Can neutrino detectors measure energy?

smallphi
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Do the neutrino detectors measure only the number of events but not the energy of the detected neutrino?
 
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They can measure the energy transferred from the neutrino to the detector. This is related to the neutrino energy, but it is not the exact same thing.
 
I'm asking cause in the usual reports from neutrino detectors they always give the number of events fluxes, never the energy fluxes of the neutrinos.
 
The experiments that are working for high energy neutrino detection using an array of PMTs can give a rough estimation of neutrino energy. I think there is a relationship between the number of photons detected and the neutrino energy.
 
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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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