arXiv subjects

Asan Damanik

Publications and source records attributed to Asan Damanik.

At least 19 recordsLinked to original sources

arXiv2017

Lagrangian for RLC circuits using analogy with the classical mechanics concepts

We study and formulate the Lagrangian for the LC, RC, RL, and RLC circuits by using the analogy concept with the mechanical problem in classical mechanics formulations. We found that the Lagrangian for the LC and RLC circuits are governed by two terms i. e. kinetic energy-like and potential energy-like terms. The Lagrangian for the RC circuit is only a contribution from the potential energy-like term and the Lagrangian for the RL circuit is only from the kinetic energy-like term.

physics.class-ph↗

arXiv2017

Neutrino Mass Sum-rule and Neutrinoless Double Beta Decay

Neutrino mass sum-rule is a very important research subject from theoretical side because neutrino oscillation experiment only gave us two squared-mass differences and three mixing angles. We review neutrino mass sum-rule in literature that have been reported by many authors and discuss its phenomenological implications especially on neutrino mass and neutrinoless double beta decay by plotting effective Majorana mass $\left $ as function of the lightest neutrino mass both for normal and inverted hierarchy by using the central values of reported mixing angles and reported squared-mass differences as input

physics.gen-ph↗

arXiv2017

Neutrino masses from a cobimaximal neutrino mixing matrix

Recently, we have a confidence that neutrino has a tiny mass and mixing does exist among neutrino flovors as one can see from experimental data that reported by many collaborations. Based on experimental data that flavor mixing does exist in neutrino sector which imply that all three mixing angles are nonzero, we derive the neutrino mass matrix from a cobimaximal neutrino mixing matrix. We also evaluate the prediction of neutrino mass matrix with texture zero from a cobimaximal neutrino mixing matrix on neutrino masses and effective Majorana mass. By using the advantages of experimental data, the obtained neutrino masses are $m_{1}=0.028188$ eV, $m_{2}=0.029488$ eV, and $m_{3}=0.057676$ eV, and the effective Majorana mass is $\left =0.09896$ eV that can be tested in future neutrinoless double beta decay experiments

physics.gen-ph↗

arXiv2016

Neutrino masses from an approximate mixing matrix with $θ_{13}\neq 0$

An approximate neutrino mixing matrix is formutated by using the standard neutrino mixing matrix as a basis and experimental data of neutrino oscillations as inputs. By using the resulted approximate neutrino mixing matrix to proceed the neutrino mass matrix and constraining the resulted neutrino mass matrix with zero texture: $M_ν(1,1)=M_ν(1,3)=M_ν(3,1)=0$, we can have neutrino masses as function of mixing angle $θ_{13}$ with normal hierarchy: $m_{1}<m_{2}<m_{3}$. By taking the central value of mixing angle $θ_{13}=9^{o}$ that gives $ε=0.16$ and using the squared mass difference: $Δm_{32}^{2}$ for normal hierarchy, we then obtained neutrino masses: $m_{1}=0.00847$ eV, $m_{2}=0.01215$ eV, and $m_{3}=0.05062$ eV which can predict the squared mass difference for solar neutrino precisely with the experimental result: $Δm_{21}^{2}=7.59\times 10^{-5}~{\rm eV^{2}}$

hep-ph↗

arXiv2015

Nonzero $θ_{13}$ and Neutrino Masses from the Modified Tribimaximal Neutrino Mixing Matrix

