The paper presents DsixTools, a Mathematica package designed for the analysis and handling of the Standard Model Effective Field Theory (SMEFT) at the dimension-six level. DsixTools is a modular toolkit that facilitates various calculations involving SMEFT and provides an interface for the Renormalization Group Evolution (RGE) of Wilson coefficients (WCs).
DsixTools comprises three main modules: SMEFTrunner, EWmatcher, and WETrunner, each performing specific tasks related to dimension-six effective operators. The SMEFTrunner module enables the full one-loop RGE of WCs in the Warsaw basis from a high-energy scale down to the electroweak (EW) scale. This evolution utilizes the complete one-loop anomalous dimension matrix (ADM) for dimension-six operators, which has been derived in previous literature. Next, the EWmatcher module allows for the matching of SMEFT WCs to the Weak Effective Theory (WET) operators, both primed and unprimed, at the EW scale, using results published by Aebischer et al. The WETrunner module extends the calculations to processes occurring below the EW scale, implementing QCD and QED RG running down to the b-quark mass scale.
Computational Infrastructure
One of the key advantages of DsixTools lies in its modular architecture, allowing for sequential or independent execution depending on the user's needs. Each module can produce output that serves as input to another module, facilitating comprehensive analyses across energy scales. The toolbox includes routines for initializing input parameters, running RGEs, biunitary transformation to the mass basis, and exporting results to formatted text files.
Implications for Particle Physics Research
DsixTools supports the systematic exploration of physics models using effective field theory methods, which are particularly useful when the mass gap between the Standard Model (SM) and new physics is significant. By providing tools for precision calculations of higher-order corrections to SM processes, DsixTools aids in the evaluation of potential deviations hinting at new physics. The toolkit simplifies complex computational tasks, accelerating theoretical research and enabling detailed phenotypical studies relevant to experimental data.
Future Prospects
The current scope of DsixTools, while comprehensive, offers potential for further expansion. Future developments may include additional modules and enhanced functionalities, broadening its applicability to more types of effective field theories or higher-dimensional operators. As experimental testings expand, DsixTools will become increasingly relevant to analyze deviations from SM predictions, thereby contributing significantly to the understanding of beyond-the-Standard-Model scenarios.
Conclusion
DsixTools stands out as a valuable resource for physicists working with effective field theories related to the Standard Model. Its detailed modules, organized framework, and rigorous basis for calculation establish it as a robust toolkit for theoretical investigations aiming at unveiling new physics. As the scientific community delves deeper into exploring potential extensions of the SM, tools such as DsixTools will remain indispensable for reliable and efficient analysis.