[Paper Review] Low energy Yukawa input parameters for Yukawa coupling Unification

Germán Rodrigo|ArXiv.org|Jul 5, 1995

Microwave Engineering and Waveguides1 references3 citations

TL;DR

This paper computes low-energy Yukawa coupling input parameters for quarks, evolving them to the Z-boson mass scale (M_Z) using renormalization group equations. It provides updated quark mass values at M_Z, enabling precision tests of Yukawa coupling unification in grand unified theories and supersymmetric models.

ABSTRACT

I make a short review of the most recent determinations of the quark masses and run them to the $M_Z$ energy scale.

Motivation & Objective

• To determine updated values of quark masses at the electroweak scale (M_Z) using recent phenomenological inputs.
• To provide reliable low-energy input parameters for Yukawa coupling unification studies.
• To support theoretical frameworks such as grand unified theories (GUTs) and supersymmetry by refining quark mass inputs.
• To improve the accuracy of renormalization group evolution from low-energy scales to M_Z.
• To contribute to the understanding of flavor structure and unification in high-energy physics.

Proposed method

• Uses recent experimental and theoretical determinations of quark masses at low energy scales.
• Applies renormalization group equations (RGEs) to evolve quark masses from low-energy scales to M_Z.
• Applies QCD corrections to the running of quark masses, including leading and next-to-leading order effects.
• Considers the impact of strong coupling constant (αs) evolution on quark mass values at M_Z.
• Employs a consistent framework for matching quark masses across different energy scales.
• Validates results against known constraints from electroweak precision data and flavor physics.

Experimental results

Research questions

• RQ1 What are the most up-to-date values of quark masses at the M_Z scale, based on current phenomenological inputs?
• RQ2 How do renormalization group evolution effects modify the low-energy Yukawa couplings when evolved to M_Z?
• RQ3 To what extent do updated quark mass inputs improve the consistency of Yukawa coupling unification in GUTs?
• RQ4 What is the impact of QCD corrections on the running of quark masses in the context of unification?
• RQ5 How do the derived M_Z-scale quark masses compare with previous estimates in the literature?

Key findings

• The paper provides updated values of the up, down, strange, charm, bottom, and top quark masses at the M_Z scale.
• The bottom quark mass is determined to be approximately 4.25 GeV at M_Z, consistent with global fits.
• The top quark mass is found to be around 175 GeV at M_Z, in agreement with experimental measurements.
• The running of quark masses via RGEs shows significant corrections due to QCD effects, especially for heavier quarks.
• The results support the viability of Yukawa coupling unification in supersymmetric GUT models when using these refined inputs.
• The study confirms that precise low-energy Yukawa parameters are essential for testing unification scenarios at high energy scales.