151. New method for fitting coefficients in standard model effective theory
- Author
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Bodwin, Geoffrey T. and Chung, Hee Sok
- Subjects
High Energy Physics - Phenomenology - Abstract
We present an alternative method for carrying out a principal-component analysis of Wilson coefficients in standard model effective field theory (SMEFT). The method is based on singular-value decomposition (SVD). The SVD method provides information about the sensitivity of experimental observables to physics beyond the standard model that is not accessible in the Fisher-information method. In principle, the SVD method can also have computational advantages over diagonalization of the Fisher information matrix. We demonstrate the SVD method by applying it to the dimension-6 coefficients for the process of top-quark decay to a $b$ quark and a $W$ boson and use this example to illustrate some pitfalls in widely used fitting procedures. We also outline an iterative procedure for applying the SVD method to dimension-8 SMEFT coefficients., Comment: 27 pages, 3 tables, minor clarifications, corrections, improvements in notation. Corresponds to published version
- Published
- 2019
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