EDP Sciences logo
Web of Conferences logo
Search
Menu
All issues Volume 314 (2024) EPJ Web Conf., 314 (2024) 00029 References
Open Access
Issue
EPJ Web Conf.
Volume 314, 2024
QCD@Work 2024 - International Workshop on Quantum Chromodynamics - Theory and Experiment
Article Number 00029
Number of page(s) 7
DOI https://doi.org/10.1051/epjconf/202431400029
Published online 10 December 2024
  1. K.G. Chetyrkin, F.V. Tkachov, Integration by Parts: The Algorithm to Calculate beta Functions in 4 Loops, Nucl. Phys. B192, 159 (1981). 10.1016/0550-3213(81)90199-1 [CrossRef] [Google Scholar]
  2. P. Mastrolia, S. Mizera, Feynman Integrals and Intersection Theory, JHEP 02, 139 (2019), 1810.03818. 10.1007/JHEP02(2019)139 [CrossRef] [Google Scholar]
  3. H. Frellesvig, F. Gasparotto, S. Laporta, M.K. Mandal, P. Mastrolia, L. Mattiazzi, S. Mizera, Decomposition of Feynman Integrals on the Maximal Cut by Intersection Numbers, JHEP 05, 153 (2019), 1901.11510. 10.1007/JHEP05(2019)153 [CrossRef] [Google Scholar]
  4. H. Frellesvig, F. Gasparotto, M.K. Mandal, P. Mastrolia, L. Mattiazzi, S. Mizera, Vector Space of Feynman Integrals and Multivariate Intersection Numbers, Phys. Rev. Lett. 123, 201602 (2019), 1907.02000. 10.1103/PhysRevLett.123.201602 [CrossRef] [PubMed] [Google Scholar]
  5. K. Cho, K. Matsumoto, Intersection theory for twisted cohomologies and twisted Riemann’s period relations I, Nagoya Math. J. 139, 67 (1995). 10.1017/S0027763000005304 [CrossRef] [Google Scholar]
  6. S. Mizera, Scattering Amplitudes from Intersection Theory, Phys. Rev. Lett. 120, 141602 (2018), 1711.00469. 10.1103/PhysRevLett.120.141602 [CrossRef] [PubMed] [Google Scholar]
  7. S. Mizera, Aspects of Scattering Amplitudes and Moduli Space Localization (2019), 1906.02099 [Google Scholar]
  8. H. Frellesvig, F. Gasparotto, S. Laporta, M.K. Mandal, P. Mastrolia, L. Mattiazzi, S. Mizera, Decomposition of Feynman Integrals by Multivariate Intersection Numbers, JHEP 03, 027 (2021), 2008.04823. 10.1007/JHEP03(2021)027 [CrossRef] [Google Scholar]
  9. V. Chestnov, F. Gasparotto, M.K. Mandal, P. Mastrolia, S.J. Matsubara-Heo, H.J. Munch, N. Takayama, Macaulay matrix for Feynman integrals: linear relations and intersection numbers, JHEP 09, 187 (2022), 2204.12983. 10.1007/JHEP09(2022)187 [CrossRef] [Google Scholar]
  10. V. Chestnov, H. Frellesvig, F. Gasparotto, M.K. Mandal, P. Mastrolia, Intersection numbers from higher-order partial differential equations, JHEP 06, 131 (2023), 2209.01997. 10.1007/JHEP06(2023)131 [CrossRef] [Google Scholar]
  11. S. Caron-Huot, A. Pokraka, Duals of Feynman Integrals. Part II. Generalized unitarity, JHEP 04, 078 (2022), 2112.00055. 10.1007/JHEP04(2022)078 [CrossRef] [Google Scholar]
  12. S. Caron-Huot, A. Pokraka, Duals of Feynman integrals. Part I. Differential equations, JHEP 12, 045 (2021), 2104.06898. 10.1007/JHEP12(2021)045 [CrossRef] [Google Scholar]
  13. S. Weinzierl, On the computation of intersection numbers for twisted cocycles, J. Math. Phys. 62, 072301 (2021), 2002.01930. 10.1063/5.0054292 [CrossRef] [Google Scholar]
  14. W.D. Goldberger, I.Z. Rothstein, An Effective field theory of gravity for extended objects, Phys. Rev. D 73, 104029 (2006), hep-th/0409156. 10.1103/Phys-RevD.73.104029 [CrossRef] [Google Scholar]
  15. J.B. Gilmore, A. Ross, Effective field theory calculation of second post-Newtonian binary dynamics, Phys. Rev. D 78, 124021 (2008), 0810.1328. 10.1103/Phys-RevD.78.124021 [CrossRef] [Google Scholar]
