Table 4
Final virial BH mass estimators.
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| Variables | All (f0 = 4.31) | CB (f0 = 4.31) | PB (f0 = 4.31) | ||||||||
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| LX | FWHM | a | ba | a | ba | a | ba | ||||
| (1) | (2) | (3) | (4) | (5) | (6) | (7) | (8) | ||||
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| a1 ) | L2−10 keV | Hα (or Paα, Paβ, He i) | 8.03 ± 0.01 | 1 | 8.08 ± 0.02 | 1 | 7.91 ± 0.03 | 1 | |||
| a2 ) | L2−10 keV | Hβ | 7.88 ± 0.03 | 1 | 7.93 ± 0.03 | 1 | 7.76 ± 0.04 | 1 | |||
| a3 ) | L14−195 keV | Hα (or Paα, Paβ, He i) | 7.75 ± 0.01 | 1 | 7.79 ± 0.02 | 1 | 7.63 ± 0.03 | 1 | |||
| a4 ) | L14−195 keV | Hβ | 7.60 ± 0.03 | 1 | 7.65 ± 0.03 | 1 | 7.48 ± 0.04 | 1 | |||
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| Variables | Allb | CB (f0 = 6.3) | PB (f0 = 3.2) | ||||||||
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| LX | FWHM | a | b | a | ba | a | ba | ||||
| b1 ) | L2−10 keV | Hα (or Paα, Paβ, He i) | 8.19 ± 0.02 | 1.38 ± 0.03 | 8.25 ± 0.02 | 1 | 7.78 ± 0.02 | 1 | |||
| b2 ) | L 2−10 keV | Hβ | 7.98 ± 0.04 | 1.38 ± 0.03 | 8.10 ± 0.03 | 1 | 7.63 ± 0.04 | 1 | |||
| b3 ) | L14−195 keV | Hα (or Paα, Paβ, He i) | 7.80 ± 0.02 | 1.38 ± 0.03 | 7.96 ± 0.02 | 1 | 7.50 ± 0.03 | 1 | |||
| b4 ) | L14−195 keV | Hβ | 7.59 ± 0.04 | 1.38 ± 0.03 | 7.81 ± 0.03 | 1 | 7.35 ± 0.04 | 1 | |||
Notes. Parameters to be used in the virial relation described in the top part of this table. The resulting BH mass values can be converted assuming other virial factor f using the additional term log (f/f0). The assumed f0 in each sample is also reported. All the above virial calibrations have an intrinsic spread of ~0.5 dex that should be taken into account when evaluating the accuracy of the BH mass estimates (see Table 3). Columns are (1) the hard X-ray luminosity; (2) the FWHM, both variables needed to compute the VP; and (3) to (8) the zero points a and the slopes b of each sample.
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