scholarly journals Neutrino sector with Majorana mass terms and Friedberg-Lee symmetry

2008 ◽  
Vol 77 (7) ◽  
Author(s):  
C. Jarlskog
Keyword(s):  
Neutrino Sector ◽  
Majorana Mass ◽  
Mass Terms

scholarly journals Feynman rules for Weyl spinors with mixed Dirac and Majorana mass terms

2016 ◽  
Vol 56 (3) ◽  
pp. 149-163
Author(s):  
Vytautas Dūdėnas ◽  
Thomas Gajdosik
Keyword(s):  
Path Integral ◽  
Tree Level ◽  
Fermion Propagator ◽  
Weyl Spinor ◽  
Majorana Mass ◽  
Basic Formalism ◽  
Feynman Rules ◽  
Mass Terms ◽  
Level Analysis

We present a basic formalism for using the Weyl spinor notation in Feynman rules. We focus on Weyl spinors with mixed Dirac and Majorana mass terms. To clarify the definitions we derive the Feynman rules from the path integral and present two examples: loop corrections for a fermion propagator and a tree level analysis of a seesaw toy model.

scholarly journals Synthesis of Majorana mass terms in low-energy quantum systems

2018 ◽  
Vol 20 (6) ◽  
pp. 063032
Author(s):  
L Lepori ◽  
A Celi ◽  
A Trombettoni ◽  
M Mannarelli
Keyword(s):  
Quantum Systems ◽  
Low Energy ◽  
Majorana Mass ◽  
Mass Terms ◽  
Energy Quantum

scholarly journals Bulk Majorana mass terms and Dirac neutrinos in the Randall-Sundrum model

2013 ◽  
Vol 88 (7) ◽  
Author(s):  
Abhishek M. Iyer ◽  
Sudhir K. Vempati
Keyword(s):  
Majorana Mass ◽  
Mass Terms

NEUTRINO COUNTING WITH ONE (OR MORE) RIGHT-HANDED MAJORANA NEUTRINO

1990 ◽  
Vol 05 (24) ◽  
pp. 1933-1940 ◽  
Author(s):  
XUEQIAN LI ◽  
ZHIJIAN TAO
Keyword(s):  
Majorana Neutrino ◽  
Fourth Generation ◽  
Majorana Mass ◽  
Generation Number ◽  
Mass Terms ◽  
Normal Formula

The recent data of ALEPH and L3 collaborations seem to indicate that the generation number is likely to be three based on the normal formula. However, we show that if one or several SU(2) singlet heavy neutrinos with both the Dirac and Majorana mass terms exist, mixing with light neutrinos can cause some variations in the neutrino counting formulation and the results imply that if the extra neutrinos are very heavy, the fourth generation is not ruled out by the present data.

scholarly journals $$ \mathcal{N} $$ = 1 QED in 2 + 1 dimensions: dualities and enhanced symmetries

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Francesco Benini ◽  
Sergio Benvenuti
Keyword(s):  
Fixed Points ◽  
Three Dimensional ◽  
Global Symmetry ◽  
Mass Terms

Abstract We consider three-dimensional sQED with 2 flavors and minimal supersymmetry. We discuss various models which are dual to Gross-Neveu-Yukawa theories. The U(2) ultraviolet global symmetry is often enhanced in the infrared, for instance to O(4) or SU(3). This is analogous to the conjectured behaviour of non-supersymmetric QED with 2 flavors. A perturbative analysis of the Gross-Neveu-Yukawa models in the D = 4 − ε expansion shows that the U(2) preserving superpotential deformations of the sQED (mod- ulo tuning mass terms to zero) are irrelevant, therefore the fixed points with enhanced symmetry are stable. We also construct an example of $$ \mathcal{N} $$ N = 2 sQED with 4 flavors that exhibits enhanced SO(6) symmetry.

scholarly journals Chiral anomaly in SU(2)R-axion inflation and the new prediction for particle cosmology

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
Azadeh Maleknejad
Keyword(s):  
Standard Model ◽  
Symmetry Breaking ◽  
Particle Physics ◽  
Cosmological Parameters ◽  
Chiral Anomaly ◽  
Dark Matter Candidate ◽  
Neutrino Sector ◽  
Matter Creation ◽  
The Standard Model ◽  
Non Gaussian