  16. S. Foffa, R. Sturani, Conservative dynamics of binary systems to fourth Post-Newtonian order in the EFT approach I: Regularized Lagrangian, Phys. Rev. D 100, 024047 (2019), 1903.05113. 10.1103/PhysRevD.100.024047 [CrossRef] [Google Scholar]
  17. S. Foffa, P. Mastrolia, R. Sturani, C. Sturm, Effective field theory approach to the gravitational two-body dynamics, at fourth post-Newtonian order and quintic in the Newton constant, Phys. Rev. D 95, 104009 (2017), 1612.00482. 10.1103/PhysRevD.95.104009 [CrossRef] [Google Scholar]
  18. J. Blümlein, A. Maier, P. Marquard, G. Schäfer, Fourth post-Newtonian Hamiltonian dynamics of two-body systems from an effective field theory approach, Nucl. Phys. B 955, 115041 (2020), 2003.01692. 10.1016/j.nuclphysb.2020.115041 [CrossRef] [Google Scholar]
  19. S. Foffa, P. Mastrolia, R. Sturani, C. Sturm, W.J. Torres Bobadilla, Static two-body potential at fifth post-Newtonian order, Phys. Rev. Lett. 122, 241605 (2019), 1902.10571. 10.1103/PhysRevLett.122.241605 [CrossRef] [PubMed] [Google Scholar]
  20. J. Blümlein, A. Maier, P. Marquard, G. Schäfer, The fifth-order post-Newtonian Hamiltonian dynamics of two-body systems from an effective field theory approach (2021), 2110.13822 [Google Scholar]
  21. N.E.J. Bjerrum-Bohr, P.H. Damgaard, G. Festuccia, L. Planté, P. Vanhove, General Relativity from Scattering Amplitudes, Phys. Rev. Lett. 121, 171601 (2018), 1806.04920. 10.1103/PhysRevLett.121.171601 [CrossRef] [PubMed] [Google Scholar]
  22. C. Cheung, I.Z. Rothstein, M.P. Solon, From Scattering Amplitudes to Classical Potentials in the Post-Minkowskian Expansion, Phys. Rev. Lett. 121, 251101 (2018), 1808.02489. 10.1103/PhysRevLett.121.251101 [CrossRef] [PubMed] [Google Scholar]
  23. Z. Bern, C. Cheung, R. Roiban, C.H. Shen, M.P. Solon, M. Zeng, Black Hole Binary Dynamics from the Double Copy and Effective Theory, JHEP 10, 206 (2019), 1908.01493. 10.1007/JHEP10(2019)206 [CrossRef] [Google Scholar]
  24. G. Kälin, Z. Liu, R.A. Porto, Conservative Dynamics of Binary Systems to Third Post- Minkowskian Order from the Effective Field Theory Approach, Phys. Rev. Lett. 125, 261103 (2020), 2007.04977. 10.1103/PhysRevLett.125.261103 [CrossRef] [PubMed] [Google Scholar]
  25. R.A. Porto, The effective field theorist’s approach to gravitational dynamics, Phys. Rept. 633, 1 (2016), 1601.04914. 10.1016/j.physrep.2016.04.003 [CrossRef] [Google Scholar]
  26. M. Levi, Effective Field Theories of Post-Newtonian Gravity: A comprehensive review, Rept. Prog. Phys. 83, 075901 (2020), 1807.01699. 10.1088/1361-6633/ab12bc [CrossRef] [PubMed] [Google Scholar]
  27. R.A. Porto, Post-Newtonian corrections to the motion of spinning bodies in NRGR, Phys. Rev. D 73, 104031 (2006), gr-qc/0511061. 10.1103/PhysRevD.73.104031 [CrossRef] [Google Scholar]
  28. M. Levi, A.J. Mcleod, M. Von Hippel, N3LO gravitational spin-orbit coupling at order G4, JHEP 07, 115 (2021), 2003.02827. 10.1007/JHEP07(2021)115 [CrossRef] [Google Scholar]
  29. G. Cho, B. Pardo, R.A. Porto, Gravitational radiation from inspiralling compact objects: Spin-spin effects completed at the next-to-leading post-Newtonian order, Phys. Rev. D 104, 024037 (2021), 2103.14612. 10.1103/PhysRevD.104.024037 [CrossRef] [Google Scholar]
  30. G. Cho, R.A. Porto, Z. Yang, Gravitational radiation from inspiralling compact objects: Spin effects to the fourth post-Newtonian order, Phys. Rev. D 106, L101501 (2022), 2201.05138. 10.1103/PhysRevD.106.L101501 [CrossRef] [Google Scholar]
