With the discovery of binary black hole coalescence GW150914, era gravitational-wave astrophysics has started.Gravitational-wave signals emitted by compact coalescences will be detected in large number LIGO and Virgo coming months years.Much about binaries is still uncertain, including some key details their formation channels.The two scenarios which are typically considered, common envelope evolution dynamical capture, result different distributions for orientation spins.In particular,...

Working within the post-Newtonian (PN) approximation to general relativity, we use effective field theory (EFT) framework study conservative dynamics of two-body motion at fourth PN order, fifth order in Newton constant. This is one missing pieces preventing computation full Lagrangian using EFT methods. We exploit analogy between diagrams gravitational and two-point functions massless gauge theory, address calculation four-loop amplitudes by means standard multiloop diagrammatic techniques....

We reproduce the two-body gravitational conservative dynamics at third post-Newtonian order for spinless sources by using effective field theory methods gravitationally bound system, proposed Goldberger and Rothstein. This result has been obtained automatizing computation of Feynman amplitudes within a Mathematica algorithm, paving way higher-order computations not yet performed traditional methods.

We complete the derivation of conservative dynamics binary systems to fourth Post-Newtonian (4PN) order in effective field theory (EFT) approach. present a self-contained (ambiguity-free) computation renormalized Lagrangian, entirely within confines PN expansion. While we confirm final results reported literature, clarify several issues regarding intermediate infrared (IR) and ultraviolet (UV) divergences, as well renormalization procedure. First, properly identify IR UV singularities using...

Within the framework of effective field theory approach to post-Newtonian approximation General Relativity, we report so far missing G^3 and G^4 sectors conservative two body dynamics at fourth perturbative order for non-spinning compact objects. Following standard procedure, exchange gravitational interaction is integrated out obtain a systematic expansion in terms Feynman graphs. Building on this result previously obtained ones, are able write local-in-time regularized Lagrangian order,...

In this short review we present a self-contained exposition of the effective field theory method approach to model dynamics gravitationally bound compact binary systems within post-Newtonian approximation General Relativity. Applications conservative sector, as well radiation emission by system are discussed in their salient features. Most important results pedagogical way, in-depths and details can be found referenced papers.

We derive the conservative part of Lagrangian and energy a gravitationally bound two-body system at fourth post-Newtonian order, up to terms quadratic in Newton constant. also show that such are compatible with Lorentz invariance we write an ansatz for center-of-mass position. The remaining carrying higher powers constant currently under investigation.

We determine the gravitational interaction between two compact bodies up to sixth power in Newton's constant, G_{N}, static limit. This result is achieved within effective field theory approach general relativity, and exploits a manifest factorization property of diagrams which allows us derive post Newtonian (PN) contributions (2n+1) order terms lower ones. recompute this fashion 1PN 3PN potential, present novel 5PN contribution.

Gravitational radiation reaction affects the dynamics of gravitationally bound binary systems. Here we focus on leading "tail" term which modifies at fourth post-Newtonian order, as first computed by Blanchet and Damour. We re-produce this result using effective field theory techniques in framework Lagrangian formalism suitably extended to include dissipation effects. recover known logarithmic tail term, consistently with recent interpretation mass parameter a renormalization group effect...

Third-generation ground-based interferometers as well the planned space-based interferometer LISA are expected to detect a plethora of gravitational wave signals from coalescing binaries at cosmological distance. The emitted waves propagate in expanding Universe through inhomogeneous distribution matter. Here we show that acceleration and peculiar binary with respect observer distort chirp signal simplest General Relativity prediction beyond mere time independent rescaling mass, affecting...

In the context of two-body problem in General Relativity, hereditary terms long range gravitational field depend on history rather than instantaneous state source at retarded time. We compute next-to leading effects such terms, that comprise tail and memory, dynamics, within effective theory methods, including both dissipative conservative effects. The former confirm known results 2.5 post-Newtonian order with respect to luminosity function; part is a new result an unavoidable ingredient for...

The presence of dark matter has been ascertained through a wealth astrophysical and cosmological phenomena its nature is central puzzle in modern science. Elementary particles stand as the most compelling explanation. They have intensively searched for at underground laboratories looking an energy recoil signal telescopes sifting excess events gamma-ray or cosmic-ray observations. In this work, we investigate detection method based on spectroscopy measurements neutron stars. We outline...

