TY - JOUR

T1 - Angular momentum of zero-frequency gravitons

AU - Di Vecchia, Paolo

AU - Heissenberg, Carlo

AU - Russo, Rodolfo

PY - 2022/8/18

Y1 - 2022/8/18

N2 - By following closely Weinberg's soft theorem, which captures the 1/omega pole contribution to the amplitude for soft graviton emissions (omega < Lambda on top of an arbitrary background hard process, we calculate the expectation value of the graviton's angular momentum operator for arbitrary collisions dressed with soft radiation. We find that the result becomes independent of the cutoff Lambda on the graviton's frequency, effectively localizing at omega = 0. In this way, our result captures the contribution to the angular momentum that comes from the zero-frequency modes. Like the soft theorem, our formula has an exact dependence on the kinematics of the hard particles and is only a function of their momenta. As an example, we discuss in some detail the case of the 2 -> 2 scattering of spinless particles in General Relativity and N = 8 supergravity.

AB - By following closely Weinberg's soft theorem, which captures the 1/omega pole contribution to the amplitude for soft graviton emissions (omega < Lambda on top of an arbitrary background hard process, we calculate the expectation value of the graviton's angular momentum operator for arbitrary collisions dressed with soft radiation. We find that the result becomes independent of the cutoff Lambda on the graviton's frequency, effectively localizing at omega = 0. In this way, our result captures the contribution to the angular momentum that comes from the zero-frequency modes. Like the soft theorem, our formula has an exact dependence on the kinematics of the hard particles and is only a function of their momenta. As an example, we discuss in some detail the case of the 2 -> 2 scattering of spinless particles in General Relativity and N = 8 supergravity.

KW - Black Holes

KW - Classical Theories of Gravity

KW - Scattering Amplitudes

KW - Supergravity Models

KW - GRAVITATIONAL-WAVES

KW - BREMSSTRAHLUNG

KW - GENERATION

KW - DERIVATION

KW - PHOTONS

U2 - 10.1007/JHEP08(2022)172

DO - 10.1007/JHEP08(2022)172

M3 - Journal article

VL - 2022

JO - Journal of High Energy Physics (Online)

JF - Journal of High Energy Physics (Online)

SN - 1126-6708

IS - 8

M1 - 172

ER -