What Explains the Peculiarity of Quark Masses?

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Discussion Overview

The discussion revolves around the peculiarities of quark masses, particularly the observed disparities among different quark pairs. Participants explore whether fundamental theories, including the Standard Model and string theory, provide explanations for these mass differences, and the implications for future experimental insights.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants note that the Standard Model treats quark and lepton masses as free parameters, with no theoretical constraints provided for their values.
  • Others mention that attempts have been made to explain quark masses through more fundamental theories, but these remain speculative without positive evidence for physics beyond the Standard Model.
  • A participant suggests that quark masses can be calculated perturbatively using methods of chiral symmetry breaking, although this approach may not directly address the original question about mass peculiarities.
  • Another participant argues that calculating quark masses in this way merely shifts the question, as it depends on the masses of mesons and involves complex differential equations related to high-energy Grand Unified Theories (GUTs).

Areas of Agreement / Disagreement

Participants generally agree that quark masses are not well-explained by current fundamental theories and that many models remain speculative. However, there is no consensus on the effectiveness of various approaches to calculating or explaining these masses.

Contextual Notes

Some limitations include the dependence on experimental data for mass values, unresolved mathematical steps in proposed models, and the complexity of relating high-energy theories to observed particle masses.

mathman
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Is there anything in fundamental theory to explain the peculiarity of quark masses? The up and down have about the same mass, however for the other two pairs, there are big disparities, i.e. charm much bigger than strange and top much bigger than bottom.
 
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As far as I know, there is nothing in the SM that would constrain quark and lepton masses. They are treated as free parameters that need to be obtained from experiment (plus a renormalization scheme). Even in string theory, my understanding is that there is not much achieved in that direction; there, you need to find out which topology of the extra dimensions would reproduce the mass spectra of observed particles, which basically means that the masses need also be obtained from experiment.
 
All quark and lepton masses are free parameters in the Standard Model. There have certainly been many attempts to explain them with a more fundamental theory. People have constructed models that could explain various features of the observed particle spectrum, and some of those models are consistent with all known data, and hence could be true. However, since we have no positive evidence for physics beyond the Standard Model, this is all in the realm of speculation. The good news is that many models of this type are testable at the upcoming collider - the LHC. So, hopefully we'll soon have some more experimental insight into this question.
 
i'm a new comer

as far as i know, the masses of quarks can be calculated perturbatively by methods of chial symmetry breaking.:biggrin:
 
newwitten said:
as far as i know, the masses of quarks can be calculated perturbatively by methods of chial symmetry breaking.:biggrin:
Yep, but in function of the masses of mesons, so you just change the question. :cool:

Now, what is sad about all this mass stuff is that if the couplings of the elementary particles are confirmed to come down from hig energy GUT theories, then one needs a complicated differential equation to pinpoint precise values at working energies and one can even forget about the possibility of certain (ie of the order of experimental measure) prediction.
 

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