Input from the Charm Threshold for the Measurement of the CKM Angle \(\gamma \)
14 Jul 2018-pp 267-276
TL;DR: A brief overview of the inputs from the charm threshold that are essential to the determination of one of the Unitarity Triangle angles, the gamma angle, is presented in this article, where the focus is on the measurements of four-body final states that have not previously been considered.
Abstract: A brief overview of the inputs from charm threshold that are essential to the determination of one of the Unitarity Triangle angles, \(\gamma \) is presented. The focus is on the measurements of four-body final states that have not previously been considered: \(D^0\rightarrow K_\mathrm{S}^0 \pi ^+ \pi ^- \pi ^0 \) and \(D^0 \rightarrow \pi ^+ \pi ^- \pi ^+ \pi ^-\).
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TL;DR: The complete review as discussed by the authors is published online on the website of the Particle Data Group (http://pdg.lbl.gov) and in a journal. Volume 1 is available in print as thePDG Book.
Abstract: The complete Review(both volumes) is published online on the website of the Particle Data Group(http://pdg.lbl.gov) and in a journal. Volume 1 is available in print as thePDG Book. AParticle Physics Bookletwith the Summary Tables and essential tables, figures, and equations from selected review articles is also available.
6,464 citations
TL;DR: In this article, it was shown that no CP-violating interactions exist in the quartet scheme without introducing any other new fields, and that the strong interaction must be chiral SU ( 4) X SU( 4) invariant as precisely as the conservation of the third component of the iso-spin.
Abstract: In a framework of the renormalizable theory of weak interaction, problems of CP-violation are studied. It is concluded that no realistic models of CP-violation exist in the quartet scheme without introducing any other new fields. Some possible models of CP-violation are also discussed. When we apply the renormalizable theory of weak interaction1l to the hadron system, we have some limitations on the hadron model. It is well known that there exists, in the case of the triplet model, a difficulty of the strangeness chang ing neutral current and that the quartet model is free from this difficulty. Fur thermore, Maki and one of the present authors (T.M.) have shown2l that, in the latter case, the strong interaction must be chiral SU ( 4) X SU ( 4) invariant as precisely as the conservation of the third component of the iso-spin 13 • In addi tion to these arguments, for the theory to be realistic, CP-violating interactions should be incorporated in a gauge invariant way. This requirement will impose further limitations on the hadron model and the CP-violating interaction itself. The purpose of the present paper is to investigate this problem. In the following, it will be shown that in the case of the above-mentioned quartet model, we cannot make a CP-violating interaction without introducing any other new fields when we require the following conditions: a) The mass of the fourth member of the quartet, which we will call (, is sufficiently large, b) the model should be con sistent with our well-established knowledge of the semi-leptonic processes. After that some possible ways of bringing CP-violation into the theory will be discussed. We consider the quartet model with a charge assignment of Q, Q -1, Q -1 and Q for p, n, A. and (, respectively, and we take the same underlying gauge group SUweak (2) X SU(1) and the scalar doublet field cp as those of Weinberg's original model.1l Then, hadronic parts of the Lagrangian can be devided in the following way:
5,389 citations
CERN1
TL;DR: In this article, an analysis of leptonic decays based on unitary symmetry for strong interactions and the V-A theory for weak interactions is presented, and an explanation for the observed predominance of the LAMBDA yields + e/sup -/ + nu decay over the lamBDA /sup −/ yields n + e /sup + n decay.
Abstract: An analysis of leptonic decays based on unitary symmetry for strong interactions (eightfold way) and the V-A theory for weak interactions is presented. An explanation for the observed predominance of the LAMBDA yields + e/sup -/ + nu decay over the LAMBDA /sup -/ yields n + e/sup -/ + nu decay is obtained. Branching ratios predicted for electron modes with DELTA S, 1 are presented; the ratios for the above decays agree well with experimental results. (D.C.W.)
3,957 citations
TL;DR: In this paper, the weak phase γ was determined from the CP asymmetry in B±→D01(2)X±, where X± is any hadronic state with the flavor of a K±.
447 citations
TL;DR: In particular, large asymmetries are possible for final states f such that $D^0\to f$ is doubly Cabibbo suppressed while $\overline D^0/\overline DF$ is allowed.
Abstract: The Gronau-London-Wyler (GLW) method extracts the CKM angle $\gamma$ by measuring $B^\pm$ decay rates involving $D^0/\overline D^0$ mesons Since that method necessitates the interference between two amplitudes that are significantly different in magnitude, the resulting asymmetries tend to be small CP violation can be greatly enhanced for decays to final states that are common to both D^0 and $\overline D^0$ and that are not CP eigenstates In particular, large asymmetries are possible for final states f such that $D^0\to f$ is doubly Cabibbo suppressed while $\overline D^0\to f$ is Cabibbo allowed The measurement of interference effects in two such modes allows the extraction of $\gamma$ without prior knowledge of $Br(B^-\to K^- \overline D^0)$, which may be difficult to determine due to backgrounds
367 citations