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Duals of Feynman Integrals. Part II. Generalized unitarity.
- Source :
-
Journal of High Energy Physics . Apr2022, Vol. 2022 Issue 4, p1-64. 64p. - Publication Year :
- 2022
-
Abstract
- The first paper of this series introduced objects (elements of twisted relative cohomology) that are Poincaré dual to Feynman integrals. We show how to use the pairing between these spaces — an algebraic invariant called the intersection number — to express a scattering amplitude over a minimal basis of integrals, bypassing the generation of integration-by-parts identities. The initial information is the integrand on cuts of various topologies, computable as products of on-shell trees, providing a systematic approach to generalized unitarity. We give two algorithms for computing the multi-variate intersection number. As a first example, we compute 4- and 5-point gluon amplitudes in generic space-time dimension. We also examine the 4-dimensional limit of our formalism and provide prescriptions for extracting rational terms. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 11266708
- Volume :
- 2022
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Journal of High Energy Physics
- Publication Type :
- Academic Journal
- Accession number :
- 156929268
- Full Text :
- https://doi.org/10.1007/JHEP04(2022)078