We present the amplitude for classical scattering of gravitationally interacting massive scalars at third post-Minkowskian order. Our approach harnesses powerful tools from modern amplitudes program such as generalized unitarity and double-copy construction, which relates gravity integrands to simpler gauge-theory expressions. Adapting methods integration matching effective field theory, we extract conservative Hamiltonian compact spinless binaries The resulting is in complete agreement with...

A general method for computing the classical potential spinless particles from their scattering amplitudes is utilized to obtain accurate analytic expressions post-Newtonian corrections applicable binary black hole systems.

Using scattering amplitudes, we obtain the potential contributions to conservative binary dynamics in general relativity at fourth post-Minkowskian order O(G4). As previous lower-order calculations, harness powerful tools from modern amplitudes program including generalized unitarity, double copy, and advanced multiloop integration methods, combination with effective field theory. The classical amplitude involves polylogarithms up transcendental weight two elliptic integrals. We derive...

We describe a systematic framework for computing the conservative potential of compact binary system using modern tools from scattering amplitudes and effective field theory. Our approach combines methods integration matching adapted theory, generalized unitarity, double-copy construction, which relates gravity integrands to simpler gauge-theory expressions. With these we derive third post-Minkowskian correction two-body Hamiltonian spinless black holes. in some detail various checks our...

We complete the calculation of conservative two-body scattering dynamics at fourth post-Minkowskian order, i.e., O(G^{4}) and all orders in velocity, including radiative contributions corresponding to tail effect general relativity. As previous calculations, we harness powerful tools from modern amplitudes program generalized unitarity, double copy, advanced multiloop integration methods, combination with effective field theory. The classical amplitude involves elliptic integrals,...

Models of Weakly Interacting Massive Particles (WIMPs) specified at the electroweak scale are systematically matched to effective theories hadronic scales where WIMP-nucleus scattering observables evaluated. Anomalous dimensions and heavy quark threshold matching conditions computed for complete basis lowest-dimension operators involving quarks gluons. The resulting QCD renormalization group evolution equations solved. status relevant matrix elements is reviewed phenomenological...

A bstract We perform a Feynman diagram calculation of the two-loop scattering amplitude for gravitationally interacting massive particles in classical limit. Conveniently, we are able to sidestep most taxing diagrams by exploiting test-particle limit which system is fully characterized particle propagating Schwarzschild spacetime. assume general choice graviton field basis and gauge fixing that contains as subset well-known deDonder its various cousins. As highly nontrivial consistency...

The discovery of a standard-model-like Higgs boson and the hitherto absence evidence for other new states may indicate that if weakly interacting massive particles (WIMPs) comprise cosmological dark matter, they are heavy compared to electroweak scale particles, $M\ensuremath{\gg}{m}_{{W}^{\ifmmode\pm\else\textpm\fi{}}}$, ${m}_{{Z}^{0}}$. In this limit, absolute cross section WIMP given quantum numbers scatter from nucleon becomes computable in terms standard model parameters. We develop...

Tools from scattering amplitudes and effective field theory have recently been repurposed to derive state-of-the-art results for the black hole binary inspiral in post-Minkowskian expansion. In present Letter, we extend this approach include tidal effects of mass current quadrupoles on conservative dynamics nonspinning neutron star mergers. We compute leading and, first time, next-to-leading order finite size corrections Hamiltonian, together with their associated angles. Our expressions are...

The geodesic equation encodes test-particle dynamics at arbitrary gravitational coupling, hence retaining all orders in the post-Minkowskian (PM) expansion. Here we explore what motion can tell us about dynamical scattering presence of perturbatively small effects such as tidal distortion and higher derivative corrections to general relativity. We derive an algebraic map between perturbed leading PM amplitude mass ratio. As examples, compute formulas for amplitudes isotropic gauge...

We compare numerical self-force results and analytical fourth-order post-Minkowskian (PM) calculations for hyperbolic-type scattering of a point-like particle carrying scalar charge $Q$ off Schwarzschild black hole, showing remarkably good agreement. Specifically, we numerically compute the angle including full $O(Q^2)$ scalar-field term (but ignoring gravitational self-force), with expressions obtained in PM framework using scattering-amplitude methods. This example provides nontrivial,...

A bstract We employ scattering amplitudes in curved space to model the dynamics of a light probe particle with mass m orbiting background spacetime induced by heavy gravitational source M . Observables are organized as an expansion m/M all orders G — self-force expansion. An essential component our analysis is backreaction which we capture including associated degrees freedom. As illustration consider Schwarzschild and verify geodesic motion well first-order correction two-body through...

