New method for fitting coefficients in standard model effective theory

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.

arXiv comment27 pages, 3 tables, minor clarifications, corrections, improvements in notation. Corresponds to published version

References in corpus (30)

• The NumPy array: a structure for efficient numerical computation
• Dimension-Six Terms in the Standard Model Lagrangian
• The Strongly-Interacting Light Higgs
• Updated Global SMEFT Fit to Higgs, Diboson and Electroweak Data
• Effective Theory Analysis of Precision Electroweak Data
• A Monte Carlo global analysis of the Standard Model Effective Field Theory: the top quark sector
• Complete Higgs Sector Constraints on Dimension-6 Operators
• Towards the Ultimate SM Fit to Close in on Higgs Physics
• O new physics, where art thou? A global search in the top sector
• Constraining the top-Higgs sector of the Standard Model Effective Field Theory
• Model-independent precision constraints on dimension-6 operators
• A Global Likelihood for Precision Constraints and Flavour Anomalies
• Constraining top quark effective theory in the LHC Run II era
• The Gauge-Higgs Legacy of the LHC Run II
• Feynman Rules for the Standard Model Effective Field Theory in $R_{\xi }$-gauges
• Current and future constraints on Higgs couplings in the nonlinear Effective Theory
• Electroweak Sector Under Scrutiny: A Combined Analysis of LHC and Electroweak Precision Data
• Consistent constraints on the Standard Model Effective Field Theory
• Electroweak and QCD Corrections to $Z$ and $W$ pole observables in the SMEFT
• Better Higgs-CP Tests Through Information Geometry
• Scheming in the SMEFT... and a reparameterization invariance!
• Electroweak Effective Operators and Higgs Physics
• Interpreting top-quark LHC measurements in the standard-model effective field theory
• Effective field theory approach to top-quark decay at next-to-leading order in QCD
• Incorporating doubly resonant $W^{\pm }$ data in a global fit of SMEFT parameters to lift flat directions
• Longitudinal, transverse-plus and transverse-minus W-bosons in unpolarized top quark decays at O(alpha_s)
• Measurement of the W boson helicity fractions in the decays of top quark pairs to lepton + jets final states produced in pp collisions at sqrt(s) = 8 TeV
• Top quark decay at next-to-leading order in the Standard Model Effective Field Theory
• Precision Electroweak Analysis after the Higgs Boson Discovery
• Implementation of Maxwell's equations in the reconstruction of the magnetic field in the $g-2$ storage ring

Cited by in corpus (2)

• Combined SMEFT interpretation of Higgs, diboson, and top quark data from the LHC
• Use and reuse of SMEFT