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A combinatoric shor...
A combinatoric shortcut to evaluate CHY-forms
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- Wang, Tianheng (författare)
- Nanjing Univ, Dept Phys, Nanjing, Jiangsu, Peoples R China.
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- Chen, Gang (författare)
- Uppsala universitet,Teoretisk fysik,Zhejiang Normal Univ, Dept Phys, Jinhua, Zhejiang, Peoples R China.
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- Cheung, Yeuk-Kwan E. (författare)
- Nanjing Univ, Dept Phys, Nanjing, Jiangsu, Peoples R China.
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- Xu, Feng (författare)
- Weavi Corp Ltd, Nanjing, Jiangsu, Peoples R China.
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Nanjing Univ, Dept Phys, Nanjing, Jiangsu, Peoples R China Teoretisk fysik (creator_code:org_t)
- Springer, 2017
- 2017
- Engelska.
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Ingår i: Journal of High Energy Physics (JHEP). - : Springer. - 1126-6708 .- 1029-8479. ; :6
- Relaterad länk:
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https://uu.diva-port... (primary) (Raw object)
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- In our recent work, we proposed a differential operator for the evaluation of the multi-dimensional residues on isolated (zero-dimensional) poles. In this paper we discuss some new insight on evaluating the (generalized) Cachazo-He-Yuan (CHY) forms of the scattering amplitudes using this differential operator. We introduce a tableau representation for the coefficients appearing in the proposed differential operator. Combining the tableaux with the polynomial form of the scattering equations, the evaluation of the generalized CHY form becomes a simple combinatoric problem. It is thus possible to obtain the coefficients arising in the differential operator in a straightforward way. We present the procedure for a complete solution of the n-gon amplitudes at one-loop level in a generalized CHY form. We also apply our method to fully evaluate the one-loop five-point amplitude in the maximally supersymmetric Yang-Mills theory; the final result is identical to the one obtained by Q-Cut.
Ämnesord
- NATURVETENSKAP -- Fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences (hsv//eng)
Nyckelord
- Scattering Amplitudes
- Differential and Algebraic Geometry
- Extended Supersymmetry
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- art (ämneskategori)
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