• Browse all
Angular analysis of the $B^{0} \to K^{*0} \mu^{+} \mu^{-}$ decay using 3 fb$^{-1}$ of integrated luminosity

The LHCb collaboration
JHEP 1602 (2016) 104, 2016

Abstract (data abstract)
CERN-LHC. An angular analysis of the $B^{0} \rightarrow K^{*0}(\rightarrow K^{+}\pi^{-})\mu^{+}\mu^{-}$ decay is presented. The dataset corresponds to an integrated luminosity of $3.0$ fb$^{-1}$ of $pp$ collision data collected at the LHCb experiment. The complete angular information from the decay is used to determine $C\!P$-averaged observables and $C\!P$ asymmetries, taking account of possible contamination from decays with the $K^{+}\pi^{-}$ system in an S-wave configuration. The angular observables and their correlations are reported in bins of $q^2$, the invariant mass squared of the dimuon system. The observables are determined both from an unbinned maximum likelihood fit and by using the principal moments of the angular distribution. In addition, by fitting for $q^2$-dependent decay amplitudes in the region $1.1 < q^{2} < 6.0 \mathrm{\,GeV}^{2}/c^{4}$, the zero-crossing points of several angular observables are computed. A global fit is performed to the complete set of $C\!P$-averaged observables obtained from the maximum likelihood fit. This fit indicates differences with predictions based on the Standard Model at the level of 3.4 standard deviations. These differences could be explained by contributions from physics beyond the Standard Model, or by an unexpectedly large hadronic effect that is not accounted for in the Standard Model predictions.

  • Table 1

    Data from Appendix A, Table 3

    10.17182/hepdata.74247.v1/t1

    CP-averaged angular observables evaluated by the unbinned maximum likelihood fit.

  • Table 2

    Data from Appendix A, Table 4

    10.17182/hepdata.74247.v1/t2

    CP-averaged angular observables evaluated by the unbinned maximum likelihood fit. The first uncertainties are statistical and the second systematic.

  • Table 3

    Data from Appendix A, Table 5

    10.17182/hepdata.74247.v1/t3

    CP-asymmetric angular observables evaluated by the unbinned maximum likelihood fit. The first uncertainties are statistical and the second systematic.

  • Table 4

    Data from Appendix A, Table 6

    10.17182/hepdata.74247.v1/t4

    Optimised angular observables evaluated by the unbinned maximum likelihood fit. The first uncertainties are statistical and the second systematic.

  • Table 5

    Data from Appendix A, Table 7

    10.17182/hepdata.74247.v1/t5

    CP-averaged angular observables evaluated using the method of moments. The first uncertainties are statistical and the second systematic.

  • Table 6

    Data from Appendix A, Table 8

    10.17182/hepdata.74247.v1/t6

    CP-asymmetries evaluated using the method of moments. The first uncertainties are statistical and the second systematic.

  • Table 7

    Data from Appendix A, Table 9

    10.17182/hepdata.74247.v1/t7

    Optimised observables evaluated using the method of moments. The first uncertainties are statistical and the second systematic.

  • Table 8

    Data from Section 9

    10.17182/hepdata.74247.v1/t8

    Zero-crossing points determined with an amplitude fit.

  • Table 9

    Data from Appendix C, Table 10

    10.17182/hepdata.74247.v1/t9

    Likelihood correlation matrix $0.1 < q^2 < 0.98~{\rm GeV}^2/c^4$.

  • Table 10

    Data from Appendix C, Table 11

    10.17182/hepdata.74247.v1/t10

    Likelihood correlation matrix $1.1 < q^2 < 2.5~{\rm GeV}^2/c^4$.

  • Table 11

    Data from Appendix C, Table 12

    10.17182/hepdata.74247.v1/t11

    Likelihood correlation matrix $2.5 < q^2 < 4.0~{\rm GeV}^2/c^4$.

