Machine learning Post-Minkowskian integrals - INSPIRE

DataBETA

Machine learning Post-Minkowskian integrals

Ryusuke Jinno
(
- Madrid, IFT and
- DESY
)
,
Gregor Kälin
(
- DESY
)
,
Zhengwen Liu
(
- DESY
)
,
Henrique Rubira
(
- DESY and
- Munich, Tech. U.
)

Sep 2, 2022

26 pages

Published in:

JHEP 07 (2023) 181

Published: Jul 24, 2023

e-Print:

2209.01091 [hep-th]

DOI:

10.1007/JHEP07(2023)181

Report number:

IFT-UAM/CSIC-22-97,
DESY-22-144,
TUM-HEP 1392/22

View in:

ADS Abstract Service

reference search7 citations

Citations per year

Abstract: (Springer)

We study a neural network framework for the numerical evaluation of Feynman loop integrals that are fundamental building blocks for perturbative computations of physical observables in gauge and gravity theories. We show that such a machine learning approach improves the convergence of the Monte Carlo algorithm for high-precision evaluation of multi-dimensional integrals compared to traditional algorithms. In particular, we use a neural network to improve the importance sampling. For a set of representative integrals appearing in the computation of the conservative dynamics for a compact binary system in General Relativity, we perform a quantitative comparison between the Monte Carlo integrators VEGAS and i-flow, an integrator based on neural network sampling.

Note:

26 pages + references, 4 figures, 3 tables, added ancillary, journal version

Scattering Amplitudes
Classical Theories of Gravity
Effective Field Theories
binary: compact
neural network
Monte Carlo
machine learning
gravitation
general relativity
higher-dimensional

References(167)

Figures(8)

Observation of Gravitational Waves from a Binary Black Hole Merger

LIGO Scientific and
Virgo

Collaborations

•

B.P. Abbott
(
- Caltech
)

et al.

- Phys.Rev.Lett. 116 (2016) 6, 061102
•
e-Print:
- 1602.03837
•
DOI:
- 10.1103/PhysRevLett.116.061102

GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs

LIGO Scientific and
Virgo

Collaborations

•

B.P. Abbott
(
- LIGO Lab., Caltech
)

et al.

- Phys.Rev.X 9 (2019) 3, 031040
•
e-Print:
- 1811.12907
•
DOI:
- 10.1103/PhysRevX.9.031040

GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run

LIGO Scientific and
Virgo

Collaborations

•

R. Abbott
(
- LIGO Lab., Caltech
)

et al.

- Phys.Rev.X 11 (2021) 021053
•
e-Print:
- 2010.14527
•
DOI:
- 10.1103/PhysRevX.11.021053

GWTC-3: Compact Binary Coalescences Observed by LIGO and Virgo during the Second Part of the Third Observing Run

Collaborations

•

R. Abbott
(
- LIGO Lab., Caltech
)

et al.

- Phys.Rev.X 13 (2023) 4, 041039,
- Phys. Rev. X; 13(4):041039; 2023
•
e-Print:
- 2111.03606
•
DOI:
- 10.1103/PhysRevX.13.041039

The NINJA-2 catalog of hybrid post-Newtonian/numerical-relativity waveforms for non-precessing black-hole binaries

P. Ajith
(
- LIGO Lab., Caltech
)
,
Michael Boyle
(
- Cornell U., Radio. Space Res. Ctr.
)
,
Duncan A. Brown
(
- Syracuse U.
)
,
Bernd Brügmann
(
- Jena U., TPI
)
,
Luisa T. Buchman
(
- Caltech
)

et al.

- Class.Quant.Grav. 29 (2012) 124001,
- Class.Quant.Grav. 30 (2013) 199401 (erratum)
•
e-Print:
- 1201.5319
•
DOI:
- 10.1088/0264-9381/29/12/124001

Approaching the Post-Newtonian Regime with Numerical Relativity: A Compact-Object Binary Simulation Spanning 350 Gravitational-Wave Cycles

Béla Szilágyi
(
- Caltech
)
,
Jonathan Blackman
(
- Caltech
)
,
Alessandra Buonanno
(
- Potsdam, Max Planck Inst. and
- Maryland U.
)
,
Andrea Taracchini
(
- Potsdam, Max Planck Inst.
)
,
Harald P. Pfeiffer
(
- Canadian Inst. Theor. Astrophys. and
- Canadian Inst. Advanced Res.
)

et al.

