2025/02/03 by Maurizio Firrotta, Firrotta, Maurizio, Giancarlo Rossi +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics
paper · pdf · doi:10.48550/arxiv.2502.01233
openalex publication_date 2025/02/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We propose a strategy to compute the CKM matrix based on the conjecture, recently put forward in the literature, according to which elementary particle masses are not generated like in the standard Higgs scenario, but emerge from a non-perturbative mechanism triggered by the presence in the fundamental Lagrangian of ``irrelevant'' chiral breaking operators of the Wilson type of dimension d≥ 6 scaled by d-4 powers of the UV cutoff. Non-perturbatively generated quark masses have the form mq∼ Cq(α) ΛRGI where ΛRGI is the RGI scale of the theory and Cq(α) is a function of the gauge couplings. For the (elementary) fermion q the Cq(α) leading behaviour is Cq(α)=O(α1+(dq-4)/2). The dependence of the gauge coupling power behaviour from the dimension dq of the Wilson-like operators associated with the fermion q can be exploited to construct hierarchically organized up and down ''proto-mass matrices'' for ''proto-flavours'', the diagonalization of which yields flavoured quarks with definite masses and a first principle construction of the CKM matrix.