In order to accommodate nonzero and relatively large of mixing angle $θ_{13}$, we modified the tribimaximal mixing(TBM) matrix by introducing a simple perturbation matrix to perturb TBM matrix. The modified TBM can reproduce nonzero mixing angle $θ_{13}=7.9^{0}$ which is in agreement with the present experimental results. By imposing two zeros texture into the obtained neutrino mass matrix from modified TBM, we then have the neutrino mass spectrum in normal hierarchy. Some phenomenological implications are also discussed

hep-ph↗

arXiv2015

Nonzero $θ_{13}$ and CP violation from Broken $μ-τ$ Symmetry with $m_{1}=0$

Nonzero of mixing angle $θ_{13}$ has some phenomenological consequences on neutrino physics beyond the standard model. If the mixing angle $θ_{13}\neq 0$, then there is the possibility of the CP violation existence on the neutrino sector. To obtain a nonzero of mixing angle $θ_{13}$ from neutrino mass matrix obey $μ-τ$, we break it by introducing one small parameter $x$ into neutrino mass matrix and then calculated the Jarlskog invariant as a measure of CP violation existence using the reported experimental data as input and put $m_{1}=0$ for neutrino mass in normal hierarchy.

hep-ph↗

arXiv2015

Constraining Neutrino Mass Matrix from Modified BM with Softly Broken $μ-τ$ Symmetry

The bimaximal (BM) neutrino mixing matrix was formulated in order to accommodate the data of the experimental results which indicate that both solar and atmospheric neutrino oscillation in vacuum are near maximal. But, after the T2K and Daya Bay Collaborations reported that the mixing angle $θ_{13}$ is nonzero and relatively large, many authors have modified the neutrino mixing matrix in order to accommodate experimental data. We modified the BM mixing matrix by introducing a simple perturbation matrix into BM mixing matrix. The modified BM mixing matrix can proceed the mixing angles which are compatible with the globat fit analysis data and by imposing the $μ-τ$ symmetry into mass matrix from modified BM, we have the neutrino mass in normal hierarchy: $m_{1}<m_{2}<m_{3}$. Using the neutrino masses that obtained from neutrino mass matrix in the scheme of modified BM and imposing the constraint exact $μ-τ$ symmetry into neutrino mass matrix, we cannot have compatible squared-mass differences for both $Δm_{21}^{2}$ and $Δm_{32}^{2}$ as dictated by experimental results. We break softly the $μ-τ$ symmetry by introducing a small parameter $λ$ into neutrino mass matrix which then can proceed neutrino masses are in agreement with the squared mass difference as dictated by experimental results.The predicted neutrino effective mass: $\left|m_{ee}\right|=0.0155 {\rm eV}$ in this paper can be tested in the future neutrinoless double beta decay

hep-ph↗

arXiv2014

Nonzero $θ_{13}$ and CP Violation from Broken $μ-τ$ Symmetry

Nonzero and relatively large of $θ_{13}$ mixing angle has some phenomenological consequences on neutrino physics beyond the standard model. One of the consequences if the mixing angle $θ_{13}\neq 0$ is the possibility of the CP violation on the neutrino sector. In order to obtain nonzero $θ_{13}$ mixing angle, we break the neutrino mass matrix that obey $μ-τ$ symmetry by introducing a complex parameter and determine the Jarlskog invariant as a measure of CP violation existence. By using the experimental data as input, we determine the Dirac phase $δ$ as function of mixing angle $θ_{13}$

hep-ph↗

arXiv2014

$μ-τ$ Symmetry, Nonzero $θ_{13}$, and CP Violation

If we impose the $μ-τ$ symmetry, as a constraint into neutrino mass matrix, one find that the Jarlskog rephasing invariant: $J_{\rm CP}=0$ which implies that CP violation cannot be accommodated in the $μ-τ$ symmetry scheme. By introducing a small parameter $x$ that perturb the neutrino mass matrix with $μ-τ$ symmetry with trace of neutrino mass matrix remain constant, we can obtain $J_{CP}\neq 0$ and consequently $θ_{13}\neq 0$.

hep-ph↗

arXiv2014

General Neutrino Mass Matrix Patterns and Its Underlying Family Symmetries

Based on current experimental results, such as neutrino oscillations and the neutrinoless double beta decays (i.e. data from Super Kamiokande, KamLAND, SNO, etc.), the neutrino mixing matrix can be adequately determined. Though there are still certain parameters that have possibility limits, but based on the current experimental results it is possible to construct a general form of neutrino mass matrix. Starting from this general form of the neutrino mass matrix we put certain conditions in the context of the seesaw mechanism model to determine the possible pattern of the neutrino mass matrix that has a texture zero. From the obtained neutrino mass matrix pattern, there are three class of patterns, where two of the class are known to be realized in literature by the underlying family symmetries of the $D_{4}$ and $A_{4}$ groups, the dihedral and tetrahedral symmetry groups.

