Abstract:Quantization and renormalization of the left right symmetric model is the main purpose of the paper. First the model at tree level with a Higgs sector containing one bidoublet and two triplets is precisely discussed. Then the canonical quantization and Faddeev Popov Lagrangian are carried out ('t Hooft gauge). The BRST symmetry is discussed. Subsequently the on-mass-shell renormalization is performed and, as a test of consistency, the renormalization of the ZN i N j vertex is analyzed.
“…2 show a higher concentration of models around M GUT ∼ 10 15 GeV and M LR ∼ 10 13 GeV. This is probably due to the fact that the SM gauge couplings naturally run towards each other around 10 15 GeV, and a small number (N ≤ 5) of exotic representations (some of them may be singlets) cannot easily bend the RGEs significantly away from that pattern.…”
Section: Resultsmentioning
confidence: 97%
“…As a first approach, we will take the two-step breaking from SOð10Þ with the left-right symmetry group SUð3Þ C × SUð2Þ L × SUð2Þ R × Uð1Þ B−L at an intermediate scale, because some of its minimal realizations have been analyzed extensively in the literature, see e.g. [11][12][13]28,[40][41][42][43][44][45][46][47][48][49][50][51][52][53][54][55][56][57]. Other two-step breaking chains, such as those that go through SUð5Þ, may lead to similar situations with added difficulties such as three-way gauge coupling unification and rapid proton decay.…”
Section: Soð10þ With Intermediate Left-right Symmetrymentioning
confidence: 99%
“…In the present work, we focus on a specific gauge breaking chain, [1,[11][12][13][14][15] that is subsequently broken to the SM at M LR < M GUT . We consider a nonsupersymmetric SOð10Þ realization.…”
Grand unified theories (GUTs) are a very well motivated extensions of the Standard Model (SM), but the landscape of models and possibilities is overwhelming, and different patterns can lead to rather distinct phenomenologies. In this work we present a way to automatize the model building process, by considering a top to bottom approach that constructs viable and sensible theories from a small and controllable set of inputs at the high scale. By providing a GUT scale symmetry group and the field content, possible symmetry breaking paths are generated and checked for consistency, ensuring anomaly cancellation, SM embedding and gauge coupling unification. We emphasize the usefulness of this approach for the particular case of a nonsupersymmetric SO(10) model with an intermediate left-right symmetry, and we analyze how low-energy observables such as proton decay and lepton flavor violation might affect the generated model landscape.
“…2 show a higher concentration of models around M GUT ∼ 10 15 GeV and M LR ∼ 10 13 GeV. This is probably due to the fact that the SM gauge couplings naturally run towards each other around 10 15 GeV, and a small number (N ≤ 5) of exotic representations (some of them may be singlets) cannot easily bend the RGEs significantly away from that pattern.…”
Section: Resultsmentioning
confidence: 97%
“…As a first approach, we will take the two-step breaking from SOð10Þ with the left-right symmetry group SUð3Þ C × SUð2Þ L × SUð2Þ R × Uð1Þ B−L at an intermediate scale, because some of its minimal realizations have been analyzed extensively in the literature, see e.g. [11][12][13]28,[40][41][42][43][44][45][46][47][48][49][50][51][52][53][54][55][56][57]. Other two-step breaking chains, such as those that go through SUð5Þ, may lead to similar situations with added difficulties such as three-way gauge coupling unification and rapid proton decay.…”
Section: Soð10þ With Intermediate Left-right Symmetrymentioning
confidence: 99%
“…In the present work, we focus on a specific gauge breaking chain, [1,[11][12][13][14][15] that is subsequently broken to the SM at M LR < M GUT . We consider a nonsupersymmetric SOð10Þ realization.…”
Grand unified theories (GUTs) are a very well motivated extensions of the Standard Model (SM), but the landscape of models and possibilities is overwhelming, and different patterns can lead to rather distinct phenomenologies. In this work we present a way to automatize the model building process, by considering a top to bottom approach that constructs viable and sensible theories from a small and controllable set of inputs at the high scale. By providing a GUT scale symmetry group and the field content, possible symmetry breaking paths are generated and checked for consistency, ensuring anomaly cancellation, SM embedding and gauge coupling unification. We emphasize the usefulness of this approach for the particular case of a nonsupersymmetric SO(10) model with an intermediate left-right symmetry, and we analyze how low-energy observables such as proton decay and lepton flavor violation might affect the generated model landscape.
“…Many SM extensions predict additional interactions that contribute to muon decay and generate the effective Lagrangian presented above (see, e.g., [6,7,8]). Another reason for choosing this type of Lagrangian is that it is the only type of interaction where for Majorana neutrinos with negligible mass, scalar and SM vector amplitudes interfere even in the limit of the electron mass going to zero 1 , giving the opportunity for leading order effects [9].…”
Section: Oscillation Of Dirac and Majorana Neutrinosmentioning
We analyse the possibility of distinguishing Dirac and Majorana neutrinos in future neutrino factory experiments in which neutrinos are produced in muon decay when, in addition to a vector type as in the SM, there are also scalar interactions. We check this possibility in an experiment with a near detector, where the observed neutrinos do not oscillate, and in a far detector, after the neutrino oscillations. Neglecting higher-order corrections, even neutrino observation in the near detector does not give a chance to differentiate their character. However, this possibility appears in the leading-order after the neutrino oscillations observed in far detector.
“…It means that W 1 couples mainly to light neutrinos, while W 2 couples to the heavy ones. Z 1 and Z 2 turn out to couple to both of them [17,18]. W L − W R mixing is neglected here.…”
Despite many tests, even the Minimal Manifest Left-Right Symmetric Model (MLRSM) has never been ultimately confirmed or falsified. LHC gives a new possibility to test directly the most conservative version of left-right symmetric models at so far not reachable energy scales. If we take into account precise limits on the model which come from low energy processes, like the muon decay, possible LHC signals are strongly limited through the correlations of parameters among heavy neutrinos, heavy gauge bosons and heavy Higgs particles. To illustrate the situation in the context of LHC, we consider the "golden" process pp → e + N . For instance, in a case of degenerate heavy neutrinos and heavy Higgs masses at 15 TeV (in agreement with FCNC bounds) we get σ(pp → e + N ) > 10 fb at √ s = 14 TeV which is consistent with muon decay data for a very limited W 2 masses in the range (3008 GeV, 3040 GeV). Without restrictions coming from the muon data, W 2 masses would be in the range (1.0 TeV, 3.5 TeV). Influence of heavy Higgs particles themselves on the considered LHC process is negligible (the same is true for the light, SM neutral Higgs scalar analog). In the paper decay modes of the right-handed heavy gauge bosons and heavy neutrinos are also discussed. Both scenarios with typical see-saw lightheavy neutrino mixings and the mixings which are independent of heavy neutrino masses are considered. In the second case heavy neutrino decays to the heavy charged gauge bosons not necessarily dominate over decay modes which include only light, SM-like particles.
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