New Representations of the Perturbative S Matrix
We propose a new framework to represent the perturbative S matrix which is well defined for all quantum field theories of massless particles, constructed from tree-level amplitudes and integrable term by term. This representation is derived from the Feynman expansion through a series of partial fraction identities, discarding terms that vanish upon integration. Loop integrands are expressed in terms of "Q-cuts" that involve both off-shell and on-shell loop momenta, defined with a precise contour prescription that can be evaluated by ordinary methods. This framework implies recent results found in the scattering equation formalism at one loop, and it has a natural extension to all orders - even nonplanar theories without well-defined forward limits or good ultraviolet behavior.
© American Physical Society (APS) [New Representations of the Perturbative S Matrix. Physical Review Letters 116, 6 (2016)]
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Work Title | New Representations of the Perturbative S Matrix |
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License | In Copyright (Rights Reserved) |
Work Type | Article |
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Publication Date | February 10, 2016 |
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Deposited | January 23, 2024 |
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