is excellent. Using the collected statistics, the CDF collaboration obtains

(12)

which corresponds to 2.7 deviation from zero. This result is consistent with the LHCb measurement (11). The combination of the CDF and LHCb results gives deviation of from zero.

Figure 4: Projections of the combined fit on data for tagged (left) and (right) decays.

The CDF collaboration reports one more interesting result on the properties of meson, namely the measurement of the branching fraction . It is obtained using the semi-exclusive decay modes

(13)

with or . The resulting invariant mass distribution is presented in Fig. 5. In total 750 signal events in these decay modes are reconstructed.

Figure 5: Invariant mass distribution of and .

Using this statistics, the following result is obtained

(14)

The total branching fraction of these decay modes is found to be

(15)

In conclusion, the experiments at the Tevatron finalize the analysis of their full statistics. This paper presents the new results obtained in the search for the rare decays (CDF), the study of CP asymmetry in decay (CDF, DØ), the measurement of the like-sign dimuon charge asymmetry (DØ), the measurement of CP asymmetry in and decays (CDF), and the new measurement of the branching fraction (CDF). Many more exciting results from the DØ and CDF experiments with the full statistics can be expected soon.

References

References

  • [1] A. Buras et al, JHEP 1009, 106 (2010).
  • [2] T. Aaltonen et al. (CDF Collaboration), Phys. Rev. Lett. 107, 191801 (2011).
  • [3] P. Huet and E. Sather, Phys. Rev. D 51, 379 (1995).
  • [4] A. Lenz and U. Nierste, arXiv:1102.4274 (2011).
  • [5] The CDF collaboration, CDF public note 10778 (2012).
  • [6] T. Aaltonen et al. (CDF Collaboration), arXiv:1112.1726 2011.
  • [7] V.M. Abazov et al. (DØ Collaboration), Phys. Rev. D 85, 032006 (2012).
  • [8] V.M. Abazov et al. (DØ Collaboration), Phys. Rev. D 82, 032001 (2010),
    V.M. Abazov et al. (DØ Collaboration), Phys. Rev. D 84, 052007 (2011).
  • [9] V.M. Abazov et al. (DØ Collaboration), Phys. Rev. D 82, 012003 (2010).
  • [10] D. Asner et al., Heavy Flavour Averaging Group (HFAG), arXiv:1010.1589 (2010).
  • [11] T. Aaltonen et al. (CDF Collaboration), Phys. Rev. D 85, 012009 (2012).
  • [12] The CDF collaboration, CDF public note 10784 (2012).
  • [13] R. Aaij et al. (LHCB Collaboration), Phys. Rev. Lett. 108, 111602 (2012).
  • [14] T. Aaltonen et al. (CDF Collaboration), Phys. Rev. Lett. 108, 201801 (2012).
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