Double copy for massive scalar field theories

Journal Article · 08 August 2022 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep08(2022)098 · OSTI ID:1976510

González, Mariana Carrillo ^[1]; Liang, Qiuyue  ^[2]; Trodden, Mark ^[2]

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1. Imperial College, London (United Kingdom); Univ. of Pennsylvania, Philadelphia, PA (United States)
2. University of Pennsylvania, Philadelphia, PA (United States)

We explore extensions of the double copy to massive theories and find a new cubic theory with a local double copy. We consider the nonlinear sigma model and the special galileon theory, massless versions of which are known to be related through the double copy. We show that by performing a Kaluza-Klein reduction of these theories from five dimensions down to four, a double copy relation exists between the resulting massive four-dimensional scalar field theories. This requires the vanishing contribution of new galileon terms arising in high dimensions. We further explore if other interactions that do not arise from a dimensional reduction of the nonlinear sigma model could be double copied and find a new cubic interaction which satisfies the BCJ relations up to 5-point amplitudes.

• Research Organization: University of Pennsylvania, Philadelphia, PA (United States)
• Sponsoring Organization: European Union’s Horizon 2020 Research Council; National Aeronautics and Space Administration (NASA); Science and Technology Facilities Council (STFC); USDOE Office of Science (SC), High Energy Physics (HEP)
• Grant/Contract Number: SC0013528
• OSTI ID: 1976510
• Journal Information: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 8 Vol. 2022; ISSN 1029-8479
• Publisher: Springer NatureCopyright Statement
• Country of Publication: United States
• Language: English