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Top quark induced effective potential in a composite Higgs model · Around

2015

Top quark induced effective potential in a composite Higgs model

Golterman, Maarten, Shamir, Yigal

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We consider non-perturbative aspects of a composite Higgs model that serves as a prototype for physics beyond the Standard Model, in which a new strongly interacting sector undergoes chiral symmetry breaking, and generates the Higgs particle as a pseudo Nambu-Goldstone boson.

In addition, the top quark couples linearly to baryons of the new strong sector, thereby becoming partially composite.
We study the dynamics leading to the top quark Yukawa coupling as well as the top quark contribution to the effective potential for the Higgs, obtaining expressions for these couplings in terms of baryonic correlation functions in the underlying strongly interacting theory.
We then show that a large-N limit exists in which the top quark contribution to the Higgs effective potential overcomes that of the weak gauge bosons, inducing electroweak symmetry breaking.

Built on

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M. E. Peskin, The alignment of the vacuum in theories of technicolor,
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L. H. Karsten and J. Smit, Lattice Fermions: Species Doubling, Chiral Invariance, and the Triangle Anomaly,
1981
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H. B. Nielsen and M. Ninomiya, Absence of Neutrinos on a Lattice. 1. Proof by Homotopy Theory,
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E. Witten, Some Inequalities Among Hadron Masses,
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D. B. Kaplan, Flavor at SSC energies: A New mechanism for dynamically generated fermion masses,
1991
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For a review, see M. Golterman, Lattice chiral gauge theories,
2001
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2012

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B. Bellazzini, C. Csáki and J. Serra, Composite Higgses,

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R. Contino, The Higgs as a Composite Nambu-Goldstone Boson,

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M. Golterman, Applications of chiral perturbation theory to lattice QCD,

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