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CHY-graphs on a torus
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DOI：10.1007/JHEP10(2016)116.png)
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摘要
En 中文
Recently, we proposed a new approach using a punctured Elliptic curve in the CHY framework in order to compute one-loop scattering amplitudes. In this note, we further develop this approach by introducing a set of connectors, which become the main ingredient to build integrands on , the moduli space of n-punctured Elliptic curves. As a particular application, we study the I broken vertical bar(3) bi-adjoint scalar theory. We propose a set of rules to construct integrands on from I broken vertical bar(3) integrands on , the moduli space of n-punctured spheres. We illustrate these rules by computing a variety of I broken vertical bar(3) one-loop Feynman diagrams. Conversely, we also provide another set of rules to compute the corresponding CHY-integrand on by starting instead from a given I broken vertical bar(3) one-loop Feynman diagram. In addition, our results can easily be extended to higher loops.
Keyword:
Differentialand Algebraic Geometry
Field Theories in Higher Dimensions
Scattering Amplitudes
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期刊
IF:
5.5
论文数:
4.0W
被引数:
13.7W
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分享收藏Scattering equations and BCJ relations for gauge and gravitational amplitudes with massive scalar particles具有大量标量粒子的规范和重力振幅的散射方程和BCJ关系OAAI
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