We present a new calibration of the peak absolute magnitude of SNe Type Ia
based on the Surface Brightness Fluctuations (SBF) method, aimed at measuring
the value of the Hubble constant. We build a sample of calibrating anchors
consisting of 24 SNe hosted in galaxies having SBF distance measurements.
Applying a hierarchical Bayesian approach, we calibrate the SNe luminosity and
extend it into the Hubble flow by using a sample of 96 SNe Ia in the redshift
range 0.02<z<0.075, extracted from the Combined Pantheon Sample. We
estimate a value of H0=70.50±2.37(stat)±3.38(sys) $\text{km}\
\text{s}^{-1}\ \text{Mpc}^{-1}(i.e.3.4\% stat, 4.8\% sys),whichisinagreementwiththevalueobtainedusingthetipoftheredgiantbranchcalibration,andconsistentwithintheerrorswiththevalueobtainedfromSNeTypeIacalibratedwithCepheidsandtheoneinferredfromtheanalysisofthecosmicmicrowavebackground.WefindthattheSNeIadistancemodulicalibratedwithSBFareonaveragelargerby0.07magthantheonescalibratedwithCepheids.OurresultspointtopossibledifferencesamongSNeindifferenttypesofgalaxies,whichcouldoriginatefromdifferentlocalenvironmentsand/orSNeIaprogenitorproperties.Samplingdifferenthostgalaxytype,SBFoffersacomplementaryapproachtoCepheidswhichisimportantinaddressingpossiblesystematics.AstheSBFmethodhastheabilitytoreachlargerdistancesthanCepheids,theimpendingentryofLSSTandJWSTintooperationwillincreasethenumberofSNeIahostedingalaxieswhereSBFdistancescanbemeasured,makingSBFmeasurementsattractiveforimprovingthecalibrationofSNeIa,andintheestimationofH_0$.Comment: 22 pages, 14 figures, 9 tables. Comments are very welcom