  • Table 12

    Data from Appendix C, Table 13

    10.17182/hepdata.74247.v1/t12

    Likelihood correlation matrix $4.0 <q^2< 6.0~{\rm GeV}^2/c^4$.

  • Table 13

    Data from Appendix C, Table 14

    10.17182/hepdata.74247.v1/t13

    Likelihood correlation matrix $6.0 < q^2 < 8.0~{\rm GeV}^2/c^4$.

  • Table 14

    Data from Appendix C, Table 15

    10.17182/hepdata.74247.v1/t14

    Likelihood correlation matrix $11.0 <q^2< 12.5 ~{\rm GeV}^2/c^4$.

  • Table 15

    Data from Appendix C, Table 16

    10.17182/hepdata.74247.v1/t15

    Likelihood correlation matrix $15.0 < q^2 < 17.0 ~{\rm GeV}^2/c^4$.

  • Table 16

    Data from Appendix C, Table 17

    10.17182/hepdata.74247.v1/t16

    Likelihood correlation matrix $17.0 <q^2< 19.0~{\rm GeV}^2/c^4$.

  • Table 17

    Data from Appendix C, Table 18

    10.17182/hepdata.74247.v1/t17

    Likelihood correlation matrix $1.1 <q^2< 6.0~{\rm GeV}^2/c^4$.

  • Table 18

    Data from Appendix C, Table 19

    10.17182/hepdata.74247.v1/t18

    Likelihood correlation matrix $15.0 <q^2< 19.0~{\rm GeV}^2/c^4$.

  • Table 19

    Data from Appendix D, Table 20

    10.17182/hepdata.74247.v1/t19

    Likelihood correlation matrix $0.1 < q^2 < 0.98~{\rm GeV}^2/c^4$.

  • Table 20

    Data from Appendix D, Table 21

    10.17182/hepdata.74247.v1/t20

    Likelihood correlation matrix $1.1 < q^2 < 2.5~{\rm GeV}^2/c^4$.

  • Table 21

    Data from Appendix D, Table 22

    10.17182/hepdata.74247.v1/t21

    Likelihood correlation matrix $2.5 < q^2 < 4.0~{\rm GeV}^2/c^4$.

  • Table 22

    Data from Appendix D, Table 23

    10.17182/hepdata.74247.v1/t22

    Likelihood correlation matrix $4.0 <q^2< 6.0~{\rm GeV}^2/c^4$.

  • Table 23

    Data from Appendix D, Table 24

    10.17182/hepdata.74247.v1/t23

    Likelihood correlation matrix $6.0 < q^2 < 8.0~{\rm GeV}^2/c^4$.

  • Table 24

    Data from Appendix D, Table 25

    10.17182/hepdata.74247.v1/t24

    Likelihood correlation matrix $11.0 <q^2< 12.5 ~{\rm GeV}^2/c^4$.

  • Table 25

    Data from Appendix D, Table 26

    10.17182/hepdata.74247.v1/t25

    Likelihood correlation matrix $15.0 <q^2< 17.0 ~{\rm GeV}^2/c^4$.

  • Table 26

    Data from Appendix D, Table 27

    10.17182/hepdata.74247.v1/t26

    Likelihood correlation matrix $17.0 <q^2< 19.0~{\rm GeV}^2/c^4$.

  • Table 27

    Data from Appendix D, Table 28

    10.17182/hepdata.74247.v1/t27

    Likelihood correlation matrix $1.1 <q^2< 6.0~{\rm GeV}^2/c^4$.

  • Table 28

    Data from Appendix D, Table 29

    10.17182/hepdata.74247.v1/t28

    Likelihood correlation matrix $15.0 <q^2< 19.0~{\rm GeV}^2/c^4$.

  • Table 29

    Data from Appendix E, Table 30

    10.17182/hepdata.74247.v1/t29

    Likelihood correlation matrix $0.1 < q^2 < 0.98~{\rm GeV}^2/c^4$.

  • Table 30

    Data from Appendix E, Table 31

    10.17182/hepdata.74247.v1/t30

    Likelihood correlation matrix $1.1 < q^2 < 2.5~{\rm GeV}^2/c^4$.

