期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 2, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP02(2019)165
关键词
Beyond Standard Model; Effective Field Theories; Space-Time Symmetries
资金
- Israel Science Foundation [720/15]
- United-States-Israel Binational Science Foundation (BSF) [2014397]
- ICORE Program of the Israel Planning and Budgeting Committee [1937/12]
- [NSF-PHY-1607611]
We use on-shell methods to calculate tree-level effective field theory (EFT) amplitudes, with no reference to the EFT operators. Lorentz symmetry, unitarity and Bose statistics determine the allowed kinematical structures. As a by-product, the number of independent EFT operators simply follows from the set of polynomials in the Mandelstam invariants, subject to kinematical constraints. We demonstrate this approach by calculating several amplitudes with a massive, SM-singlet, scalar (h) or vector (Z') particle coupled to gluons. Specifically, we calculate hggg, hhgg and Z'ggg amplitudes, which are relevant for the LHC production and three-gluon decays of the massive particle. We then use the results to derive the massless-Z' amplitudes, and show how the massive amplitudes decompose into the massless-vector plus scalar amplitudes. Amplitudes with the gluons replaced by photons are straightforwardly obtained from the above.
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