One-loop WLWLW_LW_L and ZLZLZ_LZ_L scattering from the electroweak Chiral Lagrangian with a light Higgs-like scalar

Nov 23, 2013
31 pages
Published in:
  • JHEP 02 (2014) 121
  • Published: 2014
e-Print:

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Abstract: (arXiv)
By including the recently discovered Higgs-like scalar φ\varphi in the Electroweak Chiral Lagrangian, and using the Equivalence Theorem, we carry out the complete one-loop computation of the elastic scattering amplitude for the longitudinal components of the gauge bosons V=W,ZV=W, Z at high energy. We also compute φφφφ\varphi\varphi \rightarrow \varphi\varphi and the inelastic process VVφφVV\rightarrow \varphi\varphi, and identify the counterterms needed to cancel the divergences, namely the well known a4a_4 and a5a_5 chiral parameters plus three additional ones only superficially treated in the literature because of their dimension 8. Finally we compute all the partial waves and discuss the limitations of the one-loop computation due to only approximate unitarity.
Note:
  • 28 pages, 19 plots, 9 Feynman-diagram sets This version revised and accepted in JHEP
  • Beyond Standard Model
  • Chiral Lagrangians
  • Spontaneous Symmetry Breaking
  • Scattering Amplitudes
  • effective Lagrangian: chiral
  • electroweak interaction
  • equivalence theorem
  • W: longitudinal
  • W W: scattering
  • Z0: longitudinal