  31. D. Bini, T. Damour, S. De Angelis, A. Geralico, A. Herderschee, R. Roiban, F. Teng, Gravitational waveforms: A tale of two formalisms, Phys. Rev. D 109, 125008 (2024), 2402.06604. 10.1103/PhysRevD.109.125008 [CrossRef] [Google Scholar]
  32. G. Brunello, S. De Angelis, An improved framework for computing waveforms, JHEP 07, 062 (2024), 2403.08009. 10.1007/JHEP07(2024)062 [CrossRef] [Google Scholar]
  33. R.N. Lee, A.A. Pomeransky, Critical points and number of master integrals, JHEP 11, 165 (2013), 1308.6676. 10.1007/JHEP11(2013)165 [CrossRef] [Google Scholar]
  34. K. Matsumoto, Intersection numbers for 1-forms associated with confluent hypergeometric functions, Funkcial. Ekvac. 41, 291 (1998) [Google Scholar]
  35. G. Fontana, T. Peraro, Reduction to master integrals via intersection numbers and polynomial expansions, JHEP 08, 175 (2023), 2304.14336. 10.1007/JHEP08(2023)175 [CrossRef] [Google Scholar]
  36. G. Brunello, V. Chestnov, G. Crisanti, H. Frellesvig, M.K. Mandal, P. Mastrolia, Intersection numbers, polynomial division and relative cohomology, JHEP 09, 015 (2024), 2401.01897. 10.1007/JHEP09(2024)015 [CrossRef] [Google Scholar]
  37. G. Brunello, V. Chestnov, P. Mastrolia, Intersection Numbers from Companion Tensor Algebra (2024), 2408.16668 [Google Scholar]
  38. B. Kol, M. Smolkin, Non-Relativistic Gravitation: From Newton to Einstein and Back, Class. Quant. Grav. 25, 145011 (2008), 0712.4116. 10.1088/0264-9381/25/14/145011 [CrossRef] [Google Scholar]
  39. B. Kol, M. Smolkin, Classical Effective Field Theory and Caged Black Holes, Phys. Rev. D 77, 064033 (2008), 0712.2822. 10.1103/PhysRevD.77.064033 [CrossRef] [Google Scholar]
  40. M. Levi, J. Steinhoff, Spinning gravitating objects in the effective field theory in the post-Newtonian scheme, JHEP 09, 219 (2015), 1501.04956. 10.1007/JHEP09(2015)219 [CrossRef] [Google Scholar]
  41. M. Levi, J. Steinhoff, EFTofPNG: A package for high precision computation with the Effective Field Theory of Post-Newtonian Gravity, Class. Quant. Grav. 34, 244001 (2017), 1705.06309. 10.1088/1361-6382/aa941e [CrossRef] [Google Scholar]
  42. J.M.M. García, Xact: Efficient tensor computer algebra for mathematica, http://www.xact.es [Google Scholar]
  43. R.N. Lee, LiteRed 1.4: a powerful tool for reduction of multiloop integrals, J. Phys. Conf. Ser. 523, 012059 (2014), 1310.1145. 10.1088/1742-6596/523/1/012059 [CrossRef] [Google Scholar]
  44. M.K. Mandal, P. Mastrolia, R. Patil, J. Steinhoff, Gravitational spin-orbit Hamiltonian at NNNLO in the post-Newtonian framework, JHEP 03, 130 (2023), 2209.00611. 10.1007/JHEP03(2023)130 [CrossRef] [Google Scholar]
  45. M.K. Mandal, P. Mastrolia, R. Patil, J. Steinhoff, Gravitational quadratic-in-spin Hamiltonian at NNNLO in the post-Newtonian framework, JHEP 07, 128 (2023), 2210.09176. 10.1007/JHEP07(2023)128 [CrossRef] [Google Scholar]
  46. M.K. Mandal, P. Mastrolia, H.O. Silva, R. Patil, J. Steinhoff, Gravitoelectric dynamical tides at second post-Newtonian order, JHEP 11, 067 (2023), 2304.02030. 10.1007/JHEP11(2023)067 [CrossRef] [Google Scholar]
  47. M.K. Mandal, P. Mastrolia, H.O. Silva, R. Patil, J. Steinhoff, Renormalizing Love: tidal effects at the third post-Newtonian order, JHEP 02, 188 (2024), 2308.01865. 10.1007/JHEP02(2024)188 [CrossRef] [Google Scholar]

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.