  • Table 31

    Data from Appendix E, Table 32

    10.17182/hepdata.74247.v1/t31

    Likelihood correlation matrix $2.5 < q^2 < 4.0~{\rm GeV}^2/c^4$.

  • Table 32

    Data from Appendix E, Table 33

    10.17182/hepdata.74247.v1/t32

    Likelihood correlation matrix $4.0 <q^2< 6.0~{\rm GeV}^2/c^4$.

  • Table 33

    Data from Appendix E, Table 34

    10.17182/hepdata.74247.v1/t33

    Likelihood correlation matrix $6.0 < q^2 < 8.0~{\rm GeV}^2/c^4$.

  • Table 34

    Data from Appendix E, Table 35

    10.17182/hepdata.74247.v1/t34

    Likelihood correlation matrix $11.0 <q^2< 12.5 ~{\rm GeV}^2/c^4$.

  • Table 35

    Data from Appendix E, Table 36

    10.17182/hepdata.74247.v1/t35

    Likelihood correlation matrix $15.0 <q^2< 17.0 ~{\rm GeV}^2/c^4$.

  • Table 36

    Data from Appendix E, Table 37

    10.17182/hepdata.74247.v1/t36

    Likelihood correlation matrix $17.0 <q^2< 19.0~{\rm GeV}^2/c^4$.

  • Table 37

    Data from Appendix E, Table 38

    10.17182/hepdata.74247.v1/t37

    Likelihood correlation matrix $1.1 <q^2< 6.0~{\rm GeV}^2/c^4$.

  • Table 38

    Data from Appendix E, Table 39

    10.17182/hepdata.74247.v1/t38

    Likelihood correlation matrix $15.0 <q^2< 19.0~{\rm GeV}^2/c^4$.

  • Table 39

    Data from Appendix F, Table 40

    10.17182/hepdata.74247.v1/t39

    Bootstrap correlation matrix $0.10 < q^2 < 0.98~{\rm GeV}^2/c^4$.

  • Table 40

    Data from Appendix F, Table 41

    10.17182/hepdata.74247.v1/t40

    Bootstrap correlation matrix $1.1 < q^2 < 2.0~{\rm GeV}^2/c^4$.

  • Table 41

    Data from Appendix F, Table 42

    10.17182/hepdata.74247.v1/t41

    Bootstrap correlation matrix $2.0 < q^2 < 3.0~{\rm GeV}^2/c^4$.

  • Table 42

    Data from Appendix F, Table 43

    10.17182/hepdata.74247.v1/t42

    Bootstrap correlation matrix $3.0 < q^2 < 4.0~{\rm GeV}^2/c^4$.

  • Table 43

    Data from Appendix F, Table 44

    10.17182/hepdata.74247.v1/t43

    Bootstrap correlation matrix $4.0 < q^2 < 5.0~{\rm GeV}^2/c^4$.

  • Table 44

    Data from Appendix F, Table 45

    10.17182/hepdata.74247.v1/t44

    Bootstrap correlation matrix $5.0 < q^2 < 6.0~{\rm GeV}^2/c^4$.

  • Table 45

    Data from Appendix F, Table 46

    10.17182/hepdata.74247.v1/t45

    Bootstrap correlation matrix $6.0 < q^2 < 7.0~{\rm GeV}^2/c^4$.

  • Table 46

    Data from Appendix F, Table 47

    10.17182/hepdata.74247.v1/t46

    Bootstrap correlation matrix $7.0 < q^2 < 8.0~{\rm GeV}^2/c^4$.

  • Table 47

    Data from Appendix F, Table 48

    10.17182/hepdata.74247.v1/t47

    Bootstrap correlation matrix $11.00 <q^2 < 11.75~{\rm GeV}^2/c^4$.

