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Publication# Estimating r(B)(D pi) as an input to the determination of the CKM angle gamma

Abstract

The interference between Cabibbo-favored and Cabibbo-suppressed B -> D pi decay amplitudes provides sensitivity to the CKM angle gamma. The relative size of the interfering amplitudes is an important ingredient in the determination of gamma. Using branching fractions from various B -> Dh decays, and the measured value for r(B)(DK) the magnitude of the amplitude ratio of B+ -> D-0 pi(+) and B+ -> D-0 pi(+) decays is estimated to be r(B)(D pi) = 0.0053 +/- 0.0007.

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Related concepts (4)

Branching fraction

In particle physics and nuclear physics, the branching fraction (or branching ratio) for a decay is the fraction of particles which decay by an individual decay mode or with respect to the total number of particles which decay. It applies to either the radioactive decay of atoms or the decay of elementary particles. It is equal to the ratio of the partial decay constant to the overall decay constant. Sometimes a partial half-life is given, but this term is misleading; due to competing modes, it is not true that half of the particles will decay through a particular decay mode after its partial half-life.

Pi

The number pi (paɪ; spelled out as "pi") is a mathematical constant that is the ratio of a circle's circumference to its diameter, approximately equal to 3.14159. The number pi appears in many formulae across mathematics and physics. It is an irrational number, meaning that it cannot be expressed exactly as a ratio of two integers, although fractions such as are commonly used to approximate it. Consequently, its decimal representation never ends, nor enters a permanently repeating pattern.

Beta decay

In nuclear physics, beta decay (β-decay) is a type of radioactive decay in which an atomic nucleus emits a beta particle (fast energetic electron or positron), transforming into an isobar of that nuclide. For example, beta decay of a neutron transforms it into a proton by the emission of an electron accompanied by an antineutrino; or, conversely a proton is converted into a neutron by the emission of a positron with a neutrino in so-called positron emission.