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Anatomy of a six-parameter fit to the b→ s ℓ +- anomalies

2018/11/30 by Bernat Capdevila, Ursula Laa, German Valencia +1 · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Computational Physics and Python Applications #Computer science #Context (archaeology) #Mathematics #Muon #Observable #Parameter space #Particle Detector Development and Performance #Particle physics #Particle physics theoretical and experimental studies #Physics #Physics beyond the Standard Model #Quantum mechanics #Sigma #Space (punctuation) #Statistical physics #Statistics #Theoretical physics #hep-ex #hep-ph #physics.data-an

paper · pdf · doi:10.1140/epjc/s10052-019-6944-8

39 pages, 14 figures, journal version, animations referenced in the text are available at https://uschilaa.github.io/animations/

openalex created_date 2018/12/11 · arxiv created 2019/05/16 · openalex publication_date 2019/06/01 · arxiv updated 2019/06/26 · openalex updated_date 2026/08/05

Abstract

Discrepancies between measurements of decay modes with an underlying quark level transition b→ s ℓ +- and standard model (SM) predictions have persisted for several years, particularly for the muon channels. The inadequacy of the SM becomes more compelling in a global fit. For example, Capdevila et al. (JHEP 01, 093. arXiv:1704.05340 , 2018) described 175 observables by six parameters encoding new physics and quantified the disagreement with the SM at about the 5σ level. While certain one and two parameter fits have previously been considered in detail, we establish a framework for the detailed discussion of the full 6d fit. We visualize and quantify the 6d 1σ region around the best fit point and define fit uncertainties for both current and future observables. We then define metrics quantifying the deviations between measurements and both SM and best fit predictions. These metrics relate observables to directions in parameter space, revealing their precise role in the fit, thus providing guidance for future theoretical and experimental work. Some metrics further quantify the role of correlated uncertainties, which turns out to be significant. For example the relevance of angular observables such as P5^′ is reduced in this context. Finally, studying the space of observables allows us to discuss the internal tensions in the fit.

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