- Phys.Rev.Lett. 115 (2015) 3, 031102
•
e-Print:
- 1502.04953
•
DOI:
- 10.1103/PhysRevLett.115.031102

[7]

CoRe database of binary neutron star merger waveforms

Tim Dietrich
(
- Nikhef, Amsterdam and
- Potsdam, Max Planck Inst.
)
,
David Radice
(
- Princeton U., Astrophys. Sci. Dept. and
- Princeton, Inst. Advanced Study
)
,
Sebastiano Bernuzzi
(
- INFN, Parma and
- Jena U., TPI
)
,
Francesco Zappa
(
- Potsdam, Max Planck Inst. and
- Parma U.
)
,
Albino Perego
(
- INFN, Milan Bicocca and
- INFN, Parma and
- Milan Bicocca U.
)

et al.

- Class.Quant.Grav. 35 (2018) 24, 24LT01
•
e-Print:
- 1806.01625
•
DOI:
- 10.1088/1361-6382/aaebc0

[8]

Post-Newtonian Theory for Gravitational Waves

Luc Blanchet
(
- Paris, Inst. Astrophys.
)

- Living Rev.Rel. 17 (2014) 2,
- Living Rev.Rel. 27 (2024) 1, 4
•
e-Print:
- 1310.1528
•
DOI:
- 10.12942/lrr-2014-2

[9]

Hamiltonian formulation of general relativity and post-Newtonian dynamics of compact binaries

- Living Rev.Rel. 27 (2024) 1, 2,
- Living Rev.Rel. 21 (2018) 1, 7
•
e-Print:
- 1805.07240
•
DOI:
- 10.1007/s41114-024-00048-7

An Effective field theory of gravity for extended objects

Walter D. Goldberger
(
- Yale U.
)
,
Ira Z. Rothstein
(
- Carnegie Mellon U.
)

- Phys.Rev.D 73 (2006) 104029
•
e-Print:
- hep-th/0409156
•
DOI:
- 10.1103/PhysRevD.73.104029

Les Houches lectures on effective field theories and gravitational radiation

Walter D. Goldberger
(
- Yale U.
)

e-Print:
- hep-ph/0701129

Effective field theory methods to model compact binaries

- Class.Quant.Grav. 31 (2014) 4, 043001
•
e-Print:
- 1309.3474
•
DOI:
- 10.1088/0264-9381/31/4/043001

Progress in effective field theory approach to the binary inspiral problem

Ira Z. Rothstein
(
- Carnegie Mellon U.
)

- Gen.Rel.Grav. 46 (2014) 1726
•
DOI:
- 10.1007/s10714-014-1726-y

[14]

The effective field theorist’s approach to gravitational dynamics

Rafael A. Porto
(
- ICTP-SAIFR, Sao Paulo
)

- Phys.Rept. 633 (2016) 1-104
•
e-Print:
- 1601.04914
•
DOI:
- 10.1016/j.physrep.2016.04.003

Dynamics of the gravitational two-body problem at fourth post-Newtonian order and at quadratic order in the Newton constant

Stefano Foffa
(
- Geneva U.
)
,
Riccardo Sturani
(
- Urbino U. and
- INFN, Florence
)

- Phys.Rev.D 87 (2013) 6, 064011
•
e-Print:
- 1206.7087
•
DOI:
- 10.1103/PhysRevD.87.064011

Nonlocal-in-time action for the fourth post-Newtonian conservative dynamics of two-body systems

Thibault Damour
(
- IHES, Bures-sur-Yvette
)
,
Piotr Jaranowski
(
- Bialystok U.
)
,
Gerhard Schäfer
(
- Jena U., TPI
)

- Phys.Rev.D 89 (2014) 6, 064058
•
e-Print:
- 1401.4548
•
DOI:
- 10.1103/PhysRevD.89.064058

Derivation of local-in-time fourth post-Newtonian ADM Hamiltonian for spinless compact binaries

