4.4 Article

Double copy for massive scalar field theories

期刊

JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 8, 页码 -

出版社

SPRINGER
DOI: 10.1007/JHEP08(2022)098

关键词

Scattering Amplitudes; Sigma Models; Gauge Symmetry; Space-Time Symmetries

资金

  1. US Department of Energy (HEP) [DE-SC0013528]
  2. NASA ATP grant [80NSSC18K0694]
  3. STFC [ST/P000762/1, ST/T000791/1]
  4. European Union [724659]

向作者/读者索取更多资源

We explore the application of the double copy to massive theories and discover a new cubic theory with a local double copy. By reducing the nonlinear Sigma model and the special Galileon theory from five dimensions to four, we establish a double copy relation between the resulting massive scalar field theories. We also find a new cubic interaction that satisfies the BCJ relations up to 5-point amplitudes.
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.

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