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Table 1

Parameters of the soft jet model used in this analysis.

Parameter Description Default value Parameter dependence

E j Total kinetic energy of ejected material 1051.5   erg
Γb Bulk Lorentz factor of the jet 3
d Distance of SN 2008D 27Mpc
B π Branching ratio for π ±  → μ ± νμ (K ±  → μ ± νμ) 1 (0.63)
 ⟨ n ⟩ π ( ⟨ n ⟩ K) Pion (kaon) multiplicity in pp collisions 1 (0.1)
E p,min mininmum proton energy 10GeV
E p,max maximum proton energy 7 × 104GeV
hadronic cooling break energy for pions (kaons) 30   GeV (200   GeV)
radiative cooling break energy for pions (kaons) 100GeV (20000   GeV)  ∝ Γb
maximum neutrino energy from pion (kaon) decay 10500GeV (21000GeV)  ∝ Γb

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