hep-ph↗

arXiv2013

Nonzero $θ_{13}$, CP Violation, and $μ-τ$ Symmetry

The nonzero and relatively large $θ_{13}$ from the latest experimental results have a serious implication on the well-known neutrino mixing matrix. One of the well-known mixing matrix is tribimaximal (TBM) neutrino mixing matrix which predict $θ_{13}=0$. In order to accommodate nonzero $θ_{13}$ and CP violation, we modified TBM by introducing a simple perturbation matrix into TBM matrix that can produces $θ_{13}=7.89$ which is in agreement with the present experimental results. The Dirac phase $δ=77.20^{o}$ and the Jarlskog rephasing invariant: $J_{\rm CP}\approx 0.044$ are also obtained. The obtained neutrino mass matrix from the modified TBM with both nonzero $θ_{13}$ and $δ$ is the complex neutrino mass matrix. If we impose the $μ-τ$ symmetry, as a constraint into neutrino mass matrix,one find that the Jarlskog rephasing invariant: $J_{\rm CP}=0$ which implies that CP violation cannot be accommodated in the $μ-τ$ symmetry scheme.

hep-ph↗

arXiv2012

Nonzero $θ_{13}$ and Neutrino Masses from Modified Neutrino Mixing Matrix

The nonzero and relatively large $θ_{13}$ have been reported by Daya Bay, T2K, MINOS, and Double Chooz Collaborations. In order to accommodate the nonzero $θ_{13}$, we modified the tribimaximal (TB), bimaxima (BM), and democratic (DC) neutrino mixing matrices. From three modified neutrino mixing matrices, two of them (the modified BM and DC mixing matrices) can give nonzero $θ_{13}$ which is compatible with the result of the Daya Bay and T2K experiments. The modified TB neutrino mixing matrix predicts the value of $θ_{13}$ greater than the upper bound value of the latest experimental results. By using the modified neutrino mixing matrices and impose an additional assumption that neutrino mass matrices have two zeros texture, we then obtain the neutrino mass in normal hierarchy when $(M_ν)_{22}=(M_ν)_{33}=0$ for the neutrino mass matrix from the modified TB neutrino mixing matrix and $(M_ν)_{11}=(M_ν)_{13}=0$ for the neutrino mass matrix from the modified DC neutrino mixing matrix. For these two patterns of neutrino mass matrices, either the atmospheric mass squared difference or the solar mass squared difference can be obtained, but not both of them simultaneously. From four patterns of two zeros texture to be considered on the obtained neutrino mass matrix from the modified BM neutrino mixing matrix, none of them can predict correctly neutrino mass spectrum (normal or inverted hierarchy).

hep-ph↗

arXiv2011

Perturbed invariant under a cyclic permutation with trace of neutrino mass matrix remain constant

We construct a neutrino mass matrix $M_ν$ via a seesaw mechanism whith perturbed invariant under a cyclic permutation by introducing one parameter $δ$ into the diagonal elements of $M_ν$ with assumption that trace of the perturbed $M_ν$ is equal to trace of the unperturbed $M_ν$. We found that the perturbed neutrino mass matrices $M_ν$ can predicts the mass-squared difference $Δm_{ij}^{2}\neq 0$ with the possible hierarchy of neutrino mass is normal or inverted hierarchy. By using the advantages of the mass-squared differences and mixing parameters data from neutrino oscillaton experiments, we obtained neutrino masses in inverted hierarchy with masses: $|m_{1}|=0.101023$ eV, $|m_{2}|=0.101428$ eV, and $|m_{3}|=0.084413$ eV.