Abstract Upon embedding the axion-inflation in the minimal left-right symmetric gauge extension of the SM with gauge group SU(2)L × SU(2)R × U(1)B−L, [1] proposed a new particle physics model for inflation. In this work, we present a more detailed analysis. As a compelling consequence, this setup provides a new mechanism for simultaneous baryogenesis and right-handed neutrino creation by the chiral anomaly of WR in inflation. The lightest right-handed neutrino is the dark matter candidate. This setup has two unknown fundamental scales, i.e., the scale of inflation and left-right symmetry breaking SU(2)R × U(1)B−L→ U(1)Y. Sufficient matter creation demands the left-right symmetry breaking scale happens shortly after the end of inflation. Interestingly, it prefers left-right symmetry breaking scales above 1010 GeV, which is in the range suggested by the non-supersymmetric SO(10) Grand Unified Theory with an intermediate left-right symmetry scale. Although WR gauge field generates equal amounts of right-handed baryons and leptons in inflation, i.e. B − L = 0, in the Standard Model sub-sector B − LSM ≠ 0. A key aspect of this setup is that SU(2)R sphalerons are never in equilibrium, and the primordial B − LSM is conserved by the Standard Model interactions. This setup yields a deep connection between CP violation in physics of inflation and matter creation (visible and dark); hence it can naturally explain the observed coincidences among cosmological parameters, i.e., ηB ≃ 0.3Pζ and ΩDM ≃ 5ΩB. The new mechanism does not rely on the largeness of the unconstrained CP-violating phases in the neutrino sector nor fine-tuned masses for the heaviest right-handed neutrinos. The SU(2)R-axion inflation comes with a cosmological smoking gun; chiral, non-Gaussian, and blue-tilted gravitational wave background, which can be probed by future CMB missions and laser interferometer detectors.

scholarly journals CONFORMAL HOUSE

2010 ◽  
Vol 25 (24) ◽  
pp. 4603-4621 ◽  
Author(s):  
THOMAS A. RYTTOV ◽  
FRANCESCO SANNINO
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Gauge Group ◽  
Gauge Theories ◽  
Simultaneous Presence ◽  
Consistency Check ◽  
Effective Lagrangian ◽  
Anomalous Dimensions ◽  
Mass Terms

We investigate the gauge dynamics of nonsupersymmetric SU (N) gauge theories featuring the simultaneous presence of fermionic matter transforming according to two distinct representations of the underlying gauge group. We bound the regions of flavors and colors which can yield a physical infrared fixed point. As a consistency check we recover the previously investigated bounds of the conformal windows when restricting to a single matter representation. The earlier conformal windows can be imagined to be part now of the new conformal house. We predict the nonperturbative anomalous dimensions at the infrared fixed points. We further investigate the effects of adding mass terms to the condensates on the conformal house chiral dynamics and construct the simplest instanton induced effective Lagrangian terms.

scholarly journals The chemistry of substances and the philosophy of mass terms

Synthese ◽  
1986 ◽  
Vol 69 (3) ◽  
pp. 291-324 ◽  
Author(s):  
J. Van Brakel
Keyword(s):  
Mass Terms

UNDERSTANDING FUJIKAWA REGULATORS FROM PAULI-VILLARS REGULARIZATION OF GHOST LOOPS

1989 ◽  
Vol 04 (15) ◽  
pp. 3959-3982 ◽  
Author(s):  
A. DIAZ ◽  
W. TROOST ◽  
P. VAN NIEUWENHUIZEN ◽  
A. Van PROEYEN
Keyword(s):  
Gravitational Field ◽  
Bosonic String ◽  
Ghost Number ◽  
Two Dimensional ◽  
Mass Terms ◽  
Brst Invariance ◽  
Villars Regularization

We construct mass terms for the ghost and antighost in the bosonic string which preserve coordinate BRST invariance. This allows us to compute the Weyl and ghost number anomalies with Pauli-Villars regularization. An algorithm is derived for the construction of those regulators in the Fujikawa scheme which yield consistent anomalies. In the formulation with the BRST auxiliary fields we find that the nonpropagating two-dimensional gravitational field must be regulated in the same way as the antighost. It contributes the same amount to the anomaly as the antighosts do when one eliminates the auxiliary fields.

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