Test black holes, Amplitudes, and perturbations of Kerr Justin - PowerPoint PPT Presentation

Test black holes, Amplitudes, and perturbations of Kerr Justin Vines Max Planck Institute for Gravitational Physics (AEI) Potsdam QCD meets Gravity 2019 Bhaumik Institute, UCLA, December 10 Justin Vines Max Planck Institute for Gravitational Physics (AEI) Potsdam Test black holes, Amplitudes, and perturbations of Kerr

Interacting mass monopoles Amplitudes for massive scalars in classical general relativity exchanging gravitons − → + + + . . . “ � → 0 ” − → (e.g. nonspinning black holes) Justin Vines Max Planck Institute for Gravitational Physics (AEI) Potsdam Test black holes, Amplitudes, and perturbations of Kerr

Interacting mass monopoles Amplitudes for massive scalars in classical general relativity exchanging gravitons − → + + + . . . “ � → 0 ” − → ...to 2-loops! [to O ( G 3 ) ]: Bern, Cheung, Roiban, Shen, Solon, Zeng 1901.,1906. (e.g. nonspinning black holes) Justin Vines Max Planck Institute for Gravitational Physics (AEI) Potsdam Test black holes, Amplitudes, and perturbations of Kerr

Interacting mass monopoles Amplitudes for massive scalars in classical general relativity exchanging gravitons − → + + + . . . “ � → 0 ” − → ...to 2-loops! [to O ( G 3 ) ]: Bern, Cheung, Roiban, Shen, Solon, Zeng 1901.,1906. (e.g. nonspinning black holes) Interacting spinning black holes Amplitudes for ( minimally in classical GR − → coupled ) massive spin- s particles exchanging gravitons “ � → 0 while Guevara, JV, Steinhoff, Buonanno, Ochirov, Chung, Huang, Kim, Lee, s → ∞ ” Maybee, O’Connell, Arkani-Hamed, − → Siemonsen ++ ’17–’19 Justin Vines Max Planck Institute for Gravitational Physics (AEI) Potsdam Test black holes, Amplitudes, and perturbations of Kerr

Interacting mass monopoles Amplitudes for massive scalars in classical general relativity exchanging gravitons − → + + + . . . “ � → 0 ” − → ...to 2-loops! [to O ( G 3 ) ]: Bern, Cheung, Roiban, Shen, Solon, Zeng 1901.,1906. (e.g. nonspinning black holes) Interacting spinning black holes ← − ? Amplitudes for ( minimally in classical GR − → coupled ) massive spin- s particles exchanging gravitons “ � → 0 while Guevara, JV, Steinhoff, Buonanno, Ochirov, Chung, Huang, Kim, Lee, s → ∞ ” Maybee, O’Connell, Arkani-Hamed, − → Siemonsen ++ ’17–’19 ? ← − Justin Vines Max Planck Institute for Gravitational Physics (AEI) Potsdam Test black holes, Amplitudes, and perturbations of Kerr

Interacting mass monopoles Amplitudes for massive scalars in classical general relativity exchanging gravitons − → + + + . . . “ � → 0 ” − → ...to 2-loops! [to O ( G 3 S 0 ) ]: Bern, Cheung, Roiban, Shen, Solon, Zeng 1901.,1906. (e.g. nonspinning black holes) Interacting spinning black holes ← − ? Amplitudes for ( minimally in classical GR − → coupled ) massive spin- s G 1 S ∞ (tree, all spins) generic � + particles exchanging gravitons “ � → 0 G 2 S 1 (1-loop, spin-orbit) generic � while Guevara, JV, Steinhoff, Buonanno, Bini-Damour + Ochirov, Chung, Huang, Kim, Lee, s → ∞ ” G 2 S ≥ 2 generic X Maybee, O’Connell, Arkani-Hamed, G 2 S 2 , 3 , 4 aligned ? � ? − → Siemonsen ++ ’17–’19 ? ← G 3 S ≥ 1 X − G 2 S ≥ 5 ? X ? Justin Vines Max Planck Institute for Gravitational Physics (AEI) Potsdam Test black holes, Amplitudes, and perturbations of Kerr

Quantum spin and spinning black holes A key observation (at leading PN orders) from Vaidya 1410.: for minimally coupled massive spin- s particles exchanging gravitons, Justin Vines Max Planck Institute for Gravitational Physics (AEI) Potsdam Test black holes, Amplitudes, and perturbations of Kerr

Quantum spin and spinning black holes A key observation (at leading PN orders) from Vaidya 1410.: for minimally coupled massive spin- s particles exchanging gravitons, spin-0 — (universal) monopole coupling Justin Vines Max Planck Institute for Gravitational Physics (AEI) Potsdam Test black holes, Amplitudes, and perturbations of Kerr

Quantum spin and spinning black holes A key observation (at leading PN orders) from Vaidya 1410.: for minimally coupled massive spin- s particles exchanging gravitons, spin-0 — (universal) monopole coupling spin- 1 — adds (universal) dipole/spin-orbit coupling 2 Justin Vines Max Planck Institute for Gravitational Physics (AEI) Potsdam Test black holes, Amplitudes, and perturbations of Kerr

Quantum spin and spinning black holes A key observation (at leading PN orders) from Vaidya 1410.: for minimally coupled massive spin- s particles exchanging gravitons, spin-0 — (universal) monopole coupling spin- 1 — adds (universal) dipole/spin-orbit coupling 2 adds black-hole quadrupole ∝ spin 2 coupling spin-1 — Justin Vines Max Planck Institute for Gravitational Physics (AEI) Potsdam Test black holes, Amplitudes, and perturbations of Kerr

