Double Copy in Higher Derivative Operators of Nambu-Goldstone Bosons
arXiv:2009.00008 · doi:10.1103/PhysRevD.103.025004
Abstract
We investigate the existence of double copy structure, or the lack thereof, in higher derivative operators for Nambu-Goldstone bosons. At the leading , tree amplitudes of Nambu-Goldstone bosons in the adjoint representation can be (trivially) expressed as the double copy of itself and the cubic bi-adjoint scalar theory, through the Kawai-Lewellen-Tye bilinear kernel. At the next-to-leading there exist four operators in general, among which we identify one operator whose amplitudes exhibit the flavor-kinematics duality and can be written as the double copy of Nambu-Goldstone amplitudes and the Yang-Mills+ theory, involving both gluons and gauged cubic bi-adjoint scalars. The specific operator turns out to coincide with the scalar operator in the so-called extended Dirac-Born-Infeld theory, for which the aforementioned double copy relation holds more generally.
26 pages + appendices, 4 figures; typos fixed in v3
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