Results for the "Summer 2000" preprint


The following material is available publicly:

(home , top , next)

Summary of b-hadron fractions and oscillation averages

The fractions below are for an unbiased sample of weakly decaying b-hadrons produced at high energy. These fractions are assumed to be the same in Z decays or in proton-antiproton collisions at sqrt(s)=1.8 TeV. They have been obtained by combining direct rate measurements from LEP and CDF with all available mixing measurements from ALEPH, CDF, DELPHI, L3, OPAL, SLD as well as from ARGUS and CLEO. The B+ and B0 mesons are assumed to be produced in equal amount, the Bc production is neglected and the sum of the fractions is constrained to unity.

b hadron species fraction correlation with f(Bs) correlation with f(b-baryon)
Bs f(Bs) = 0.098 +- 0.012
b baryons f(b-baryon) = 0.103 +- 0.018 +0.009
B0 or B+ f(Bd) = f(Bu) = 0.399 +- 0.011 -0.554 -0.837


Combined result on B0 mixing, obtained separately from time-dependent measurements of the oscillation frequency dmd at high energy colliders and from time-integrated measurements of the mixing probability chid at symmetric Upsilon(4S) machines:

dmd = 0.486 +- 0.015 ps-1 from time-dependent measurements at ALEPH, CDF, DELPHI, L3, OPAL, SLD
chid = 0.182 +- 0.015 from time-integrated measurements at ARGUS and CLEO


Assuming no CP violation in the mixing and no width difference in the B0 system, and assuming a B0 lifetime of 1.546 +- 0.021 ps (an experimental average obtained by the B lifetimes working group), all above measurements can be combined to yield the following world averages:

dmd = 0.487 +- 0.014 ps-1 from all ALEPH, CDF, DELPHI, L3, OPAL, SLD, ARGUS and CLEO measurements
chid = 0.181 +- 0.007 from all ALEPH, CDF, DELPHI, L3, OPAL, SLD, ARGUS and CLEO measurements


Combined results on Bs oscillations:

dms > 15.0 ps-1 at 95% CL from all ALEPH, CDF, DELPHI, OPAL and SLD studies with a combined 95% CL sensitivity of 18.1 ps-1


Assuming a Bs lifetime of 1.464 +- 0.057 ps (an average obtained by the B lifetime working group), the above limit corresponds to xs > 21.3 at 95% CL. Assuming no CP violation in the mixing and no width difference in the Bs system, this also corresponds to chis > 0.49890 at 95% CL.


Note on the combination procedures

Many B oscillations results depend on the knowledge of certain physics inputs like the lifetimes and production fractions of the various b hadron species. Various analyses have assumed different values for these physics inputs. The combined results quoted on this page have been obtained assuming a common set of physics inputs. To do this, each individual measurement has been adjusted to the common set of physics inputs before averaging. These adjustments have been performed if (and only if) a systematic uncertainty associated to a given physics parameters has been quoted by the experiment. The adjustment procedure affects both the central value of the measurement (by an amount proportionnal to the quoted systemtic uncertainty) and the relevant systematic uncertainty.

The common set of physics inputs consists mainly of:


(home , top , next, previous)

Plot of dmd measurements and their averages

All individual measurements are listed as quoted by the experiments; they might assume different physics inputs. The averages (which take into account all known correlations) are quoted after adjusting all the individual measurements to the common set of physics inputs. The chid average from ARGUS and CLEO is converted to a dmd measurement assuming no CP violation, no width difference in the B0 system and a B0 lifetime of 1.546 +- 0.021 ps.


colour ps / colour eps / black-and-white ps / black-and-white eps /

Same without average including time-integrated (chid) measurements:
colour ps / colour eps / black-and-white ps / black-and-white eps /

Only LEP measurements and average:
colour ps / colour eps / black-and-white ps / black-and-white eps /

(home, top, next, previous)

Plot of dmd averages per experiment

All individual experiment averages are listed as quoted by the experiments (or computed by the working group without performing any adjustments); they might assume different physics inputs. The global averages are quoted after adjusting all the individual measurements to the common set of physics inputs. The chid average from ARGUS and CLEO is converted to a dmd measurement assuming no CP violation, no width difference in the B0 system and a B0 lifetime of 1.546 +- 0.021 ps.


colour ps / colour eps / black-and-white ps / black-and-white eps /

(home, top, next, previous)

Plot of combined Bs oscillation amplitude vs dms

The combined Bs amplitude is displayed as function of dms. All measurements have been adjusted to the common set of inputs before averaging. Systematic correlations are taken into account. An amplitude consistent with 1 is expected at the true value of dms. An amplitude consistent with 0 is expected far below the true value of dms. All values of dms for which the combined amplitude plus 1.645 times its total uncertainty is smaller than 1 (in this case all values of dms below 15.0 ps-1) are excluded at 95% CL. The combined sensitivity for 95% CL exclusion (equal to 18.1 ps-1 in this case) is defined as the value of dms at which the total uncertainty on the measured amplitude is equal to 1/1.645.


colour ps / colour eps / colour ps (up to 20 ps-1 only) / colour eps (up to 20 ps-1 only) / ASCII file with numerical data /

Same, but using only LEP data:
colour ps / colour eps / colour ps (up to 20 ps-1 only) / colour eps (up to 20 ps-1 only) / ASCII file with numerical data /

(home, top, previous)

Plot of Bs oscillation amplitude measurements and their average

All individual measurements of the Bs oscillation amplitude at a fixed value of dms are listed as quoted by the experiments (or obtained by a linear interpolation between other dms values at which the experiment did the measurements); they might assume different physics inputs. The sensitivity quoted for each experiment is obtained from the positive amplitude uncertainty, without performing adjustments. The average and combined sensitivity are obtained after adjusting all the individual measurements to the common set of physics inputs. The sensitivites are defined as the value of dms at which the positive uncertainty on the measured amplitude is equal to 1/1.645; they correspond to sensitivites for 95% CL exclusion limits.


colour ps / colour eps / black-and-white ps / black-and-white eps /

Same, but at dms=10 ps-1:
colour ps / colour eps / black-and-white ps / black-and-white eps /


Author: OS
Latest mod. 03-May-2001