Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 12, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP12(2011)097
Keywords
Supersymmetric gauge theory; Extended Supersymmetry; Spontaneous Symmetry Breaking; Field Theories in Higher Dimensions
Categories
Funding
- NSF [PHY-0907744, PHY-0953232, PHY-0756966, AST-0807444]
- US Department of Energy [DE-FG02-95ER 40899, DE-FG02-90ER40542]
- Institute for Advanced Study (DOE) [DE-FG02-90ER40542]
- Institute for Advanced Study
- Division Of Physics
- Direct For Mathematical & Physical Scien [0953232] Funding Source: National Science Foundation
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We initiate a systematic study of amplitudes with massive external particles on the Coulomb-branch of N = 4 super Yang Mills theory: 1) We propose that (multi-) soft-scalar limits of massless amplitudes at the origin of moduli space can be used to determine Coulomb-branch amplitudes to leading order in the mass. This is demonstrated in numerous examples. 2) We find compact explicit expressions for several towers of tree-level amplitudes, including scattering of two massive W-bosons with any number of positive helicity gluons, valid for all values of the mass. 3) We present the general structure of superamplitudes on the Coulomb branch. For example, the n-point MHV-band superamplitude is proportional to a Grassmann polynomial of mixed degree 4 to 12, which is uniquely determined by supersymmetry. We find explicit tree-level superamplitudes for this MHV band and for other simple sectors of the theory. 4) Dual conformal generators are constructed, and we explore the dual conformal properties of the simplest massive amplitudes. Our compact expressions for amplitudes and superamplitudes should be of both theoretical and phenomenological interest; in particular the tree-level results carry over to truncations of the theory with less supersymmetry.
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