<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>T</mml:mi><mml:mover accent="true"><mml:mi>T</mml:mi><mml:mo stretchy="false">¯</mml:mo></mml:mover></mml:math> deformed soft theorem

In this paper, we derive a $T\bar{T}$ deformed soft graviton theorem in the context of celestial holography. As concrete example, it illustrates that two-dimensional irrelevant deformation can be applied to four-dimensional theory at level amplitudes. We argue has close relation loop-correction from amplitude side which could provide an alternative way construct ultraviolet complete quantum gravity.