Soft-collinear gravity beyond the leading power

We construct "soft-collinear gravity", the effective field theory which describes interaction of collinear and soft gravitons with matter (and themselves), to all orders in soft-collinear power expansion. Despite absence divergences gravity at leading power, construction exhibits remarkable similarities QCD (gauge fields). It reveals an emergent background gauge symmetry, allows for a manifestly gauge-invariant representation interactions terms covariant derivative, Riemann tensor, generalisation light-cone metric field. The symmetries control both unsuppressed components inherent inhomogeneity $\lambda$ invariant objects orders, resulting consistent