Publication

Measurement of the (B)over-bar -> X-s gamma branching fraction with a sum of exclusive decays

Olivier Schneider, Yiming Li, Chao Wang, Tagir Aushev, Sun Hee Kim, Tara Nanut, Jun Yong Kim, Ji Hyun Kim, Donghyun Kim, Xiao Wang
2015
Journal Articles

Abstract

We use 772 x 10(6) B (B) over bar meson pairs collected at the gamma(4S) resonance with the Belle detector to measure the branching fraction for (B) over bar -> X-s gamma Our measurement uses a sum-of-exclusives approach in which 38 of the hadronic final states with strangeness equal to +1, denoted by X-s, are reconstructed. The inclusive branching fraction for M-Xs < 2.8 GeV/c(2), which corresponds to a minimum photon energy of 1.9 GeV, is measured to be B( -> X-s gamma) = (3.51 +/- 0.17 +/- 0.33) x 10(-4), where the first uncertainty is statistical and the second is systematic.

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https://infoscience.epfl.ch/entities/publication/64daa6c8-24d6-4241-a1ec-8a8930e4cb2f

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Olivier Schneider, Yiming Li, Chao Wang, Tagir Aushev, Sun Hee Kim, Tara Nanut, Jun Yong Kim, Ji Hyun Kim, Donghyun Kim, Xiao Wang
2015
Journal Articles

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/64daa6c8-24d6-4241-a1ec-8a8930e4cb2f

About this result

Related concepts (17)

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.

Gamma function

In mathematics, the gamma function (represented by Γ, the capital letter gamma from the Greek alphabet) is one commonly used extension of the factorial function to complex numbers. The gamma function is defined for all complex numbers except the non-positive integers. For every positive integer n, Derived by Daniel Bernoulli, for complex numbers with a positive real part, the gamma function is defined via a convergent improper integral: The gamma function then is defined as the analytic continuation of this integral function to a meromorphic function that is holomorphic in the whole complex plane except zero and the negative integers, where the function has simple poles.

Incomplete gamma function

In mathematics, the upper and lower incomplete gamma functions are types of special functions which arise as solutions to various mathematical problems such as certain integrals. Their respective names stem from their integral definitions, which are defined similarly to the gamma function but with different or "incomplete" integral limits. The gamma function is defined as an integral from zero to infinity. This contrasts with the lower incomplete gamma function, which is defined as an integral from zero to a variable upper limit.

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