The long γ-ray burst rate and the correlation with host galaxy properties

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Table 4

Summary of model parameters used in Eq. (11).

Parameter	Value or range	Step size	Fixed

η_coll	3.8 × 10^-3	...	y
η_time	0.14 (1)	...	y
η_X − ray	0.57 ^a	...	y
η_redshift	const.^b	...	y
ΔΩ	0.077	...	y
ΔT	3.5	...	y
M_BH/M_⊙	30.0	...	y
M_min/M_⊙	0.1	...	y
M_max/M_⊙	100	...	y
(ℳ₁,ℳ₂)	...(7 + Δℳ,12 − Δℳ)	0.05	n
ϵ_L/Z_⊙	0.1–1.8	0.05	n
δ	0–2.9	0.1	n
η_other	...	...	n

Notes.

^(a)

Product of fraction of GRBs followed by XRT (2) and number of GRBs with an X-ray afterglow (3).

^(b)

Calculated based on the sample used, i.e., sub-sample size/full-sample size.

References. (1) Greiner et al. (2011a); (2) http://heasarc.nasa.gov/docs/swift/archive/grb_table/stats/; (3) http://www.mpe.mpg.de/~jcg/grbgen.html

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