- The paper introduces a Python package that automates one-loop running and matching of Wilson coefficients in SMEFT and WET frameworks.
- It employs the WCxf standard to enable seamless integration with public codes like flavio for computing experimental observables.
- The package bridges high-energy theoretical models with low-energy phenomenology, facilitating precise tests of new physics scenarios.
Overview of the Wilson Python Package for Running and Matching Wilson Coefficients
The paper introduces "Wilson," a Python package designed for the computational management of Wilson coefficients, crucial in exploring higher-dimensional operators beyond the Standard Model (SM). The package facilitates the numerical execution of specific tasks crucial for effective field theory (EFT) analyses, including running of Wilson coefficients within the Standard Model Effective Field Theory (SMEFT), matching onto the Weak Effective Theory (WET) at the electroweak scale, and the subsequent running of these coefficients through quantum chromodynamics (QCD) and quantum electrodynamics (QED) evolution down to hadronic scales pertinent to low-energy tests.
Key Features and Functionality
The Wilson package automates the complex process of running and matching Wilson coefficients, necessary for connecting predictions at the high-energy scales where new physics might manifest to low-energy observables. Specifically, the package supports:
- Renormalization Group Evolution in SMEFT and WET: Wilson offers one-loop evolution capabilities, which cover the entire set of dimension-six operators in both SMEFT and WET.
- Basis Translation and Matching: The package performs basis translations and integrates with existing frameworks via the Wilson coefficient exchange format (WCxf), ensuring compatibility with a variety of public codes.
- Public Code Integration: Leveraging the WCxf format, Wilson easily interfaces with other software tools, such as flavio, allowing seamless connections to the calculation of experimental observables.
Practical and Theoretical Implications
The Wilson package stands as a pivotal tool for theoretical physicists, enabling a more straightforward bridge between high-energy theoretical models and low-energy phenomenological predictions. It aids in deciphering the implications of proposed new physics scenarios by facilitating accurate low-energy predictions that can be compared against experimental results. Theoretical model builders can employ Wilson to assess the potential impacts of novel interactions and constraints, thereby refining their models accordingly.
Future Prospects
Although currently focused on one-loop calculations and tree-level matching, the package's architecture supports potential extensions to higher-loop processes and loop-level matching. The integration of these future enhancements would further bolster the package's utility in precision calculations in theoretical physics. As new theoretical frameworks emerge and experimental data becomes more precise, tools like Wilson will be indispensable for understanding the finer details of beyond-Standard-Model physics.
In conclusion, the Wilson package represents a significant contribution to the computational toolkit available to particle physicists, offering a robust and automatic solution to the intricate calculations involved in matching and running Wilson coefficients within the EFT framework. Its potential expansions make it a foundational tool for continued research in this evolving field.