The parity and time-reversal invariant effective Lagrangian for a heavy fermion interacting with an Abelian gauge field, i.e., NRQED, is constructed through order $1/{M}^{4}$. implementation of Lorentz invariance in the theory becomes nontrivial at this order, complete solution Wilson coefficient constraints obtained. Matching conditions one-fermion sector are presented terms form factors two-photon matrix elements nucleon. extension NRQED to describe interactions light introduced. Sample...

We present formalism necessary to determine weak-scale matching coefficients in the computation of scattering cross sections for putative dark matter candidates interacting with Standard Model. Particular attention is paid heavy-particle limit. A consistent renormalization scheme presence nontrivial residual masses implemented. Two-loop diagrams appearing gluon operators are evaluated. Details given universal limit WIMP-nucleon pure states arbitrary quantum numbers, and singlet-doublet...

We compute the non-Gaussian contribution to covariance of matter power spectrum at one-loop order in Standard Perturbation Theory (SPT), and using framework effective field theory (EFT) large scale structure (LSS). The complete contributions are evaluated for first time, including leading EFT corrections that involve seven independent operators, which four appear bispectrum. compare part computed with both SPT LSS two separate simulations. In one simulation, we find prediction from...

We compute the connected four point correlation function (the trispectrum in Fourier space) of cosmological density perturbations at one-loop order Standard Perturbation Theory (SPT) and Effective Field Large Scale Structure (EFT LSS). This paper is a companion to our earlier work on non-Gaussian covariance matter power spectrum, which corresponds particular wavenumber configuration trispectrum. In present calculation, we highlight clarify some subtle aspects EFT framework that arise third...

In a large class of models for Weakly Interacting Massive Particles (WIMPs), the WIMP mass M lies far above weak scale m W . This work identifies universal Sudakov-type logarithms ∼ α log2(2 M/m ) that spoil naive convergence perturbation theory annihilation processes. An effective field (EFT) framework is presented, allowing systematic resummation these logarithms. Another impact separation scales long-distance wavefunction distortion from electroweak boson exchange leads to observable...

We review recent progress using amplitudes methods to obtain new results for the conservative classical scattering of two massive black holes at order O(G^4). include contributions from both potential and radiation modes which effect dynamics through tail effect. compute 2 → extract radial action amplitude- formula derive angle. By matching we also a Hamiltonian valid arbitrary trajectories.

Employing induced representations of the Lorentz group (Wigner's little construction), formalism for constructing heavy particle effective Lagrangians is developed, and Lagrangian constraints enforcing invariance $S$ matrix are derived. The relationship between reparametrization established it shown why a standard ansatz implementing in fermion breaks down at order $1/{M}^{4}$. Formalism fields arbitrary spin self-conjugate presented, extension to theories massless discussed.

A bstract We present a general framework for calculating post-Minskowskian, classical, conservative Hamiltonians N non-spinning bodies in relativity from relativistic scattering amplitudes. Novel features > 2 are described including the subtraction of tree-like iteration contributions and calculation non-trivial many-body Fourier transform integrals needed to construct position space potentials. new approach these as an expansion hierarchical limit is based on method regions. As explicit...

We apply an orthogonalization procedure on the effective field theory of large scale structure (EFT LSS) shapes, relevant for angle-averaged bispectrum and non-Gaussian covariance matter power spectrum at one loop. Assuming natural-sized EFT parameters, this identifies a linear combination shapes - referred to as principal shape that gives dominant contribution whole kinematic plane, with subdominant combinations suppressed by few orders magnitude. For covariance, our orthogonal...

A bstract Employing techniques from scattering amplitudes and effective field theory, we model the dynamics of hierarchical triples, which are three-body systems composed two bodies separated by a distance r third body ρ away, with ≪ . We apply method regions to systematically expand in small ratio / illustrate this approach for evaluating Fourier transform integrals, have been bottleneck deriving complete results position space. In limit where distant is much heavier than other two, derive...

We construct an effective field theory (EFT) description of the hard photon spectrum for heavy WIMP annihilation. This facilitates precision predictions relevant line searches, and allows incorporation non-trivial energy resolution effects. Our framework combines techniques from non-relativistic EFTs soft-collinear (SCET), as well its multi-scale extensions that have been recently introduced studying jet substructure. find a number interesting features, including simultaneous presence...

We apply effective field theory methods to compute bino-nucleon scattering, in the case where tree-level interactions are suppressed and leading contribution is at loop order via heavy flavor squarks or sleptons. find that log corrections fixed-order calculations can increase bino mass reach of direct detection experiments by a factor 2 some models. These effects particularly large for bino-sbottom coannihilation region, dark matter as 5--10 TeV may be detected near future experiments. For...