Piotr Jaranowski
(
- Warsaw U.
)
,
Gerhard Schäfer
(
- Jena U., TPI
)

- Phys.Rev.D 92 (2015) 12, 124043
•
e-Print:
- 1508.01016
•
DOI:
- 10.1103/PhysRevD.92.124043

Tail effect in gravitational radiation reaction: Time nonlocality and renormalization group evolution

Chad R. Galley
(
- Caltech, Pasadena (main)
)
,
Adam K. Leibovich
(
- Pittsburgh U.
)
,
Rafael A. Porto
(
- ICTP-SAIFR, Sao Paulo
)
,
Andreas Ross
(
- Carnegie Mellon U.
)

- Phys.Rev.D 93 (2016) 124010
•
e-Print:
- 1511.07379
•
DOI:
- 10.1103/PhysRevD.93.124010

Fokker action of nonspinning compact binaries at the fourth post-Newtonian approximation

- Phys.Rev.D 93 (2016) 8, 084037
•
e-Print:
- 1512.02876
•
DOI:
- 10.1103/PhysRevD.93.084037

Apparent ambiguities in the post-Newtonian expansion for binary systems

- Phys.Rev.D 96 (2017) 2, 024062
•
e-Print:
- 1703.06433
•
DOI:
- 10.1103/PhysRevD.96.024062

Lamb shift and the gravitational binding energy for binary black holes

Rafael A. Porto
(
- ICTP-SAIFR, Sao Paulo
)

- Phys.Rev.D 96 (2017) 2, 024063
•
e-Print:
- 1703.06434
•
DOI:
- 10.1103/PhysRevD.96.024063

Dimensional regularization of the IR divergences in the Fokker action of point-particle binaries at the fourth post-Newtonian order

Laura Bernard
(
- Lisbon, CENTRA
)
,
Luc Blanchet
(
- Paris U. VI, GRECO
)
,
Alejandro Bohé
(
- Potsdam, Max Planck Inst.
)
,
Guillaume Faye
(
- Paris U. VI, GRECO
)
,
Sylvain Marsat
(
- Potsdam, Max Planck Inst.
)

- Phys.Rev.D 96 (2017) 10, 104043
•
e-Print:
- 1706.08480
•
DOI:
- 10.1103/PhysRevD.96.104043

Ambiguity-Free Completion of the Equations of Motion of Compact Binary Systems at the Fourth Post-Newtonian Order

Tanguy Marchand
(
- Paris U. VI, GRECO and
- APC, Paris
)
,
Laura Bernard
(
- Lisbon, IST
)
,
Luc Blanchet
(
- Paris U. VI, GRECO
)
,
Guillaume Faye
(
- Paris U. VI, GRECO
)

- Phys.Rev.D 97 (2018) 4, 044023
•
e-Print:
- 1707.09289
•
DOI:
- 10.1103/PhysRevD.97.044023

Conservative dynamics of binary systems to fourth Post-Newtonian order in the EFT approach II: Renormalized Lagrangian

Stefano Foffa
(
- Geneva U.
)
,
Rafael A. Porto
(
- DESY, Zeuthen and
- ICTP, Trieste
)
,
Ira Rothstein
(
- Carnegie Mellon U.
)
,
Riccardo Sturani
(
- IIP, Brazil
)

- Phys.Rev.D 100 (2019) 2, 024048
•
e-Print:
- 1903.05118
•
DOI:
- 10.1103/PhysRevD.100.024048

Static two-body potential at fifth post-Newtonian order

Stefano Foffa
(
- Geneva U., CAP and
- Geneva U.
)
,
Pierpaolo Mastrolia
(
- U. Padua, Dept. Phys. Astron.
)
,
Riccardo Sturani
(
- IIP, Brazil
)
,
Christian Sturm
(
- Wurzburg U.
)
,
William J. Torres Bobadilla
(
- Valencia U.
)

- Phys.Rev.Lett. 122 (2019) 24, 241605
•
e-Print:
- 1902.10571
•
DOI:
- 10.1103/PhysRevLett.122.241605

1-25 of 167
1
2
3
4
5
6
7
25 / page