We investigate a recently proposed method for measuring the Hubble constant from gravitational wave detections of binary black hole coalescences without electromagnetic counterparts. In absence direct redshift measurement, missing information on left-hand side Hubble-Lema\^itre law is provided by statistical knowledge distribution sources. assume that source in depends unknown hyperparameters, modeling our ignorance astrophysical distribution. With tens thousands these "black sirens" --...

We combine different techniques to extract information about the logarithmic contributions two-body conservative dynamics within post-Newtonian (PN) approximation of General Relativity. The logarithms come from part non linear gravitational-wave tails and their iterations. Explicit, original expressions are found for tail terms up 6PN order by adopting both traditional PN calculations effective field theory (EFT) methods. also determine all at 7PN order, fixing a sub-leading logarithm...

We compute the contribution to two-body scattering angle of a specific class interactions involving exchange gravitational radiative degrees freedom, including nonlinear memory process and square radiation reaction effects. Our computation is performed directly from equations motion, thus computing overall effect both conservative dissipative processes. Such contributions provide in principle last missing ingredients at fifth post-Newtonian, fourth post-Minkowskian order.

We compute tail contributions to the conservative dynamics of a generic self-gravitating system, for every multipole order, either electric and magnetic parity. Such arise when gravitational radiation is backscattered by static curvature generated source itself reabsorbed. Tail processes are relevant study compact binary starting from fourth post-Newtonian order. Within this context, we resolve discrepancy recently arised at fifth order between Effective Field Theory self-force results.

We reanalyze the far zone contribution to two-body conservative dynamics arising from interaction between radiative and longitudinal modes, latter sourced by mass angular momentum, which in case is known as tail process. verify expected correspondence two loop self-energy amplitudes gluing of classical (one leading order, one at loop) emission amplitudes, with focus on Ward identities. As part our analysis, we originally compute processes mode momentum for generic electric magnetic...

Abstract In the broad subclass of Horndeski theories with a luminal speed gravitational waves, we derive waveforms emitted from compact binary by considering wave propagation on spatially flat cosmological background. A scalar field nonminimally coupled to gravity gives rise hairy neutron star (NS) solutions nonvanishing charge, whereas black holes (BHs) do not have hairs in such theories. system containing at least one modifies comparison those BH-BH binary. Using tensor waveforms, forecast...

We apply the classical double copy to calculation of self-energy composite systems with multipolar coupling gravitational field, obtaining next-to-leading order results in $G_N$ by generalizing color kinematics replacement rules known literature. When applied description two-body system, diagrams studied this work correspond tail processes, whose physical interpretation is radiation being emitted non-relativistic source, scattered curvature generated binary system and then re-absorbed same...

We discuss the power of third-generation gravitational wave detectors to constrain cosmographic parameters in case electromagnetically bright standard sirens focusing on specific Einstein Telescope. analyze impact that redshift source distribution, number detections and observational error luminosity distance have inference first parameters, show with a few hundreds Hubble constant can be recovered at sub-percent level whereas deceleration parameter percent level, both negligible bias.

Abstract Observations of gravitational waves (GWs) from dark sirens allow us to infer their locations and distances. Galaxies, on the other hand, have precise angular positions but no direct measurement distances — only redshifts. The cross-correlation GWs, which we limit here binary black hole mergers (BBH), in spherical shells luminosity distance D L , with galaxies redshift z leads a Hubble diagram ( ). Since this standard ruler relies statistical proximity (a general property large-scale...

A bstract factorisation property of Feynman diagrams in the context Effective Field Theory approach to compact binary problem has been recently employed efficiently determine static sector potential at fifth post-Newtonian (5PN) order. We extend this procedure case non-static and we use it fix, by means elementary algebraic manipulations, value more than one thousand 5PN order, that is a substantial fraction needed fully dynamics 5PN. This addresses redundancy plagues computation binding...

We revisit several aspects of the interaction self-gravitating, slowly varying sources with their own emitted radiation within context post-Newtonian approximation to General Relativity. discuss and clarify choice boundary conditions Green's functions used determine conservative potentials, interplay between so-called near far zones, as well relation zone ultra-violet divergences power. Both contributions are required for computation dynamics. Within a field-theory approach we rederive...

Abstract Cosmological distances are fundamental observables in cosmology. The luminosity ( D L ), angular diameter A ) and gravitational wave GW all trivially related General Relativity assuming no significant absorption of photons the extragalactic medium, also known as cosmic opacity. Supernovae have long been main cosmological standard candle, but bright sirens now a proven alternative, with advantage not requiring calibration other astrophysical sources. Moreover, they can measure...