Lorentz and CPT violation in the Higgs sector

Anderson, David L.; Sher, Marc; Turan, İsmail

doi:10.1103/physrevd.70.016001

Cited by 95 publications

(116 citation statements)

References 54 publications

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“…In fact, in [13] the experimental bounds on the LV-parameters in the Higgs sector are indirectly obtained by evaluating the photon vacuum polarization at one-loop and comparing the obtained results with the experimental bounds on the k F -term. As (5) shows, the photon-Higgs coupling in the hypercharge term is ∼ cos θ W , while in the W 3 -term it is ∼ sin θ W , which leads to ( |k φB | |k φW | ) Exp.…”

Section: Lorentz Violating Coefficientsmentioning

confidence: 99%

Lorentz violation in the Higgs sector and the noncommutative standard model

2013

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The noncommutative standard model apparently violates the Lorentz symmetry. We compare the Lorentz violating terms in the Higgs sector of the noncommutative standard model with their counterparts in the standard model extension. We show that the Lorentz violating parameters in the Higgs sector can be expressed directly in terms of the noncommutative parameter without any background field. The absence of the background field enhances the obtained bounds on the noncommutative parameter from the standard model extension.

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Section: Lorentz Violating Coefficientsmentioning

confidence: 99%

Lorentz violation in the Higgs sector and the noncommutative standard model

2013

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“…For example, power-counting renormalizability, translational invariance, and the usual gauge symmetries are commonly imposed. This "minimal SME" has provided the basis for a number of investigations of Lorentz and CPT breakdown involving mesons [11], baryons [12,13,14], electrons [15,16,17], photons [18], muons [19], and the Higgs sector [20]. An analysis involving the gravity sector has recently also been performed [21].…”

Section: The Standard-model Extensionmentioning

confidence: 99%

Quantum-gravity phenomenology, Lorentz symmetry, and the SME

Lehnert¹

2007

AIP Conference Proceedings

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Abstract. Violations of spacetime symmetries have recently been identified as promising signatures for physics underlying the Standard Model. The present talk gives an overview over various topics in this field: The motivations for spacetime-symmetry research, including some mechanisms for Lorentz breaking, are reviewed. An effective field theory called the Standard-Model Extension (SME) for the description of the resulting low-energy effects is introduced, and some experimental tests of Lorentz and CPT invariance are listed.

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“…2 The role of Lorentz and CPT symmetry breaking terms in the scalar sector of SME was widely studied in the flat spacetime limit. The first bounds on the symmetrybreaking terms for the Higgs field were obtained in [31], and quantum loops effects were considered in Refs. [32][33][34][35][36].…”

Section: Derivation Of One-loop Divergencesmentioning

confidence: 99%

One-loop renormalization of Lorentz and CPT -violating scalar field theory in curved spacetime

Netto

2018

Phys. Rev. D

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The one-loop divergences for the scalar field theory with Lorentz and/or CPT breaking terms are obtained in curved spacetime. We analyze two separate cases: a minimal coupled scalar field with gravity and a nonminimal one. For the minimal case with a real scalar field, the counterterms are evaluated in a nonperturbative form in the CPT-even parameter through a redefinition of a space-time metric. In the most complicated case of a complex scalar field nonminimally interacting with gravity, the solution for the divergences is obtained in the first order in the weak Lorentz violating parameter. The necessary form of the vacuum counterterms indicate the most important structures of Lorentz and CPT violations in the pure gravitational sector of the theory. The conformal theory limit is also analyzed. It turns out that if we allow the violating fields to transform, the classical conformal invariance of massless scalar fields can be maintained in the ξ ¼ 1=6 case. At a quantum level, the conformal symmetry is violated by a trace anomaly. As a result, the conformal anomaly and the anomaly induced effective action are evaluated in the presence of extra Lorentz-and/or CPT-violating parameters. Such gravitational effective action is important for cosmological applications and can be used for searching of Lorentz violation in the primordial Universe in the cosmological perturbations, especially gravitational waves.

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Lorentz and CPT violation in the Higgs sector

Cited by 95 publications

References 54 publications

Lorentz violation in the Higgs sector and the noncommutative standard model

Lorentz violation in the Higgs sector and the noncommutative standard model

Quantum-gravity phenomenology, Lorentz symmetry, and the SME

One-loop renormalization of Lorentz and CPT -violating scalar field theory in curved spacetime

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