# File:Numasses.png

## Summary

Analytical lower bounds on \(M_1\) (circles) and \(T_{\rm i}\) (dotted line) for \(m_1 = 0\), \(\eta_B^{CMB} = 6\times 10^{-10}\) and \(\sqrt{\Delta m^2_{\rm atm}} = 0.05\,{\rm eV}\). The analytical results for \(M_1\) are compared with the numerical ones (solid lines). Upper and lower curves correspond to zero and thermal initial \(N_1\) abundance, respectively. The vertical dashed lines indicate the range (\(m_{\rm sol}\),\(m_{\rm atm}\)). The gray triangle at large \(M_1\) and large \(\mt\) is excluded by theoretical consistency. From Ref. (Buchmuller, 2004nz)

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current | 21:00, 9 January 2014 | 1,688 × 1,250 (35 KB) | Serguei A. Mokhov (Talk | contribs) | Analytical lower bounds on <math>M_1</math> (circles) and <math>T_{\rm i}</math> (dotted line) for <math>m_1 = 0</math>, <math>\eta_B^{CMB} = 6\times 10^{-10}</math> and <math>\sqrt{\Delta m^2_{\rm atm}} = 0.05\,{\rm eV}</math>. The analytical results f |

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