OPUCEM: A Library with Error Checking Mechanism for Computing Oblique Parameters

TL;DR

OPUCEM is an open-source computational tool that calculates oblique parameters with integrated error-checking, enhancing reliability and reproducibility in electroweak physics research, demonstrated through studies of a hypothetical fourth Standard Model family.

Contribution

The paper introduces OPUCEM, a novel library combining formulas from various models with error-checking, promoting open-source scientific computation in electroweak precision analysis.

Findings

Validated OPUCEM with case studies on fourth Standard Model family.

Demonstrated improved reliability in oblique parameter calculations.

Provided open-source framework encouraging reproducibility.

Abstract

After a brief review of the electroweak radiative corrections to gauge-boson self-energies, otherwise known as the direct and oblique corrections, a tool for calculation of the oblique parameters is presented. This tool, named OPUCEM, brings together formulas from multiple physics models and provides an error-checking machinery to improve reliability of numerical results. It also sets a novel example for an "open-formula" concept, which is an attempt to improve the reliability and reproducibility of computations in scientific publications by encouraging the authors to open-source their numerical calculation programs. Finally, we demonstrate the use of OPUCEM in two detailed case studies related to the fourth Standard Model family. The first is a generic fourth family study to find relations between the parameters compatible with the EW precision data and the second is the particular study of the Flavor Democracy predictions for both Dirac and Majorana-type neutrinos.