Predictive empirical mass formula for up and down quarks of three generations

Wojciech Krolikowski

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arXiv · 1011.1120

Predictive empirical mass formula for up and down quarks of three generations

Wojciech Krolikowski

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Abstract

The starting point in this note is the charged-lepton mass formula successfully predicting the figure m_τ= 1776.80 MeV for τ-lepton mass versus its recent experimental value m_τ= 1776.82 \pm 0.16 MeV. There, two experimental masses m_e and m_μare the only input. This two-parameter empirical mass formula is extended to a pair of three-parameter empirical mass formulae for up and down quarks of three generations where, subsequently, a third pair of its free parameters is conjectured to be specified in a suggestive way, being replaced by one free parameter. Then, the new quark mass formulae predict one quark mass m_s = 101 MeV versus its experimental value m_s = 101^{+29}_{-21} MeV. Here, five experimental masses m_u, m_c, m_t and m_d, m_b (their central values, for simplicity) are the only input.

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Wojciech Krolikowski. 2010-11-04. Predictive empirical mass formula for up and down quarks of three generations. https://arxiv.org/abs/1011.1120

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