Title：Hawking Radiation for Proca field

Abstract: In this work, We have studied the 
greybody factor and Hawking spectrum for proca 
field, which has never been done before. First, 
We considered the neutral proca field propogate 
in the D-dimensional Schwarzschild spacetime. Due 
to introducing the mass term, the Equation of 
Motion(EOM) are a set of coupled Ordinary 
Differential Equations(ODEs). We have designed a 
numerical strategy to solve the coupled 
equations. Then using the same method, we also 
considered the the charged proca field propogate 
on the brane. In the both of the above cases, we 
have shown the effects of dimension, mass and 
charge on greybody factor and Hawking spectrum. 
Our work can be used to improve the balck hole 
event generators for phenomenological studies of 
TeV gravty scenarios.