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Measurement of the branching fraction ratio B(B-c(+) -> psi(2S)pi(+))/B(B-c(+) -> J/psi pi(+))

Abstract

Using pp collision data collected by LHCb at center-of-mass energies root s = 7 TeV and 8 TeV, corresponding to an integrated luminosity of 3 fb(-1), the ratio of the branching fraction of the B-c(+) -> psi(2S)pi(+) decay relative to that of the B-c(+) -> J/psi pi(+) decay is measured to be 0.268 +/- 0.032(stat) +/- 0.007(syst) +/- 0.006(BF). The first uncertainty is statistical, the second is systematic, and the third is due to the uncertainties on the branching fractions of the J/psi -> mu(+)mu(-) and psi(2S) -> mu(+)mu(-) decays. This measurement is consistent with the previous LHCb result, and the statistical uncertainty is halved.

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Abstract

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Related concepts (16)

Generalized continued fraction

In complex analysis, a branch of mathematics, a generalized continued fraction is a generalization of regular continued fractions in canonical form, in which the partial numerators and partial denominators can assume arbitrary complex values. A generalized continued fraction is an expression of the form where the an (n > 0) are the partial numerators, the bn are the partial denominators, and the leading term b0 is called the integer part of the continued fraction.

Gauss's continued fraction

In complex analysis, Gauss's continued fraction is a particular class of continued fractions derived from hypergeometric functions. It was one of the first analytic continued fractions known to mathematics, and it can be used to represent several important elementary functions, as well as some of the more complicated transcendental functions. Lambert published several examples of continued fractions in this form in 1768, and both Euler and Lagrange investigated similar constructions, but it was Carl Friedrich Gauss who utilized the algebra described in the next section to deduce the general form of this continued fraction, in 1813.

Large Hadron Collider

The Large Hadron Collider (LHC) is the world's largest and highest-energy particle collider. It was built by the European Organization for Nuclear Research (CERN) between 1998 and 2008 in collaboration with over 10,000 scientists and hundreds of universities and laboratories, as well as more than 100 countries. It lies in a tunnel in circumference and as deep as beneath the France–Switzerland border near Geneva. The first collisions were achieved in 2010 at an energy of 3.

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