Abstract
wilson is a Python library for matching and running Wilson coefficients of higher-dimensional operators beyond the Standard Model. Provided with the numerical values of the Wilson coefficients at a high new physics scale, it automatically performs the renormalization group evolution within the Standard Model effective field theory (SMEFT), matching onto the weak effective theory (WET) at the electroweak scale, and QCD/QED renormalization group evolution below the electroweak scale down to hadronic scales relevant for low-energy precision tests. The matching and running encompasses the complete set of dimension-six operators in both SMEFT and WET. The program builds on the Wilson coefficient exchange format (WCxf) and can thus be easily combined with a number of existing public codes.
Highlights
While the effective field theory (EFT) approach to new physics has been ubiquitous in quark flavour physics – dealing with processes at energies of few GeV – for a long time already, the experimental indications that Λ lies well above the electroweak scale have led to the realization that this approach is valuable for processes of electroweak scale energies like Higgs physics or electroweak precision tests
Given the Standard Model effective field theory (SMEFT) Wilson coefficients at the UV scale Λ, it bridges the gap to the low-energy phenomenology in step 6., which is implemented in other public codes such as flavio [17]
The SMEFT running, matching, weak effective theory (WET) running, and conversion to the flavio basis used in the calculation of the observable is done behind the curtains by wilson
Summary
While the EFT approach to new physics has been ubiquitous in quark flavour physics – dealing with processes at energies of few GeV – for a long time already, the experimental indications that Λ lies well above the electroweak scale have led to the realization that this approach is valuable for processes of electroweak scale energies like Higgs physics or electroweak precision tests (see [8] and references therein). 1. Compute the SMEFT Wilson coefficients at Λ. 2. Perform the renormalization group (RG) evolution of the SMEFT Wilson coefficients down to the electroweak scale. 3. Match the complete set of SMEFT Wilson coefficients onto the WET. 4. Perform the RG evolution of WET Wilson coefficients. Given the SMEFT Wilson coefficients at the UV scale Λ, it bridges the gap to the low-energy phenomenology in step 6., which is implemented in other public codes such as flavio [17]. – The definition of a Wilson coefficient exchange format (WCxf) that allows to define EFTs, bases of Wilson coefficients, and facilitates exchanging numerical values of Wilson coefficients between different codes [21] It benefits from the following public physics codes:.
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