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The Composite Nambu-Goldstone Higgs pp 229–270Cite as

Collider Phenomenology

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Part of the book series: Lecture Notes in Physics ((LNP,volume 913))

Abstract

In this chapter we focus on the phenomenology of the composite resonances. Due to their ubiquitous presence and their tight connection with the Higgs and Electro-Weak (EW) dynamics, these states are one of the primary targets to directly test the composite Higgs scenarios in collider experiments.

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Notes

  1. 1.

    In order to avoid confusion with the notation used for the composite states, we denote the embedding of the elementary fields in the fundamental SO(5) representation by \(q_{L}^{\mathbf{5}}\) and \(t_{R}^{\mathbf{5}}\), and not by Q L and T R as in the previous chapters. Later on we will adopt an analogous notation for the embedding in the 14.

  2. 2.

    The X 2∕3 can be the lightest resonance inside the fourplet due to level-repulsion effects if the singlet and fourplet are close in mass. In this case, however, the lightest charge 2∕3 state is not purely the X 2∕3, but contains a large admixture of the \(\tilde{T}\).

  3. 3.

    For simplicity in the following we will drop the prime in front of the T ′ and \(X_{2/3}^{{\prime}}\) resonances and we will denote them simply by T and X 2∕3.

  4. 4.

    For shortness we denote by Z 2∕3 the combination of states that mixes with the top and by Y 2∕3 and U 2∕3 the orthogonal ones.

  5. 5.

    The cross sections for pair and single production of top partners at the 8 and 13 TeV LHC can be found in [5].

  6. 6.

    See section “Discrete Symmetries” in Appendix in Chap. 3Beyond the Sigma-Model and section “The Custodial Symmetries” in Appendix in Chap. 7EW Precision Tests for a detailed discussion of the P LR symmetry and its implications.

  7. 7.

    Other corrections can arise from finite-mass effects due to the Z boson. These effects however are suppressed by \(m_{Z}^{2}/m_{\rho }^{2}\) and are negligible.

  8. 8.

    For shortness we do not report the explicit couplings of the resonances in the 9 multiplet. The explicit expressions for the leading couplings of these states can be found in [4].

  9. 9.

    Significant deviations from this estimate can appear if a light singlet is present or if the t R mixing is much larger than the t L one (\(y_{R} \gg y_{L}\)). In these cases the coupling follows the general estimate in Eq. (6.43).

  10. 10.

    One free parameter, namaly y L4 in the 5 + 5 model and y Lt in the 14 + 1, has been fixed by requiring the correct value of the top mass.

  11. 11.

    The interested reader can find a more detailed discussion in [4].

  12. 12.

    Notice that the assumption that \(\rho _{\mu }^{X}\) transforms as a gauge field does not imply any real constraint on its properties. In full generality one can define a shifted version of the \(\rho _{\mu }^{X}\) field, namely \(\rho _{\mu }^{{\prime}X} \equiv \rho _{\mu }^{X} - g_{0}^{{\prime}}B_{\mu }\), that is invariant under U(1) X and rewrite the effective Lagrangian in terms of the new field.

  13. 13.

    This situation is not uncommon in explicit models. For instance in the minimal scenarios all the top partners are charged under the U(1) X subgroup, thus we expect them to be coupled to vector fields with the quantum numbers of the \(\rho _{\mu }^{X}\) resonance.

  14. 14.

    See for instance [39] for a collider study of heavy gluons decaying to top partners.

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Authors and Affiliations

  1. IFAE, Universitat Autònoma de Barcelona, Barcelona, Spain

    Giuliano Panico

  2. Dipartimento di Fisica e Astronomia, Università di Padova, Padova, Italy

    Andrea Wulzer

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  1. Giuliano Panico
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  2. Andrea Wulzer
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Panico, G., Wulzer, A. (2016). Collider Phenomenology. In: The Composite Nambu-Goldstone Higgs. Lecture Notes in Physics, vol 913. Springer, Cham. https://doi.org/10.1007/978-3-319-22617-0_6

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