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Dual conformal symmetry of 1-loop NMHV amplitudes in \( \mathcal{N} = 4 \) SYM theory

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Abstract

We prove that 1-loop n-point NMHV superamplitudes in \( \mathcal{N} = 4 \) SYM theory are dual conformal covariant for all numbers n of external particles (after regularization and subtraction of IR divergences). This property was previously established for n ≤ 9 in arXiv:0808.0491. We derive an explicit representation of these superamplitudes in terms of dual conformal cross-ratios. We also show that all the 1-loop ‘box coefficients’ obtained from maximal cuts of NkMHV n-point functions are covariant under dual conformal transformations.

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Authors and Affiliations

  1. School of Natural Sciences, Institute for Advanced Study, Princeton, NJ, 08540, U.S.A.

    Henriette Elvang

  2. Center for Theoretical Physics, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA, 02139, U.S.A.

    Daniel Z. Freedman & Michael Kiermaier

  3. Department of Mathematics, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA, 02139, U.S.A.

    Daniel Z. Freedman

Authors
  1. Henriette Elvang
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  2. Daniel Z. Freedman
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Correspondence to Henriette Elvang.

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ArXiv ePrint: 0905.4379

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Elvang, H., Freedman, D.Z. & Kiermaier, M. Dual conformal symmetry of 1-loop NMHV amplitudes in \( \mathcal{N} = 4 \) SYM theory. J. High Energ. Phys. 2010, 75 (2010). https://doi.org/10.1007/JHEP03(2010)075

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