Quantum spin and spinning black holes A key observation (at leading PN orders) from Vaidya 1410.: for minimally coupled massive spin- s particles exchanging gravitons, spin-0 — (universal) monopole coupling spin- 1 — adds (universal) dipole/spin-orbit coupling 2 adds black-hole quadrupole ∝ spin 2 coupling spin-1 — adds BH (octupole ∝ S 3 and) hexadecapole ∝ S 4 spin-2 — Justin Vines Max Planck Institute for Gravitational Physics (AEI) Potsdam Test black holes, Amplitudes, and perturbations of Kerr

Quantum spin and spinning black holes A key observation (at leading PN orders) from Vaidya 1410.: for minimally coupled massive spin- s particles exchanging gravitons, spin-0 — (universal) monopole coupling spin- 1 — adds (universal) dipole/spin-orbit coupling 2 adds black-hole quadrupole ∝ spin 2 coupling spin-1 — adds BH (octupole ∝ S 3 and) hexadecapole ∝ S 4 spin-2 — i S � ℓ � � � obtain the complete BH multipole series I ℓ + i J ℓ = m as s → ∞ ? m Justin Vines Max Planck Institute for Gravitational Physics (AEI) Potsdam Test black holes, Amplitudes, and perturbations of Kerr

Quantum spin and spinning black holes A key observation (at leading PN orders) from Vaidya 1410.: for minimally coupled massive spin- s particles exchanging gravitons, spin-0 — (universal) monopole coupling spin- 1 — adds (universal) dipole/spin-orbit coupling 2 adds black-hole quadrupole ∝ spin 2 coupling spin-1 — adds BH (octupole ∝ S 3 and) hexadecapole ∝ S 4 spin-2 — i S � ℓ � � � obtain the complete BH multipole series I ℓ + i J ℓ = m as s → ∞ ? m “Minimally coupled” “amplitudes for all masses and spins” using massive spinor-helicity, Arkani-Hamed, Huang, Huang (AHH) 1709.: “3-point”: for any s , “Compton”: for s ≤ 2 . Justin Vines Max Planck Institute for Gravitational Physics (AEI) Potsdam Test black holes, Amplitudes, and perturbations of Kerr

Quantum spin and spinning black holes A key observation (at leading PN orders) from Vaidya 1410.: for minimally coupled massive spin- s particles exchanging gravitons, spin-0 — (universal) monopole coupling spin- 1 — adds (universal) dipole/spin-orbit coupling 2 adds black-hole quadrupole ∝ spin 2 coupling spin-1 — adds BH (octupole ∝ S 3 and) hexadecapole ∝ S 4 spin-2 — i S � ℓ � � � obtain the complete BH multipole series I ℓ + i J ℓ = m as s → ∞ ? m “Minimally coupled” “amplitudes for all masses and spins” using massive spinor-helicity, Arkani-Hamed, Huang, Huang (AHH) 1709.: “3-point”: for any s , “Compton”: for s ≤ 2 . + O ( G 3 ) . Guevara 1706.: = + + Justin Vines Max Planck Institute for Gravitational Physics (AEI) Potsdam Test black holes, Amplitudes, and perturbations of Kerr

Amplitudes for massive spin- s particles and gravitons p ′ p ′ a b + O ( G 3 ) = + + p a p b m a , s a m b , s b “Minimal coupling” (high-energy limit) [AHH ↓ ] [Guevara ↑ ] 1 � 2 � � 12 � � 2 s 1 � � ζ | p 1 | 3] 3 + = , for any s, m P � ζ 3 � m 2 Justin Vines Max Planck Institute for Gravitational Physics (AEI) Potsdam Test black holes, Amplitudes, and perturbations of Kerr

Amplitudes for massive spin- s particles and gravitons p ′ p ′ a b + O ( G 3 ) = + + p a p b m a , s a m b , s b “Minimal coupling” (high-energy limit) [AHH ↓ ] [Guevara ↑ ] 1 � 2 � � 12 � � 2 s 1 � � ζ | p 1 | 3] 3 + = , for any s, m P � ζ 3 � m 2 3 − 4 � 2 s −� 3 | p 1 | 2] 4 � � 4 3 � [ 1 2] + � 1 3 � [ 4 2] = . m 2 P t ( s − m 2 )( u − m 2 ) � 3 | p 1 | 2] 2 + for s ≤ 2 1 Justin Vines Max Planck Institute for Gravitational Physics (AEI) Potsdam Test black holes, Amplitudes, and perturbations of Kerr

Amplitudes for massive spin- s particles and gravitons p ′ p ′ a b + O ( G 3 ) = + + p a p b m a , s a m b , s b “Minimal coupling” (high-energy limit) [AHH ↓ ] [Guevara ↑ ] 1 � 2 � � 12 � � 2 s 1 � � ζ | p 1 | 3] 3 + = , for any s, m P � ζ 3 � m 2 3 − 4 � 2 s −� 3 | p 1 | 2] 4 � � 4 3 � [ 1 2] + � 1 3 � [ 4 2] = . m 2 P t ( s − m 2 )( u − m 2 ) � 3 | p 1 | 2] 2 + for s ≤ 2 [ s > 2? : Chung, Huang, Kim, Lee ] 1 Justin Vines Max Planck Institute for Gravitational Physics (AEI) Potsdam Test black holes, Amplitudes, and perturbations of Kerr