Bound on noncommutative standard model with hybrid gauge transformation via lepton flavor conserving<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>Z</mml:mi></mml:math>decay

Wang, Weijian; Huang, Jia-Hui; Sheng, Zheng-Mao

doi:10.1103/physrevd.88.025031

Cited by 13 publications

(8 citation statements)

References 41 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…A detailed study on the photon-neutrino interaction and its related phenomenology can be found in [47,74]. One can derive the Feynman rule from the lepton action [73,[84][85][86] by using equation (2.10,2.11) and equation (2.1) as follows Photon-Fermion-Fermion interaction:…”

Section: Top Quark Pair Production In the Covariant θ-Exact Ncsmmentioning

confidence: 99%

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

Selvaganapathy

Konar

Das

2019

J. High Energ. Phys.

View full text Add to dashboard Cite

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.

show abstract

Section: Top Quark Pair Production In the Covariant θ-Exact Ncsmmentioning

confidence: 99%

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

Selvaganapathy

Konar

Das

2019

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…Furthermore, it is naturally formulated in a Lorentz covariant way. Hence, it was used in various quantum system, ranging form low energy atom physics [37] to the hight energy collision processes [50,50,51]. We will use the SW map to study the noncommutative corrections.…”

Section: Covariant Nonvommutative Ab Effectmentioning

confidence: 99%

Time-dependent Aharonov–Bohm effect on the noncommutative space

Wang

Yang

2016

Physics Letters B

View full text Add to dashboard Cite

We study the time-dependent Aharonov-Bohm effect on the noncommutative space. Because there is no net Aharonov-Bohm phase shift in the time-dependent case on the commutative space, therefore, a tiny deviation from zero indicates new physics. Based on the Seiberg-Witten map we obtain the gauge invariant and Lorentz covariant Aharonov-Bohm phase shift in general case on noncommutative space. We find there are two kinds of contribution: momentum-dependent and momentum-independent corrections. For the momentum-dependent correction, there is a cancellation between the magnetic and electric phase shifts, just like the case on the commutative space. However, there is a non-trivial contribution in the momentumindependent correction. This is true for both the time-independent and time-dependent Aharonov-Bohm effects on the noncommutative space. However, for the time-dependent Aharonov-Bohm effect, there is no overwhelming background which exists in the time-independent Aharonov-Bohm effect on both commutative and noncommutative space. Therefore, the time-dependent Aharonov-Bohm can be sensitive to the spatial noncommutativity. The net correction is proportional to the product of the magnetic fluxes through the fundamental area represented by the noncommutative parameter θ, and through the surface enclosed by the trajectory of charged particle. More interestingly, there is an anti-collinear relation between the logarithms of the magnetic field B and the averaged flux Φ/N (N is the number of fringes shifted). This nontrivial relation can also provide a way to test the spatial noncommutativity. For BΦ/N ∼ 1, our estimation on the experimental sensitivity shows that it can reach the 10GeV scale. This sensitivity can be enhanced by using stronger magnetic field strength, larger magnetic flux, as well as higher experimental precision on the phase shift.

show abstract

“…For the coordinate noncommutativity, it has been shown that the SW map [1] from the noncommmutative space to the ordinary one preserves the gauge symmetry and has been proven to be very useful in investigating various problems on noncommutative space [38,[53][54][55][56][57][58][59][60]. Therefore, we will use the SW map to study the noncommutative corrections induced by the nontrivial algebra in (1).…”

Section: Noncommutative Hamiltonianmentioning

confidence: 99%

Probing noncommutativities of phase space by using persistent charged current and its asymmetry

Ren

Wang

2018

Phys. Rev. D

View full text Add to dashboard Cite

Nontrivial algebra structures of the coordinate and momentum operators are potentially important for describing possible new physics. The persistent charged current in a metal ring is expected to be sensitive to the nontrivial dynamics due to noncommutativities of phase space. In this paper, we propose a new asymmetric observable for probing the noncommutativity of momentum operators. We also analyzed the temperature dependence of this observable, and we find that the asymmetry holds at a finite temperature. The critical temperature, above which the correction due to coordinate noncommutativity is negligible, is also derived.

show abstract

Bound on noncommutative standard model with hybrid gauge transformation via lepton flavor conservingZdecay

Cited by 13 publications

References 41 publications

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

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

Time-dependent Aharonov–Bohm effect on the noncommutative space

Probing noncommutativities of phase space by using persistent charged current and its asymmetry

Contact Info

Product

Resources

About