We provide evidence that the classical scattering of two spinning black holes is controlled by soft expansion exchanged gravitons. show how an exponentiation Cachazo-Strominger factors, acting on massive higher-spin amplitudes, can be used to find spin contributions aligned-spin angle, conjecturally extending previously known results higher orders in at one-loop order. The extraction limit accomplished via on-shell leading-singularity method and using spinor-helicity variables. three-point...

We study the link between classical scattering of spinning black holes and quantum amplitudes for massive spin-$s$ particles. Generic spin orientations are considered, allowing their spins to be deflected on par with momenta. rederive spin-exponentiated structure relevant tree-level amplitude from minimal coupling Einstein's gravity, which in $s\ensuremath{\rightarrow}\ensuremath{\infty}$ limit generates holes' complete series spin-induced multipoles. The resulting function is seen encode a...

All 4D gauge and gravitational theories in asymptotically flat spacetimes contain an infinite number of non-trivial symmetries. They can be succinctly characterized by generalized 2D currents acting on the celestial sphere. A complete classification these symmetries their algebras is open problem. Here we construct two towers such from positive-helicity photons, gluons, or gravitons with integer conformal weights. These generate associated to tower conformally soft theorems. The current...

A bstract We provide universal expressions for the classical piece of amplitude given by graviton/photon exchange between massive particles arbitrary spin, at both tree and one loop level. In gravitational case this leads to higher order terms in post-Newtonian expansion, which have been previously used binary inspiral problem. The are obtained a contour integral that computes Leading Singularity, was recently shown encode relevant information up loop. limit is performed along holomorphic...

A bstract The scattering of massless waves helicity $$ \mid h\mid =0,\frac{1}{2},1 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mo>∣</mml:mo> <mml:mi>h</mml:mi> <mml:mo>=</mml:mo> <mml:mn>0</mml:mn> <mml:mo>,</mml:mo> <mml:mfrac> <mml:mn>1</mml:mn> <mml:mn>2</mml:mn> </mml:mfrac> </mml:math> in Schwarzschild and Kerr backgrounds is revisited the long-wavelength regime. Using a novel description such terms gravitating massive particles, we compute classical wave 2 → QFT...

A bstract We continue to investigate correspondences between, on the one hand, scattering amplitudes for massive higher-spin particles and gravitons in appropriate quantum-to-classical limits, other classical gravitational interactions of spinning black holes according general relativity. first construct an ansatz a Compton amplitude, at tree level, constrained only by locality, crossing symmetry, unitarity consistency with linearized-Kerr 3-point all orders hole’s spin. then explore extent...

A bstract We show that the Newman-Janis shift property of exact Kerr solution can be interpreted in terms a worldsheet effective action. This holds both gravity, and for single-copy $$ \sqrt{\mathrm{Kerr}} <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msqrt> <mml:mtext>Kerr</mml:mtext> </mml:msqrt> </mml:math> electrodynamics. At level equations motion, we also leading interactions black hole. These are conveniently described using chiral classical motion with help...

A bstract In this work we propose to use leading singularities obtain the classical pieces of amplitudes two massive particles whose only interaction is gravitational. Leading are generalizations unitarity cuts. At one-loop find that obtained by multiple discontinuities in t-channel contain all information. As main example, show how a compact formula for fully relativistic contribution scattering with different masses. The non-relativistic limit singularity agrees known results...

A bstract We explore various tree-level double copy constructions for amplitudes including massive particles with spin. By working in general dimensions, we use that spins s ≤ 2 are fundamental to argue the corresponding relations partially follow from compactification of their massless counterparts. This origin fixes coupling gluons, dilatons and axions matter a characteristic way (for instance fixing gyromagnetic ratio), whereas graviton couples universally reflecting equivalence...

We introduce a natural generalization of the scattering equations, which connect space Mandelstam invariants to that points on ${\mathbb{CP}^1}$, higher-dimensional projective spaces $\mathbb{CP}^{k-1}$. The standard, $k=2$ invariants, $s_{ab}$, are generalized completely symmetric tensors $\textsf{s}_{a_1a_2\ldots a_k}$ subject `massless' condition $\textsf{s}_{a_1a_2\cdots a_{k-2}\,b\,b}=0$ and `momentum conservation'. equations obtained by constructing potential function computing its...

Celestial amplitudes are flat-space which Mellin-transformed to correlators living on the celestial sphere. In this note we present a recursion relation, based tree-level BCFW recursion, for gravitational and use it explore notion of conformal softness. As formula exponentiates in soft energy, leads directly theorems an exponential form. These appear from piece amplitude characterized by discrete family singularities with weights $Δ=1-\mathbb{Z}_+$. byproduct, case MHV sector provide direct...

We introduce a covariant Multipole Expansion for the scattering of massive particle emitting photons or gravitons in $D$ dimensions. find that these amplitudes exhibit very powerful features such as universality, soft exponentiation, orbit and spin multipoles, etc. Using ${\rm{SO}}(D)$ representation theory we show photon graviton are related via new double copy procedure spinning states. All then promoted to properties observables arising classical version theories. Focusing on radiation,...

Abstract Recently, planar collections of Feynman diagrams were proposed by Borges and one the authors as natural generalization for computation k = 3 biadjoint amplitudes. Planar are one-dimensional arrays metric trees satisfying an induced planarity compatibility condition. In this work, we introduce matrices objects that compute 4 These symmetric conditions. We two notions combinatorial bootstrap techniques finding from collections. As applications first, find all 693, 13 612 346 710 ( , n...

A bstract The analytic continuation of the general signature (1, 3) Lorentzian Kerr-Taub-NUT black holes to (2, 2) Kleinian is studied. Their global structure characterized by a toric Penrose diagram resembling their counterparts. are found be self-dual when mass and NUT charge equal for any value Kerr rotation parameter . Remarkably, it shown that can eliminated large diffeomorphism; this result also holds in Euclidean signature. from naturally induced S-matrix. Indeed, we show geometry...

A bstract We construct two-dimensional quantum states associated to four-dimensional linearized rotating self-dual black holes in (2, 2) signature Klein space. The are comprised of global conformal primaries circulating on the celestial torus, Kleinian analog sphere. By introducing a generalized tower Goldstone operators we identify as coherent exponentiations carrying an infinite w 1+ ∞ charges or soft hair. relate our results recent approaches hole scattering, including connection Wilson...

A bstract We present new formulas for n -particle tree-level scattering amplitudes of six-dimensional $$ \mathcal{N}=\left(1,1\right) <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> <mml:mo>=</mml:mo> <mml:mfenced> <mml:mn>1</mml:mn> </mml:mfenced> </mml:math> super Yang-Mills (SYM) and \mathcal{N}=\left(2,2\right) <mml:mn>2</mml:mn> supergravity (SUGRA). They are written as integrals over the moduli space certain rational maps localized on ( − 3)! solutions...

In order to obtain an efficient Ni-W catalyst for green diesel production, a new preparation method based on Keggin-type polyoxotungstates supported TiO2-Al2O3 was developed. The as-obtained (NiPW/TiO2-Al2O3) compared conventionally synthesized (NiW/TiO2-Al2O3) during each step of the preparation. Depending method, different species were formed. Afterward, catalysts sulfided, and Lewis Brønsted acid concentrations determined. Finally, all tested in hydroprocessing soybean oil. results show...