1998/02/23 by Thomas G. Rizzo · 1 citation
Mathematics · Physics and Astronomy · #Basis (linear algebra) #Geometry #Luminosity #Mathematical physics #Mathematics #Monte Carlo method #Neutrino Physics Research #Observable #Operator (biology) #Particle physics #Particle physics theoretical and experimental studies #Physics #Physics beyond the Standard Model #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Standard Model (mathematical formulation) #Statistical physics #Statistics #hep-ph
paper · pdf · doi:10.1103/physrevd.58.114014
published as Phys.Rev.D58:114014,1998 · 30 pages, 6 figures
arxiv created 1998/02/23 · openalex publication_date 1998/10/28 · arxiv updated 2014/11/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In the standard model and many of its extensions, it is well known that all of the observables associated with the rare decays \stackrel\ensuremath→bs\ensuremathγ and \stackrel\ensuremath→bsl+l^\ensuremath- can be expressed in terms of the three Wilson coefficients C7L,9L,10L(\ensuremathμ\ensuremath∼mb), together with several universal kinematic functions. In particular, it has been shown that the numerical values of these coefficients can be uniquely extracted by a three-parameter global fit to data obtainable at future B factories given sufficient integrated luminosity. In this paper we examine if such global fits are also sensitive to new operators beyond those which correspond to the above coefficients, i.e., whether it is possible that new operators can be of sufficient importance for the three-parameter fit to fail and for this to be experimentally observable. Using the left-right symmetric model as an example of a scenario with an extended operator basis, we demonstrate via Monte Carlo techniques that such a possibility can indeed be realized. In some sense this potential failure of the global fit approach can actually be one of its greatest successes in identifying the existence of new physics.