High precision fundamental constants at the TeV scale

TL;DR

The report addresses the challenge of establishing high-precision fundamental constants at the TeV scale, with $α_s$ and the top-quark mass $m_t$ identified as the key parameters limiting predictive accuracy in the Standard Model. It reviews the current status of $α_s$ determinations and their impact on $LHC$ cross sections and precision SM tests, and it outlines directions for future research to improve both theory and measurements. Grounded in the MITP 2014 program, the discussion highlights how diverse extraction methods for $α_s$ and improved determinations of $m_t$ can reduce uncertainties and sharpen collider phenomenology. The overall contribution is a roadmap to enhance the interpretation of high-energy data in terms of SM tests and potential new physics.

Abstract

This report summarizes the proceedings of the 2014 Mainz Institute for Theoretical Physics (MITP) scientific program on "High precision fundamental constants at the TeV scale". The two outstanding parameters in the Standard Model dealt with during the MITP scientific program are the strong coupling constant $α_s$ and the top-quark mass $m_t$. Lacking knowledge on the value of those fundamental constants is often the limiting factor in the accuracy of theoretical predictions. The current status on $α_s$ and $m_t$ has been reviewed and directions for future research have been identified.