  • Table 48

    Data from Appendix F, Table 49

    10.17182/hepdata.74247.v1/t48

    Bootstrap correlation matrix $11.75 <q^2 < 12.50~{\rm GeV}^2/c^4$.

  • Table 49

    Data from Appendix F, Table 50

    10.17182/hepdata.74247.v1/t49

    Bootstrap correlation matrix $15.0 <q^2 < 16.0~{\rm GeV}^2/c^4$.

  • Table 50

    Data from Appendix F, Table 51

    10.17182/hepdata.74247.v1/t50

    Bootstrap correlation matrix $16.0 <q^2 < 17.0~{\rm GeV}^2/c^4$.

  • Table 51

    Data from Appendix F, Table 52

    10.17182/hepdata.74247.v1/t51

    Bootstrap correlation matrix $17.0 <q^2 < 18.0~{\rm GeV}^2/c^4$.

  • Table 52

    Data from Appendix F, Table 53

    10.17182/hepdata.74247.v1/t52

    Bootstrap correlation matrix $18.0 <q^2 < 19.0~{\rm GeV}^2/c^4$.

  • Table 53

    Data from Appendix F, Table 54

    10.17182/hepdata.74247.v1/t53

    Bootstrap correlation matrix $15.0 <q^2 < 19.0~{\rm GeV}^2/c^4$.

  • Table 54

    Data from Appendix G, Table 55

    10.17182/hepdata.74247.v1/t54

    Bootstrap correlation matrix $0.10 < q^2 < 0.98~{\rm GeV}^2/c^4$.

  • Table 55

    Data from Appendix G, Table 56

    10.17182/hepdata.74247.v1/t55

    Bootstrap correlation matrix $1.1 < q^2 < 2.0~{\rm GeV}^2/c^4$.

  • Table 56

    Data from Appendix G, Table 57

    10.17182/hepdata.74247.v1/t56

    Bootstrap correlation matrix $2.0 < q^2 < 3.0~{\rm GeV}^2/c^4$.

  • Table 57

    Data from Appendix G, Table 58

    10.17182/hepdata.74247.v1/t57

    Bootstrap correlation matrix $3.0 < q^2 < 4.0~{\rm GeV}^2/c^4$.

  • Table 58

    Data from Appendix G, Table 59

    10.17182/hepdata.74247.v1/t58

    Bootstrap correlation matrix $4.0 < q^2 < 5.0~{\rm GeV}^2/c^4$.

  • Table 59

    Data from Appendix G, Table 60

    10.17182/hepdata.74247.v1/t59

    Bootstrap correlation matrix $5.0 < q^2 < 6.0~{\rm GeV}^2/c^4$.

  • Table 60

    Data from Appendix G, Table 61

    10.17182/hepdata.74247.v1/t60

    Bootstrap correlation matrix $6.0 < q^2 < 7.0~{\rm GeV}^2/c^4$.

  • Table 61

    Data from Appendix G, Table 62

    10.17182/hepdata.74247.v1/t61

    Bootstrap correlation matrix $7.0 < q^2 < 8.0~{\rm GeV}^2/c^4$.

  • Table 62

    Data from Appendix G, Table 63

    10.17182/hepdata.74247.v1/t62

    Bootstrap correlation matrix $11.00 <q^2 < 11.75~{\rm GeV}^2/c^4$.

  • Table 63

    Data from Appendix G, Table 64

    10.17182/hepdata.74247.v1/t63

    Bootstrap correlation matrix $11.75 <q^2 < 12.50~{\rm GeV}^2/c^4$.

  • Table 64

    Data from Appendix G, Table 65

    10.17182/hepdata.74247.v1/t64

    Bootstrap correlation matrix $15.0 <q^2 < 16.0~{\rm GeV}^2/c^4$.

  • Table 65

    Data from Appendix G, Table 66

    10.17182/hepdata.74247.v1/t65

    Bootstrap correlation matrix $16.0 <q^2 < 17.0~{\rm GeV}^2/c^4$.

