Duals of Feynman integrals. II: Generalized unitarity
From MaRDI portal
Publication:2092585
DOI10.1007/JHEP04(2022)078WikidataQ114233580 ScholiaQ114233580MaRDI QIDQ2092585
Andrzej Pokraka, Simon Caron-Huot
Publication date: 2 November 2022
Published in: Journal of High Energy Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.00055
Related Items
Banana integrals in configuration space, Generation function for one-loop tensor reduction, Loop-by-loop differential equations for dual (elliptic) Feynman integrals, Macaulay matrix for Feynman integrals: linear relations and intersection numbers, Real time lattice correlation functions from differential equations, Intersection numbers from higher-order partial differential equations, The stratification of rigidity, Feynman integral reduction using Gröbner bases, Restrictions of Pfaffian systems for Feynman integrals
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Direct extraction of one loop rational terms
- Full one-loop amplitudes from tree amplitudes
- Some problems of hypergeometric integrals associated with hypersphere arrangement
- The number of master integrals is finite
- Spanning forest polynomials and the transcendental weight of Feynman graphs
- Prescriptive unitarity
- Critical points and number of master integrals
- On motives associated to graph polynomials
- Generalized unitarity and one-loop amplitudes in \(\mathcal N=1\) super-Yang-Mills
- On vanishing of cohomology attached to certain many valued meromorphic functions
- Intersection numbers for logarithmic \(K\)-forms
- Twisted de Rham cohomology groups of logarithmic forms
- Feynman diagrams as a weight system: four-loop test of a four-term relation.
- Feynman integrals and intersection theory
- Integrands for QCD rational terms and \( \mathcal{N} = {4} \) SYM from massive CSW rules
- Reduction of one-loop integrals with higher poles by unitarity cut method
- Decomposition of Feynman integrals by multivariate intersection numbers
- Scattering amplitudes for all masses and spins
- Duals of Feynman integrals. I: Differential equations
- Meromorphic modular forms and the three-loop equal-mass banana integral
- Kira -- a Feynman integral reduction program
- Hypergeometric integrals associated with hypersphere arrangements and Cayley-Menger determinants
- Logarithmic forms and differential equations for Feynman integrals
- From infinity to four dimensions: higher residue pairings and Feynman integrals
- Prescriptive unitarity for non-planar six-particle amplitudes at two loops
- Decomposition of Feynman integrals on the maximal cut by intersection numbers
- Analytic result for the nonplanar hexa-box integrals
- The two-loop five-particle amplitude in $ \mathcal{N}=8$ supergravity
- A novel approach to integration by parts reduction
- FIRE6: Feynman integral reduction with modular arithmetic
- HIGH-PRECISION CALCULATION OF MULTILOOP FEYNMAN INTEGRALS BY DIFFERENCE EQUATIONS
- Scattering Amplitudes in Gauge Theory and Gravity
- Theory of Hypergeometric Functions
- Connection between Feynman integrals having different values of the space-time dimension
- Hypergeometric Functions, My Love
- Intersection theory for twisted cohomologies and twisted Riemann’s period relations I
- Aspects of Scattering Amplitudes and Moduli Space Localization
- Lectures on differential equations for Feynman integrals
- Singularities and Discontinuities of Feynman Amplitudes