The Littlest Higgs

The Littlest Higgs

17 Jun 2002 | N. Arkani-Hamed, A.G. Cohen, E. Katz, A.E. Nelson
The paper presents an economical theory of natural electroweak symmetry breaking, based on deconstruction. This theory is the smallest extension of the Standard Model to date that stabilizes the electroweak scale with a naturally light Higgs and weakly coupled new physics at TeV energies. The Higgs is one of a set of pseudo Goldstone bosons in an SU(5)/SO(5) nonlinear sigma model. The symmetry breaking scale f is around a TeV, with the cutoff Λ ≲ 4πf ≈ 10 TeV. A single electroweak doublet, the "little Higgs", is automatically much lighter than the other pseudo Goldstone bosons. The quartic self-coupling for the little Higgs is generated by the gauge and Yukawa interactions with a natural size O(g², λ_t²), while the top Yukawa coupling generates a negative mass squared triggering electroweak symmetry breaking. Beneath the TeV scale the effective theory is simply the minimal Standard Model. The new particle content at TeV energies consists of one set of spin one bosons with the same quantum numbers as the electroweak gauge bosons, an electroweak singlet quark with charge 2/3, and an electroweak triplet scalar. One loop quadratically divergent corrections to the Higgs mass are cancelled by interactions with these additional particles. The model is based on an SU(5)/SO(5) nonlinear sigma model, which provides a framework for electroweak symmetry breaking with a light Higgs. The model includes a triplet scalar, which acquires a TeV scale mass at one loop from gauge interactions. The Higgs quartic self-coupling arises from integrating out this massive triplet. The model is economical, with only the minimal Standard Model plus a few additional particles. The model is tested against precision electroweak data and is found to be consistent with the Standard Model. The model is also tested against flavor changing neutral currents and is found to be consistent with the Standard Model. The model is also tested against UV completions and is found to be consistent with the Standard Model. The model is the simplest example in a new class of theories of natural electroweak symmetry breaking. The model is also tested against the idea of dynamical electroweak symmetry breaking and is found to be consistent with the Standard Model. The model is also tested against the idea of supersymmetry and is found to be consistent with the Standard Model. The model is also tested against the idea of extra dimensions and is found to be consistent with the Standard Model. The model is also tested against the idea of technicolor and is found to be consistent with the Standard Model. The model is also tested against the idea of composite Higgs and is found to be consistent with the Standard Model. The model is also tested against the idea of composite technicolor andThe paper presents an economical theory of natural electroweak symmetry breaking, based on deconstruction. This theory is the smallest extension of the Standard Model to date that stabilizes the electroweak scale with a naturally light Higgs and weakly coupled new physics at TeV energies. The Higgs is one of a set of pseudo Goldstone bosons in an SU(5)/SO(5) nonlinear sigma model. The symmetry breaking scale f is around a TeV, with the cutoff Λ ≲ 4πf ≈ 10 TeV. A single electroweak doublet, the "little Higgs", is automatically much lighter than the other pseudo Goldstone bosons. The quartic self-coupling for the little Higgs is generated by the gauge and Yukawa interactions with a natural size O(g², λ_t²), while the top Yukawa coupling generates a negative mass squared triggering electroweak symmetry breaking. Beneath the TeV scale the effective theory is simply the minimal Standard Model. The new particle content at TeV energies consists of one set of spin one bosons with the same quantum numbers as the electroweak gauge bosons, an electroweak singlet quark with charge 2/3, and an electroweak triplet scalar. One loop quadratically divergent corrections to the Higgs mass are cancelled by interactions with these additional particles. The model is based on an SU(5)/SO(5) nonlinear sigma model, which provides a framework for electroweak symmetry breaking with a light Higgs. The model includes a triplet scalar, which acquires a TeV scale mass at one loop from gauge interactions. The Higgs quartic self-coupling arises from integrating out this massive triplet. The model is economical, with only the minimal Standard Model plus a few additional particles. The model is tested against precision electroweak data and is found to be consistent with the Standard Model. The model is also tested against flavor changing neutral currents and is found to be consistent with the Standard Model. The model is also tested against UV completions and is found to be consistent with the Standard Model. The model is the simplest example in a new class of theories of natural electroweak symmetry breaking. The model is also tested against the idea of dynamical electroweak symmetry breaking and is found to be consistent with the Standard Model. The model is also tested against the idea of supersymmetry and is found to be consistent with the Standard Model. The model is also tested against the idea of extra dimensions and is found to be consistent with the Standard Model. The model is also tested against the idea of technicolor and is found to be consistent with the Standard Model. The model is also tested against the idea of composite Higgs and is found to be consistent with the Standard Model. The model is also tested against the idea of composite technicolor and
Reach us at info@study.space
[slides and audio] The Littlest Higgs