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We show that not only the hierarchical quark CKM mixing matrix but also the "bimaximal" lepton flavor mixing matrix can be derived from the same mass matrix ansatz based on the broken permutation symmetry, by assuming the hierarchy of…

High Energy Physics - Phenomenology · Physics 2016-09-06 C. S. Kim , J. D. Kim

String compactifications on an orbi-folded torus with complex structure give rise to chiral fermions, spontaneously broken CP, modular invariance. We show that this allows simple effective theories of flavour and CP where: i) the QCD angle…

High Energy Physics - Phenomenology · Physics 2023-07-26 Ferruccio Feruglio , Alessandro Strumia , Arsenii Titov

The Standard Model fermion sector is enlarged by either one light singlet vector-like down-type quark or one light vector-like lepton doublet, which might be accommodated within a five-dimensional representation of SU(5). At low energies…

High Energy Physics - Phenomenology · Physics 2014-06-11 Ilja Dorsner , Svjetlana Fajfer , Ivana Mustac

We review two recently proposed on-shell schemes for the renormalization of the Cabibbo-Kobayashi-Maskawa (CKM) quark mixing matrix in the Standard Model. One first constructs gauge-independent mass counterterm matrices for the up- and…

High Energy Physics - Phenomenology · Physics 2010-01-15 B. A. Kniehl , A. Sirlin

The measured partial widths of the semileptonic decays D to K l nu and D to pi l nu can be combined with the form factors calculated on the lattice to extract the CKM matrix elements |V_cs| and |V_cd|. The lattice calculations can be…

High Energy Physics - Lattice · Physics 2019-08-15 Jon A. Bailey , A. Bazavov , A. X. El-Khadra , Steven Gottlieb , R. D. Jain , A. S. Kronfeld , R. S. Van de Water , R. Zhou

In this work we consider generic losses of rank for complex valued matrix functions depending on two parameters. We give theoretical results that characterize parameter regions where these losses of rank occur. Our main results consist in…

Rings and Algebras · Mathematics 2025-09-01 Luca Dieci , Alessandro Pugliese

The singular value decomposition (SVD) and the principal component analysis are fundamental tools and probably the most popular methods for data dimension reduction. The rapid growth in the size of data matrices has lead to a need for…

Statistics Theory · Mathematics 2020-02-03 Ting-Li Chen , Su-Yun Huang , Weichung Wang

A model independent study of the minimal flavor violation (MFV) framework is presented, where the only sources of flavor breaking at low energy are the up and down Yukawa matrices. Two limits are identified for the Yukawa coupling…

High Energy Physics - Phenomenology · Physics 2009-10-29 Alexander L. Kagan , Gilad Perez , Tomer Volansky , Jure Zupan

We investigate the singular value decomposition of a rectangular matrix that is analytic on the complex unit circumference, which occurs, e.g., with the matrix of transfer functions representing a broadband multiple-input multiple-output…

Numerical Analysis · Mathematics 2023-12-04 Giovanni Barbarino

The possibility to test the unitarity triangle of CKM matrix is examined by using the semileptonic rare $B$ decays, $B \rightarrow X_q \, \l^+ \, \l^-$ with $q = d, s$ and $\l$'s are leptons. The discussion is emphasized on the CP asymmetry…

High Energy Physics - Phenomenology · Physics 2007-05-23 L. T. Handoko

Using unitarity, unlike the approaches available in the literature, we have constructed 9 independent representations of CKM matrix starting with each of the 9 elements of the matrix. The relationship of these independently constructed…

High Energy Physics - Phenomenology · Physics 2024-06-25 Gurjit Kaur , Aakriti Bagai , Gulsheen Ahuja , Manmohan Gupta

We compare calcium ion signaling ($\mathrm {Ca}^{2+}$) between two exposures; the data are present as movies, or, more prosaically, time series of images. This paper describes novel uses of singular value decompositions (SVD) and weighted…

We discuss possible signatures of the tree level FCNC, which results from the non-unitarity of CKM matrix. We first define the unitaity step-by-step, and possible test of the non-unitaity through the 4-value-KM parametrization. We, then,…

High Energy Physics - Phenomenology · Physics 2008-12-18 C. S. Kim , Amol Dighe

We study flavor violation in a supersymmetric SU(5) grand unification scenario in a model-independent way employing mass insertions. We examine how the quark and the lepton sector observables restrict sfermion mixings. In many cases, a…

High Energy Physics - Phenomenology · Physics 2007-10-25 Jae-hyeon Park

We explore the phenomenological implications on non-minimal flavor violating (NMFV) processes from squark flavor mixing within the Minimal Supersymmetric Standard Model. We work under the model-independent hypothesis of general flavor…

High Energy Physics - Phenomenology · Physics 2014-10-08 M. Arana-Catania , S. Heinemeyer , M. J. Herrero

The determination of the Vub element of the Cabibbo-Kobayashi-Maskawa (CKM) quark mixing matrix plays a central role in testing the Standard Model (SM) interpretation of CP violation. Measurements at B-Factories are contributing with…

High Energy Physics - Experiment · Physics 2007-05-23 A. Sarti

The singular value decomposition (SVD) is a crucial tool in machine learning and statistical data analysis. However, it is highly susceptible to outliers in the data matrix. Existing robust SVD algorithms often sacrifice speed for…

Machine Learning · Statistics 2024-02-16 Sangil Han , Kyoowon Kim , Sungkyu Jung

The Standard Model lacks an organizing principle to describe quark and lepton ``flavours''. Neutrino oscillation experiments show that leptons mix very differently from quarks, adding a major challenge to the flavour puzzle. We briefly…

High Energy Physics - Phenomenology · Physics 2025-02-04 Gui-Jun Ding , Jose W. F. Valle

It is pointed out that if a flavor symmetry (a discrete symmetry, a U(1) symmetry, and so on) exists, we cannot obtain the observed CKM quark mixing matrix V_q and MNS lepton mixing matrix U_\ell, even if we can obtain reasonable mass…

High Energy Physics - Phenomenology · Physics 2007-05-23 Yoshio Koide

This paper aims at a better understanding of matrix factorization (MF), factorization machines (FM), and their combination with deep algorithms' application in recommendation systems. Specifically, this paper will focus on Singular Value…

Information Retrieval · Computer Science 2022-03-22 Yuefeng Zhang