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Noting the hierarchy between three mixing angles, $\theta_{2,3}={\cal O}(\theta_1^2)$, we present an exact form of the quark mixing matrix, replacing Wolfenstein's approximate form. In addition, we suggest to rotate the unitarity triangle,…

High Energy Physics - Phenomenology · Physics 2015-05-28 Jihn E. Kim , Min-Seok Seo

A review of the current status of the Cabibbo-Kobayashi-Maskawa matrix V_CKM is presented. This paper contains an update of the results published in hep-ph/9711261. Values of the parameters entering into the constraints, which restrict the…

High Energy Physics - Phenomenology · Physics 2007-05-23 F. Parodi , P. Roudeau , A. Stocchi

Possible effects of noncommutative geometry on weak CP violation and unitarity triangles are discussed by taking account of a simple version of the momentum-dependent quark mixing matrix in the noncommutative standard model. In particular,…

High Energy Physics - Phenomenology · Physics 2010-11-23 Zhe Chang , Zhi-zhong Xing

The experimental status and theoretical uncertainties of the Cabibbo--Kobayashi--Maskawa (CKM) matrix describing the charge-changing weak transitions between quarks with charges -1/3 ($d, s, b$) and 2/3 ($u, c, t$) are reviewed. Some recent…

High Energy Physics - Phenomenology · Physics 2007-05-23 Jonathan L. Rosner

In the weak-coupling limit, kappa_0 going to infinity, the partition function of simplicial quantum gravity is dominated by an ensemble of triangulations with the ratio N_0/N_D close to the upper kinematic limit. For a combinatorial…

High Energy Physics - Lattice · Physics 2009-10-31 G. Thorleifsson , P. Bialas , B. Petersson

In Standard Model, CP violation arises from an irreducible complex phase in the quark mixing matrix, now under the name Cabibbo-Kobayashi-Maskawa matrix. This description has shown remarkably overall agreement with various experimental…

High Energy Physics - Phenomenology · Physics 2014-08-06 Wei Wang

The currently favored model of CP violation is based on phases in the Cabibbo-Kobayashi-Maskawa (CKM) matrix describing the weak charge-changing couplings of quarks. The present status of parameters of this matrix is described. Tests of the…

High Energy Physics - Phenomenology · Physics 2014-11-17 Jonathan L. Rosner

The determination of the angle $\gamma$ of the unitarity triangle of the CKM matrix is a challenge for the $B$-factories. In this context, $B\to\pi K$ decays received a lot of attention, providing various interesting ways to constrain and…

High Energy Physics - Phenomenology · Physics 2007-05-23 Robert Fleischer

A method is described which, under the assumption of SU(3) symmetry, allows one to determine the angle gamma=Arg(Vub^*) of the unitarity triangle from time-independent measurements of the branching ratios for the decays B^+ -> pi^0 K^+ and…

High Energy Physics - Phenomenology · Physics 2010-11-23 Matthias Neubert , Jonathan L. Rosner

The angle gamma of the standard CKM unitarity triangle can be determined from B -> D K decays with a very small irreducible theoretical error, which is only due to second-order electroweak corrections. We study these contributions and…

High Energy Physics - Phenomenology · Physics 2015-06-17 Joachim Brod , Jure Zupan

If CP violation in the decays of neutral kaons is due to phases in the weak couplings of quarks, as encoded in the Cabibbo-Kobayashi-Maskawa (CKM) matrix, there are many other experimental consequences. Notable among these are CP-violating…

High Energy Physics - Phenomenology · Physics 2009-09-25 J. Rosner

Phases of elements of the Cabibbo-Kobayashi-Maskawa (CKM) matrix, as obtained using decays of $B$ mesons to $\pi^+ \pi^-$, $\pi^\pm K^\mp$, and $\pi^+ K^0$ or $\pi^- \overline{K}^0$, are shown to have a class of discrete ambiguities. In…

High Energy Physics - Phenomenology · Physics 2009-10-28 Amol S. Dighe , Jonathan L. Rosner

It is shown that the weak phase gamma=arg(-V_{ud}V^*_{ub}V_{cb}V_{cd}^*) can be determined using only untagged decays B/Bbar--> D K_S. In order to reduce the uncertainty in gamma, we suggest combining information from B^{+-}--> DK^{+-} and…

High Energy Physics - Phenomenology · Physics 2009-11-10 M. Gronau , Y. Grossman , N. Shuhmaher , A. Soffer , J. Zupan

We propose a new mechanism to generate a CP phase originating from a non-trivial Higgs vacuum expectation value in an extra dimension. A twisted boundary condition for the Higgs doublet can produce an extra dimensional coordinate-dependent…

High Energy Physics - Phenomenology · Physics 2013-04-16 Yukihiro Fujimoto , Kenji Nishiwaki , Makoto Sakamoto

I examine a possibility to extract the angle $\gamma$ of the Cabibbo-Kobayashi-Maskawa unitarity triangle by the inclusive $B \to X_d \l^+ \l^- $ decay. An independent information for the angle is expected from the non-trivial contribution…

High Energy Physics - Phenomenology · Physics 2010-11-23 L. T. Handoko

We present an updated global analysis of beauty decays sensitive to the angle $\gamma$ of the Cabibbo-Kobayashi-Maskawa matrix and of $D$-meson mixing data in the framework of approximate universality, in which CP violation in…

High Energy Physics - Phenomenology · Physics 2025-05-27 F. Betti , M. Bona , M. Ciuchini , D. Derkach , R. Di Palma , A. L. Kagan , V. Lubicz , G. Martinelli , M. Pierini , L. Silvestrini , C. Tarantino , V. Vagnoni

A quadrangle relation is shown to be satisfied by the amplitudes for $B^+ \to \pi^0 K^+,~\pi^+ K^0,~\eta K^+$, and $\eta' K^+$. By comparison with the corresponding relation satisfied by $B^-$ decay amplitudes, it is shown that the relative…

High Energy Physics - Phenomenology · Physics 2016-08-24 Michael Gronau , Jonathan L. Rosner

The value of the V_{ud} matrix element of the Cabibbo-Kobayashi-Maskawa (CKM) matrix can be derived from nuclear superallowed beta decays, neutron decay, and pion beta decay. We survey current world data for all three. Today, the most…

Nuclear Theory · Physics 2008-11-07 I. S. Towner , J. C. Hardy

The experimental status of the Cabibbo-Kobayashi-Maskawa matrix is reviewed. Measurements discussed include B0_(s)-\bar{B}0_(s) mixing and several rare B and K decays with implications for |V_td| and |V_ts|. Extraction of |V_cb| and |V_ub|…

High Energy Physics - Experiment · Physics 2007-05-23 L. Gibbons

We re-examine the question of measuring the weak phase gamma in B -> K pi pi decays. To this end, we express all B -> K pi pi amplitudes in terms of diagrams. We show that, as in B -> K pi, there exist relations between certain tree and…

High Energy Physics - Phenomenology · Physics 2013-05-29 Maxime Imbeault , Nicolas Rey-Le Lorier , David London