253 citations · 1.1k across the 24 of their papers we have counts for
9 papers · 1 filter
Intersection Numbers, Polynomial Division and Relative Cohomology
Giacomo Brunello, Vsevolod Chestnov, Giulio Crisanti +3
We present a simplification of the recursive algorithm for the evaluation of intersection numbers for differential -forms, by combining the advantages emerging from the choice o…
Renormalizing Love: tidal effects at the third post-Newtonian order
Manoj K. Mandal, Pierpaolo Mastrolia, Hector O. Silva +2
We present the conservative effective two-body Hamiltonian at the third order in the post-Newtonian expansion with gravitoelectric quadrupolar dynamical tidal-interactions. Our der…
Gravitoelectric dynamical tides at second post-Newtonian order
Manoj K. Mandal, Pierpaolo Mastrolia, Hector O. Silva +2
We present a gravitoelectric quadrupolar dynamical tidal-interaction Hamiltonian for a compact binary system, that is valid to second order in the post-Newtonian expansion. Our der…
Gravitational Quadratic-in-Spin Hamiltonian at NNNLO in the post-Newtonian framework
Manoj K. Mandal, Pierpaolo Mastrolia, Raj Patil +1
We present the result of the quadratic-in-spin interaction Hamiltonian for binary systems of rotating compact objects with generic spins, up to NNNLO corrections within the post-Ne…
Intersection Numbers from Higher-order Partial Differential Equations
Vsevolod Chestnov, Hjalte Frellesvig, Federico Gasparotto +2
We propose a new method for the evaluation of intersection numbers for twisted meromorphic -forms, through Stokes' theorem in dimensions. It is based on the solution of an $…
Gravitational Spin-Orbit Hamiltonian at NNNLO in the post-Newtonian framework
Manoj K. Mandal, Pierpaolo Mastrolia, Raj Patil +1
We present the result of the spin-orbit interaction Hamiltonian for binary systems of rotating compact objects with generic spins, up to NNNLO corrections within the post-Newtonian…
Macaulay Matrix for Feynman Integrals: Linear Relations and Intersection Numbers
Vsevolod Chestnov, Federico Gasparotto, Manoj K. Mandal +4
We elaborate on the connection between Gel'fand-Kapranov-Zelevinsky systems, de Rham theory for twisted cohomology groups, and Pfaffian equations for Feynman integrals. We propose…
Decomposition of Feynman Integrals by Multivariate Intersection Numbers
Hjalte Frellesvig, Federico Gasparotto, Stefano Laporta +4
We present a detailed description of the recent idea for a direct decomposition of Feynman integrals onto a basis of master integrals by projections, as well as a direct derivation…
Vector Space of Feynman Integrals and Multivariate Intersection Numbers
Hjalte Frellesvig, Federico Gasparotto, Manoj K. Mandal +3
Feynman integrals obey linear relations governed by intersection numbers, which act as scalar products between vector spaces. We present a general algorithm for constructing multiv…