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When CP asymmetries in $B^0(t)\to \pi^+ \pi^-$ are combined using broken flavor SU(3) with decay rates for $B^+\to K^0\pi^+$ and/or $B^0\to K^+\pi^-$, one can obtain stringent limits on the weak phase $\gamma$ which are consistent with…

High Energy Physics - Phenomenology · Physics 2008-11-26 Michael Gronau , Jonathan L. Rosner

Measurement uncertainty and experimental error are important concepts taught in undergraduate physics laboratories. Although student ideas about error and uncertainty in introductory classical mechanics lab experiments have been studied…

Physics Education · Physics 2021-09-20 Emily M. Stump , Courtney L. White , Gina Passante , N. G. Holmes

Systematic uncertainties in high energy physics and astrophysics are often significant contributions to the overall uncertainty in a measurement, in many cases being comparable to the statistical uncertainties. However, consistent…

High Energy Physics - Experiment · Physics 2025-10-29 Pekka K. Sinervo , C. M

Quantum mechanics predicts that measurements of incompatible observables carry a minimum uncertainty which is independent of technical deficiencies of the measurement apparatus or incomplete knowledge of the state of the system. Nothing yet…

Quantum Physics · Physics 2013-06-14 Davide Girolami , Tommaso Tufarelli , Gerardo Adesso

Anomalies drive scientific discovery -- they are associated with the cutting edge of the research frontier, and thus typically exploit data in the low signal-to-noise regime. In astronomy, the prevalence of systematics --- both "known…

Cosmology and Nongalactic Astrophysics · Physics 2014-10-16 Hiranya V. Peiris

This article explores various uncertain control co-design (UCCD) problem formulations. While previous work offers formulations that are method-dependent and limited to only a handful of uncertainties (often from one discipline), effective…

Systems and Control · Electrical Eng. & Systems 2023-07-21 Saeed Azad , Daniel R. Herber

Molecular dynamics simulation is now a widespread approach for understanding complex systems on the atomistic scale. It finds applications from physics and chemistry to engineering, life and medical science. In the last decade, the approach…

Computational Physics · Physics 2021-04-28 Shunzhou Wan , Robert C. Sinclair , Peter V. Coveney

When you measure an observable, A, in Quantum Mechanics, the state of the system changes. This, in turn, affects the quantum-mechanical uncertainty in some non-commuting observable, B. The standard Uncertainty Relation puts a lower bound on…

Quantum Physics · Physics 2015-06-12 Jacques Distler , Sonia Paban

Using the most recent determinations of several theoretical and experimental parameters, we update the Unitarity Triangle analysis in the Standard Model. The basic experimental constraints come from the measurements of epsilon_k, Vub/Vcb…

High Energy Physics - Phenomenology · Physics 2007-05-23 UTfit Collaboration , M. Bona , M. Ciuchini , E. Franco , V. Lubicz , G. Martinelli , F. Parodi , M. Pierini , P. Roudeau , C. Schiavi , L. Silvestrini , A. Stocchi

In Bayesian inference, an unknown measurement uncertainty is often quantified in terms of a Gamma distributed precision parameter, which is impractical when prior information on the standard deviation of the measurement uncertainty shall be…

Methodology · Statistics 2021-01-19 Manuel M. Eichenlaub

We present a short review of the measurements of the CKM angle gamma performed by the babar experiment. We focus on methods using charged B decays, which give a direct access to gamma and provide the best constraints so far.

High Energy Physics - Experiment · Physics 2007-10-01 BaBaR Collaboration , Emmanuel Latour

After reviewing techniques for extracting clean information on CP-violating phase angles from $B$ decays, we explain the rules for finding decay modes that can probe the phase angle $\gamma$ of the unitarity triangle. We identify the more…

High Energy Physics - Phenomenology · Physics 2009-09-25 R. Aleksan , B. Kayser , D. London

In the present paper we review recent experimental results from the BaBar experiment concerning the measurement of the CKM angles. A particular highlight is given to the novel independent determination of the angle alpha from B0 ->…

High Energy Physics - Experiment · Physics 2015-05-27 Pietro Biassoni

Although a system is described by a well-known set of equations leading to a deterministic behavior, in the real world the value of a measurand obtained by an experiment will mostly scatter. Accordingly, an uncertainty is associated with…

Data Analysis, Statistics and Probability · Physics 2019-06-24 Markus Schiebl

Several time-independent methods have been devised for measuring the phase gamma of the Cabibbo-Kobayashi-Maskawa unitarity triangle. It is shown that such measurements generally suffer from discrete ambiguity which is at least 8-fold, not…

High Energy Physics - Phenomenology · Physics 2010-11-23 Abner Soffer

The CKM angle $\gamma$ is important for testing the unitarity of the CKM matrix and searching for new physics. $\gamma$ can be extracted by the interference between $b\to u$ and $b\to c$ in the B factory such as LHCb and Belle-II.…

High Energy Physics - Experiment · Physics 2024-04-24 Xiaokang Zhou

Judging the significance and reproducibility of quantitative research requires a good understanding of relevant uncertainties, but it is often unclear how well these have been evaluated and what they imply. Reported scientific uncertainties…

Applications · Statistics 2017-01-20 David C. Bailey

The constrained gradient method (CGM) has recently been proposed to solve convex optimization and monotone variational inequality (VI) problems with general functional constraints. While existing literature has established convergence…

Optimization and Control · Mathematics 2025-11-24 Danqing Zhou , Hongmei Chen , Shiqian Ma , Junfeng Yang

The uncertainty of Compton backscattering process is studied by virtue of analytical formulas, and the special effects of variant energy spread and energy drift on the systematic uncertainty estimation are also studied with Monte Carlo…

High Energy Physics - Phenomenology · Physics 2013-12-13 X. H. Mo

Statistical learning algorithms provide a generally-applicable framework to sidestep time-consuming experiments, or accurate physics-based modeling, but they introduce a further source of error on top of the intrinsic limitations of the…

Chemical Physics · Physics 2024-05-17 Matthias Kellner , Michele Ceriotti