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Expansion of All Multitrace Tree Level EYM Amplitudes

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arxiv 1708.04514 v2 pith:B2MKRGRS submitted 2017-08-15 hep-th

Expansion of All Multitrace Tree Level EYM Amplitudes

Yi-Jian Du , Bo Feng , Fei Teng This is my paper
classification hep-th
keywords amplitudesmultitraceleveltreeexpansionrecursivebcfwexpansions
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this paper, we investigate the expansion of tree level multitrace Einstein-Yang-Mills (EYM) amplitudes. First, we propose two types of recursive expansions of tree level EYM amplitudes with an arbitrary number of gluons, gravitons and traces by those amplitudes with fewer traces or/and gravitons. Then we give many support evidence, including proofs using the Cachazo-He-Yuan (CHY) formula and Britto-Cachazo-Feng-Witten (BCFW) recursive relation. As a byproduct, two types of generalized BCJ relations for multitrace EYM are further proposed, which will be useful in the BCFW proof. After one applies the recursive expansions repeatedly, any multitrace EYM amplitudes can be given in the Kleiss-Kuijf (KK) basis of tree level color ordered Yang-Mills (YM) amplitudes. Thus the Bern-Carrasco-Johansson (BCJ) numerators, as the expansion coefficients, for all multitrace EYM amplitudes are naturally constructed.

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Forward citations

Cited by 12 Pith papers

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    New differential operators transmute 1-loop gravitational integrands to Yang-Mills ones and enable a unified web of expansions relating integrands of gravity, gauge, scalar and effective theories.

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    hep-th 2024-06 unverdicted novelty 4.0

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