hep-ph↗

arXiv2011

Probing Lepton Flavor Triality with Higgs Boson Decay

If neutrino tribimaximal mixing is explained by a non-Abelian discrete symmetry such as $A_4$, $T_7$, $Δ(27)$, etc., the charged-lepton Higgs sector has a $Z_3$ residual symmetry (lepton flavor triality), which may be observed directly in the decay chain $H^0 \to ψ_2^0 \barψ_2^0$, then $ψ_2^0 (\barψ_2^0) \to l_i^+ l_j^- ~(i \neq j)$, where $H^0$ is a standard-model-like Higgs boson and $ψ_2^0$ is a scalar particle needed for realizing the original discrete symmetry. If kinematically allowed, this unusual and easily detectable decay is observable at the LHC with 1 fb$^{-1}$ for E_{cm} = 7 TeV.

hep-ph↗

arXiv2010

Neutrino Masses via a Seesaw with Heavy Majorana and Dirac Neutrino Mass Matrices from Discrete Subgroup $Δ(27)$ of SU(3)

Neutrino mass matrix via a seesaw mechanism is constructed by assuming that the underlying symmetry of both heavy Majorana and Dirac mass matrices is the discrete subgroup $Δ(27)$ symmetry of SU(3). Using the experimental data of neutrino oscillation, the neutrino mass matrix exhibits maximal $ν_μ-ν_τ$ mixing and has a specific prediction on the effective neutrino mass in neutrinoless double beta decay which can be tested in future experiment.

hep-ph↗

arXiv2010

Neutrino Mass Matrix Subject to $μ-τ$ Symmetry and Invariant under a Cyclic Permutation

Neutrino masses arise via a seesaw mechanism and its mass hierarchy, with assumption that heavy Majorana neutrino mass matrix subject to $μ-τ$ symmetry and invariant under a cyclic permutation, are evaluated. Within this scenario, the neutrino masses: $\left|m_{1}\right|=\left|m_{2}\right|<\left|m_{3}\right|$ are obtained, which are incompatible with the experimental data. By modifying neutrino mass matrix with the zero sum rule condition, the neutrino masses in inverted hierarchy: $\left|m_{3}\right|<\left|m_{1}\right|<\left|m_{2}\right|$ are obtained.

hep-ph↗

arXiv2009

Left-Right Model of Electroweak Interaction with one Bidoublet and one Doublet Higgs Fields

We study the predictions of the left-right model of electroweak interaction based on $SU(2)_{L}\otimes SU(2)_{R}\otimes U(1)$ gauge group by using one bidoublet and one doublet Higgs fields. We can reproduce the low energy phenomenology of electroweak interaction by choosing the appropriate values of vacuum expectation values of Higgs fields. Leptons can obtain a mass via two scenarios, first via Higgs mechanism with non-zero 'hypercharge-like' $I$ in Lagrangian density mass termms and put the Yukawa couplings $G_{l}>>G_{l}^{*}$, and the second via Higgs mechanism followed by a seesaw mechanism without the requirement $G_{l}>>G_{l}^{*}$.

hep-ph↗

arXiv2008

Extended GWS Model Using Left-Right Symmetry and Its Prediction on Neutrino Mass

We evaluate the predictions of the left-right symmetry model based on $SU(2)\otimes U(1)$ gauge group with one bidoublet and one doublet Higgs fields on the parity violation, charged leptons and neutrinos masses. Parity violation in the weak interaction is due to the very large $M_{W_{R}}$ mass compare to the $M_{W_{L}}$ mass. The charged leptons acquire a Dirac mass via ordinary Higgs mechanism, meanwhile the neutrinos acquire a very small Dirac masses via seesaw-like mechanism with values $m_{1}=0.000043$ eV, $m_{2}=0.008888$ eV, $m_{3}=0.014948$ eV when $ρ=8.4\times 10^{-11}$, or m_{1}=0.000014$ eV, $m_{2}=0.003032$ eV, $m_{3}=0.050990$ eV when $ρ=2.9\times 10^{-11}$.

hep-ph↗