One-loop diagrams with quadratic propagators from the worldsheet

Feng, Bo; He, Song; Zhang, Yong; Zhang, Yao-Qi

doi:10.1007/jhep08(2022)240

Cited by 4 publications

(2 citation statements)

References 97 publications

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“…This enables the extraction of polynomial BCJ numerators in that representation. Certain elliptic functions denoted by V w (1, 2, • • • , m) in the literature has also shown to be useful to produce loop integrands with quadratic propagators in the one-loop Cachazo-He-Yuan formula [57,[59][60][61][62][63][64][65][66][67][68] and its α ′ uplift, areas poised to benefit significantly from our techniques for handling V m (1, 2, • • • , m) and their products.…”

Section: Jhep05(2024)255 10 Discussionmentioning

confidence: 99%

Advanced tools for basis decompositions of genus-one string integrals

Zhang

2024

J. High Energ. Phys.

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In string theories, one-loop scattering amplitudes are characterized by integrals over genus-one surfaces using the Kronecker-Eisenstein series. A recent methodology proposed a genus-one basis formed from products of these series of chain topologies. A prior work further deconstructed cyclic products of the Kronecker-Eisenstein series on this basis. Building on it, our study further employs advanced and comprehensive combinatorial techniques to decompose more general genus-one integrands including a product of an arbitrary number of cyclic products of Kronecker-Eisenstein series, supplemented by Mathematica codes. Our insights enhance the understanding of multiparticle amplitudes across various string theories and illuminate loop-level parallels with string tree-level amplitudes.

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Section: Jhep05(2024)255 10 Discussionmentioning

confidence: 99%

Advanced tools for basis decompositions of genus-one string integrals

Zhang

2024

J. High Energ. Phys.

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“…• Traditional ambitwistor-string formulae for one-loop integrands involve propagators linear in the loop momentum , and their conversion to quadratic propagators has been discussed from a variety of perspectives [63,[91][92][93][94][95][96][97]. We hope that our numerators may help to clarify how the recombination of linearized propagators to quadratic ones can be made to preserve both the color-kinematics duality and locality.…”

Section: Jhep02(2023)164mentioning

confidence: 99%

Perfecting one-loop BCJ numerators in SYM and supergravity

Edison

Johansson

et al. 2023

J. High Energ. Phys.

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We take a major step towards computing D-dimensional one-loop amplitudes in general gauge theories, compatible with the principles of unitarity and the color-kinematics duality. For n-point amplitudes with either supersymmetry multiplets or generic non-supersymmetric matter in the loop, simple all-multiplicity expressions are obtained for the maximal cuts of kinematic numerators of n-gon diagrams. At n = 6, 7 points with maximal supersymmetry, we extend the cubic-diagram numerators to encode all contact terms, and thus solve the long-standing problem of simultaneously realizing the following properties: color-kinematics duality, manifest locality, optimal power counting of loop momenta, quadratic rather than linearized Feynman propagators, compatibility with double copy as well as all graph symmetries. Color-kinematics dual representations with similar properties are presented in the half-maximally supersymmetric case at n = 4, 5 points. The resulting gauge-theory integrands and their supergravity counterparts obtained from the double copy are checked to reproduce the expected ultraviolet divergences.

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