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Fig. 1

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Fractional error δ = (Qfit − QnumKG07)/QnumKG07 for temperatures concerning low-mass RGB stars, where Qfit is the neutrino emissivity calculated with the H94 (red lines) or KG07 (blue lines) fitting formulae, and QnumKG07 is the neutrino emissivity calculated numerically by KG07. Vertical black lines indicate the log (ρ/μe) value in the center of three stars (Y = 0.245, and the labeled initial mass and metallicity) along their evolution through the RGB phase, when the center reaches the labeled temperature. In the panel for log T = 8, vertical lines indicate the density for the maximum temperature reached in the center (log T ~ 7.87). The log (ρ/μe) ranges are determined by the limits of the KG07 numerical values.

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