Masses of fundamental particles

johncena
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How were the masses of fundamental particles(electrons,protons,neutrons) determined?
 
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Each is a long story of it's own...

Start with the Electron:-
Google the names JJ Thompson and Robert Millikan
 
experimentally. we have no theory which describes their masses. They are inputs to the standard model of particle physics...not derived from it. (only because we are not smart enough yet.)
 

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I'm following this paper by Kitaev on SL(2,R) representations and I'm having a problem in the normalization of the continuous eigenfunctions (eqs. (67)-(70)), which satisfy \langle f_s | f_{s'} \rangle = \int_{0}^{1} \frac{2}{(1-u)^2} f_s(u)^* f_{s'}(u) \, du. \tag{67} The singular contribution of the integral arises at the endpoint u=1 of the integral, and in the limit u \to 1, the function f_s(u) takes on the form f_s(u) \approx a_s (1-u)^{1/2 + i s} + a_s^* (1-u)^{1/2 - i s}. \tag{70}...
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