  We investigate the detectability of massive mode of polarization of
Gravitational Waves (GWs) in f(R) theory of gravity associated with Gamma Ray
Bursts (GRBs) sources. We obtain the beam pattern function of Laser
Interferometric Gravitational wave Observatory (LIGO) corresponding to the
massive polarization of GWs and perform Bayesian analysis to study this
polarization. It is found that the massive polarization component with a mass
of 10^-22eV/c2 is too weak to be detected at LIGO with its current
configuration.