  • Table 66

    Data from Appendix G, Table 67

    10.17182/hepdata.74247.v1/t66

    Bootstrap correlation matrix $17.0 <q^2 < 18.0~{\rm GeV}^2/c^4$.

  • Table 67

    Data from Appendix G, Table 68

    10.17182/hepdata.74247.v1/t67

    Bootstrap correlation matrix $18.0 <q^2 < 19.0~{\rm GeV}^2/c^4$.

  • Table 68

    Data from Appendix G, Table 69

    10.17182/hepdata.74247.v1/t68

    Bootstrap correlation matrix $15.0 <q^2 < 19.0~{\rm GeV}^2/c^4$.

  • Table 69

    Data from Appendix H, Table 70

    10.17182/hepdata.74247.v1/t69

    Bootstrap correlation matrix $0.1 <q^2 < 0.98~{\rm GeV}^2/c^4$.

  • Table 70

    Data from Appendix H, Table 71

    10.17182/hepdata.74247.v1/t70

    Bootstrap correlation matrix $1.1 <q^2 < 2.0~{\rm GeV}^2/c^4$.

  • Table 71

    Data from Appendix H, Table 72

    10.17182/hepdata.74247.v1/t71

    Bootstrap correlation matrix $2.0 <q^2 < 3.0~{\rm GeV}^2/c^4$.

  • Table 72

    Data from Appendix H, Table 73

    10.17182/hepdata.74247.v1/t72

    Bootstrap correlation matrix $3.0 <q^2 < 4.0~{\rm GeV}^2/c^4$.

  • Table 73

    Data from Appendix H, Table 74

    10.17182/hepdata.74247.v1/t73

    Bootstrap correlation matrix $4.0 <q^2 < 5.0~{\rm GeV}^2/c^4$.

  • Table 74

    Data from Appendix H, Table 75

    10.17182/hepdata.74247.v1/t74

    Bootstrap correlation matrix $5.0 <q^2 < 6.0~{\rm GeV}^2/c^4$.

  • Table 75

    Data from Appendix H, Table 76

    10.17182/hepdata.74247.v1/t75

    Bootstrap correlation matrix $6.0 <q^2 < 7.0~{\rm GeV}^2/c^4$.

  • Table 76

    Data from Appendix H, Table 77

    10.17182/hepdata.74247.v1/t76

    Bootstrap correlation matrix $7.0 <q^2 < 8.0~{\rm GeV}^2/c^4$.

  • Table 77

    Data from Appendix H, Table 78

    10.17182/hepdata.74247.v1/t77

    Bootstrap correlation matrix $11.0 <q^2 < 11.75~{\rm GeV}^2/c^4$.

  • Table 78

    Data from Appendix H, Table 79

    10.17182/hepdata.74247.v1/t78

    Bootstrap correlation matrix $11.75 <q^2 < 12.5~{\rm GeV}^2/c^4$.

  • Table 79

    Data from Appendix H, Table 80

    10.17182/hepdata.74247.v1/t79

    Bootstrap correlation matrix $15.0 <q^2 < 16.0~{\rm GeV}^2/c^4$.

  • Table 80

    Data from Appendix H, Table 81

    10.17182/hepdata.74247.v1/t80

    Bootstrap correlation matrix $16.0 <q^2 < 17.0~{\rm GeV}^2/c^4$.

  • Table 81

    Data from Appendix H, Table 82

    10.17182/hepdata.74247.v1/t81

    Bootstrap correlation matrix $17.0 < q^2 < 18.0~{\rm GeV}^2/c^4$.

  • Table 82

    Data from Appendix H, Table 83

    10.17182/hepdata.74247.v1/t82

    Bootstrap correlation matrix $18.0 < q^2 < 19.0~{\rm GeV}^2/c^4$.

  • Table 83

    Data from Appendix H, Table 84

    10.17182/hepdata.74247.v1/t83

    Bootstrap correlation matrix $15.0 < q^2 < 19.0~{\rm GeV}^2/c^4$.

Loading Data...