Table 1: Overview of neutrino-matter and neutrino-neutrino interactions included in our simulations. For each process, we provide reference(s) where more information can be found about physics and approximations employed in the rate calculations. The numerical implementation is described in detail in Rampp & Janka (2002) and Buras et al. (2003). The symbol $\nu $ represents any of the neutrinos $\ensuremath{\nu_{\rm e}} ,\bar{\nu}_{\rm e},\nu_\mu,\bar\nu_\mu,\nu_\tau,\bar\nu_\tau$, the symbols e-, e+, n, p, and A denote electrons, positrons, free neutrons and protons, and heavy nuclei, respectively. The symbol N means neutrons or protons.
Reaction     References
$\nu~{\rm e}^{\pm}$ $\rightleftharpoons$ $\nu~{\rm e}^{\pm}$ Mezzacappa & Bruenn (1993a)
      Cernohorsky (1994)
$\nu~A$ $\rightleftharpoons$ $\nu~A$ Horowitz (1997)
      Bruenn & Mezzacappa (1997)
$\nu~N$ $\rightleftharpoons$ $\nu~N$ Burrows & Sawyer (1998)
$\nu_{\rm e}~n$ $\rightleftharpoons$ ${\rm e}^-~p$ Burrows & Sawyer (1999)
$\bar{\nu}_{\rm e}~p$ $\rightleftharpoons$ ${\rm e}^+~n$ Burrows & Sawyer (1999)
$\nu_{\rm e}~A'$ $\rightleftharpoons$ ${\rm e}^-~A$ Bruenn (1985), Langanke et al. (2003)
      Mezzacappa & Bruenn (1993b)
$\nu~\bar{\nu}$ $\rightleftharpoons$ $\rm e^-~e^+ $ Bruenn (1985), Pons et al. (1998)
$\nu\bar{\nu}~NN$ $\rightleftharpoons$ NN Hannestad & Raffelt (1998)
$\nu_{\mu,\tau}\bar{\nu}_{\mu,\tau}$ $\rightleftharpoons$ $\nu_{\rm e}\bar{\nu}_{\rm e}$ Buras et al. (2003)
$\stackrel{(-)}{\nu}_{\mu,\tau}\stackrel{(-)}{\nu}_{\rm e}$ $\rightleftharpoons$ $\stackrel{(-)}{\nu}_{\mu,\tau}\stackrel{(-)}{\nu}_{\rm e}$ Buras et al. (2003)


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