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The measured value of the weak mixing angle is, at present, the only precise experimental indication for physics beyond the Standard Model. It points in the direction of Unified Theories with Supersymmetric particles at accessible energies.…

High Energy Physics - Phenomenology · Physics 2009-09-25 Savas Dimopoulos

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

Unimodularity is localized to a complete stationary type, and its properties are analysed. Some variants of unimodularity for definable and type-definable sets are introduced, and the relationship between these different notions is studied.…

Logic · Mathematics 2016-10-06 Darío García , Frank Olaf Wagner

The core arguments used in various proofs of the extremal principle and its extensions as well as in primal and dual characterizations of approximate stationarity and transversality of collections of sets are exposed, analyzed and refined,…

Optimization and Control · Mathematics 2022-06-17 Hoa T. Bui , Alexander Y. Kruger

We provide conditions on the coefficients of a ternary cubic form that determine its Waring rank.

Commutative Algebra · Mathematics 2022-02-21 Gary Brookfield

We present the status of the Unitarity Triangle analysis focused on the analyses connected to the CKM angles extraction. The angle values are found to be $\alpha = (90.6\pm 6.6)^{\circ}$, $\sin(2\beta) = 0.68\pm 0.023$, and $\gamma=(72.2\pm…

High Energy Physics - Phenomenology · Physics 2019-08-13 Denis Derkach

We report on the initial measurements of the angle gamma and the sum of angles 2 beta + gamma of the Unitarity Triangle. When compared with indirect information on the value of gamma from other measurements of CKM parameters, the…

High Energy Physics - Experiment · Physics 2007-05-23 Justin Albert

Neutrino oscillation parameters can be understood in a better way by building a more complete picture of neutrino interactions. This poses a series of important theoretical and experimental challenges because of the elusive nature of…

High Energy Physics - Phenomenology · Physics 2023-06-13 Q. Gani , M. Hameeda

We briefly review some of the developments in the study of parton distributions which have occurred since DIS2000, including discussion of uncertainties, shadowing, unintegrated and generalized distributions.

High Energy Physics - Phenomenology · Physics 2015-06-25 A. D. Martin

The measurement of sin2beta by the BABAR experiment, where beta is one of the angles of the Unitarity Triangle, is described. Some prospects for the future of the measurement are also discussed.

High Energy Physics - Experiment · Physics 2007-05-23 James Weatherall

We study the estimation of a single parameter characterizing families of unitary transformations acting on two systems. We consider the situation with the presence of bottleneck, i.e. only one of the systems can be measured to gather…

Quantum Physics · Physics 2020-10-06 Milajiguli Rexiti , Stefano Mancini

We explore the uncertainty relation for unitary operators in a new way and find two uncertainty equalities for unitary operators, which are minimized by any pure states. Additionally, we derive two sets of uncertainty inequalities that…

Quantum Physics · Physics 2024-10-28 Ao-Xiang Liu , Ma-Cheng Yang , Cong-Feng Qiao

Nuclear charge radii constitute a physical observable of growing significance across multiple subdisciplines of physics and related fields. Their determination relies on a combination of complementary experimental techniques and advanced…

We investigate unification of two systems of identical elements having different dimensions which may be of interest for both physics and economics. Characteristic parameters as well as explicit formulae for the temperature (in economics -…

Statistical Finance · Quantitative Finance 2015-10-06 I. A. Molotkov , A. I. Osin

The Cabibbo-Kobayashi-Maskawa parameter $|V_{cb}|$ plays an important role among the experimental constraints of the Yukawa sector of the Standard Model. The present status of our knowledge will be summarized with particular emphasis to the…

High Energy Physics - Phenomenology · Physics 2009-11-10 Marina Artuso

We analyze the currently available observations of X-ray binaries in a consistent way, to re-determine the masses of the neutron stars in these systems. In particular, our attention is focussed on a realistic and consistent assessment of…

Astrophysics · Physics 2011-05-23 M. H. van Kerkwijk , J. van Paradijs , E. J. Zuiderwijk

In this contribution we discuss the future of the global long-baseline neutrino oscillation program. The case is made that our current lack of understanding of neutrino-nucleus interactions is a serious challenge which will need to be met…

High Energy Physics - Phenomenology · Physics 2016-12-16 Patrick Huber

This letter summarises the status of the global fit of the CKM parameters within the Standard Model performed by the CKMfitter group. Special attention is paid to the inputs for the CKM angles $\alpha$ and $\gamma$ and the status of…

A survey is given on the present knowledge of the polarized parton distribution functions. We give an outlook for further developments desired both on the theoretical as well on the experimental side to complete the understanding of the…

High Energy Physics - Phenomenology · Physics 2007-08-13 Johannes Blümlein

There are claims in the literature that in neutrino oscillations and oscillations of neutral kaons and B-mesons the oscillation phase differs from the standard one by a factor of two. We reconsider the arguments leading to this extra factor…

High Energy Physics - Phenomenology · Physics 2011-09-13 Samoil M. Bilenky , Walter Grimus , Thomas Schwetz