Answer
The mass of the Higgs boson is $~~2.21\times 10^{-25}~kg~~$ which is $~~132~~$ times the mass of a proton.
Work Step by Step
The energy of a photon is $E = pc$
The total energy of both photons is $E = 2pc$
The energy of the Higgs boson is $E = mc^2$
By equating the expressions for the energy, we can find the mass of the Higgs boson:
$mc^2 = 2pc$
$m = \frac{2p}{c}$
$m = \frac{(2)(3.31\times 10^{-17}~kg~m/s)}{3.0\times 10^8~m/s}$
$m = 2.21\times 10^{-25}~kg$
We can express the mass of the Higgs boson as a multiple of the proton mass:
$\frac{2.21\times 10^{-25}~kg}{1.67\times 10^{-27}~kg} = 132$
The mass of the Higgs boson is $~~2.21\times 10^{-25}~kg~~$ which is $~~132~~$ times the mass of a proton.