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!