Do quarks temporarily lose mass when giving off gravitons?

[YoWazzup]

Imagine a quark, which has x mass. The quark gives off a graviton, which has y energy. My question is, before the graviton "snaps" back, would the quark lose mass equivalent to y energy?
That is,

x_new = x_old - y

Where
x_old is the mass of the quark,
x_new is the mass of the quark after giving off a graviton of y energy.

 

[Whovian]

No. You have apparently not studied the QM version of Conservation of Energy.

(Oh, and we're not sure Gravitons exist. Pretty much the same argument applies to Gluons, Photons, and W and Z bosons.

 

[YoWazzup]

I haven't studied it; I'm not even out of my freshman year of high school. But you did give me something I might learn in my pass time. Thanks!