Neutrino propagation in noncommutative spacetimes

Horvat, R.; Ilakovac, Amon; Schupp, Peter; Trampetić, Josip; You, Jiangyang

doi:10.1007/jhep04(2012)108

Cited by 37 publications

(80 citation statements)

References 68 publications

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“…In the subsection B, we use a generalized NCSM as proposed in Ref. [22], where the massive neutrinos and the photon-neutrino interaction is incorporated.…”

Section: Hybrid Gauge Transformation In Nc Gauge Theories a Hybrmentioning

confidence: 99%

“…Recently, the so-called θ exact Seiberg-Witten maps involving all orders of the NC parameter θ have been obtained by directly solving the gauge equivalence relation [22,24,25] or using the recursive formation of the Seiberg-Witten map [15]. Here, we just list the results given in Ref.…”

Section: B Hybrid Gauge Transformation In Noncommutative Standard Modelmentioning

confidence: 99%

“…This means we have to accept the photon-neutrino interaction at the cost of ruling out the popular seesaw mechanisms [20,21] that successfully generates Dirac neutrinos with small mass scale in the standard model and Majorana neutrinos with the GUT mass scale. In a recent work [22], the authors showed that the difficulty presented in Ref. [19] can be overcome by appropriately generalizing the NC gauge transformation and SWM to a hybrid formation.…”

Section: Introductionmentioning

confidence: 99%

“…The authors in Ref. [22] derived the Feynman rules of photon-neutrino interaction and Z boson-neutrino interaction in the NCSM incorporated with type I seesaw mechanism.…”

Section: Introductionmentioning

confidence: 99%

“…Then, we briefly review the NCSM incorporated with massive neutrino and neutrino-photon interaction given in Ref. [22]. The relevant Feynman rules involving all orders of the NC parameter θ are derived.…”

Section: Introductionmentioning

confidence: 99%

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TeV scale phenomenology ofe+e−→μ+μ−scattering in the noncommutative standard model with hybrid gauge transformati

2012

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The hybrid gauge transformation and its nontrivial phenomenological implications are investigated using the noncommutative gauge theory with the Seiberg-Witten map expanded scenario. Particularly, the e + e − → µ + µ − process is studied with a generalized noncommutative standard model (NCSM) including massive neutrinos and neutrino-photon interaction. In this model, the hybrid gauge transformation in the lepton sector is naturally introduced through the requirement of gauge invariance of the seesaw neutrino mass term.It is shown that in the NCSM without hybrid gauge transformation the noncommutative correction to the scattering amplitude of the e + e − → µ + µ − process appears only as a phase factor, predicting no new physical deviation in the cross section. However, when the hybrid feature is considered, the noncommutative effect appears in the single channel process. The cross section and angular distribution are analyzed in the laboratory frame including Earth's rotation. It is proposed that pair production of muons in the upcoming TeV International Linear Collider (ILC) can provide an ideal opportunity for exploring not only the NC space-time, but also the mathematical structure of the corresponding gauge theory.

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“…In the subsection B, we use a generalized NCSM as proposed in Ref. [22], where the massive neutrinos and the photon-neutrino interaction is incorporated.…”

Section: Hybrid Gauge Transformation In Nc Gauge Theories a Hybrmentioning

confidence: 99%

Section: B Hybrid Gauge Transformation In Noncommutative Standard Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…The authors in Ref. [22] derived the Feynman rules of photon-neutrino interaction and Z boson-neutrino interaction in the NCSM incorporated with type I seesaw mechanism.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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TeV scale phenomenology ofe+e−→μ+μ−scattering in the noncommutative standard model with hybrid gauge transformati

2012

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Using an intense laser beam in interaction with muon/electron beam to probe the noncommutative QED

Tizchang¹,

Batebi²,

Haghighat³

et al. 2017

J. High Energ. Phys.

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It is known that the linearly polarized photons can partly transform to circularly polarized ones via forward Compton scattering in a background such as the external magnetic field or noncommutative space time. Based on this fact we explore the effects of the NC-background on the scattering of a linearly polarized laser beam from an intense beam of charged leptons. We show that for a muon/electron beam flux ε µ,e ∼ 10 12 /10 10 TeV cm −2 sec −1 and a linearly polarized laser beam with energy k 0 ∼1 eV and average powerP laser 10 3 KW, the generation rate of circularly polarized photons is about R V ∼ 10 4 /sec for noncommutative energy scale Λ NC ∼ 10 TeV. This is fairly large and can grow for more intense beams in near future.

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Inferring the covariant Θ-exact noncommutative coupling in the top quark pair production at linear colliders

Selvaganapathy

Konar

Das

2019

J. High Energ. Phys.

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A novel non-minimal interaction of neutral right-handed fermion and abelian gauge field in the covariant Θ-exact noncommutative standard model (NCSM) which is invariant under Very Special Relativity (VSR) Lorentz subgroup, opens an avenue to study the top quark pair production at linear colliders. Here the non-minimal coupling is denoted as κ and the noncommutative (NC) scale Λ. In this work, we consider two types of analysis, one is without considering helicity basis technique and another, considering helicity of the initial and final state particles. Further, the realistic electron and positron beam polarization are taken into account to measure the NC parameters. In the first case, when κ is positive and certain values of Λ, we found that a specific threshold value of machine energy (optimal energy in the units of GeV) √ s 0 ( 2.52 Λ + 39 ) may be quite useful to look for the signature of the spacetime noncommutativity with unpolarized beam. The statistical χ 2 analysis of the azimuthal anisotropy which is due to broken rotational invariance about the beam axis, is quite possible when κ takes negative value 0 > κ > −0.596 which persuade a lower limit on NC scale Λ (1.0 to 2.4 TeV) at κ max = −0.296 with 95% C.L according to luminosity ranging from 100 f b −1 to1000 f b −1 at machine energy √ s = 1.4 TeV and 3.0 TeV. In another case, we perform detailed analysis for the polarized and unpolarized electron-positron beam to probe spacetime noncommutativity in light of following observables like azimuthal anisotropy, helicity correlation, and top quark helicity left-right asymmetry. The polarization of the initial beam {P e − , P e + } = {−0.8, 0.3}({−0.8, 0.6}) enhances the ranges of lower limit on Λ, i.e. 1.13 to 2.80 TeV at κ max alongside the κ max enhanced into −0.5445 (−0.607) 95%C.L accord with luminosity and machine energy. Finally, we studied the intriguing mixing of the UV and the IR by invoking a specific structure of noncommutative antisymmetric tensor Θ µν which is invariant under translational T (2) VSR Lorentz subgroup.

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Neutrino propagation in noncommutative spacetimes

Cited by 37 publications

References 68 publications

TeV scale phenomenology ofe+e−→μ+μ−scattering in the noncommutative standard model with hybrid gauge transformati

TeV scale phenomenology ofe+e−→μ+μ−scattering in the noncommutative standard model with hybrid gauge transformati

Using an intense laser beam in interaction with muon/electron beam to probe the noncommutative QED

Inferring the covariant Θ-exact noncommutative coupling in the top quark pair production at linear colliders

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