Neutrino Mass Matrix Subject to μ−τ\mu-\tau 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 $\mu-\tau$ 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.Comment: 6 pages, Talk given at CTP BUE International Conference on Neutrino Physics in the LHC Era, Luxor, Egypt, 15-19 November 200

Nonzero θ13\theta_{13} and CP Violation from Broken μ−τ\mu-\tau Symmetry

Nonzero and relatively large of $\theta_{13}$ mixing angle has some phenomenological consequences on neutrino physics beyond the standard model. One of the consequences if the mixing angle $\theta_{13}\neq 0$ is the possibility of the CP violation on the neutrino sector. In order to obtain nonzero $\theta_{13}$ mixing angle, we break the neutrino mass matrix that obey $\mu-\tau$ 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 $\delta$ as function of mixing angle $\theta_{13}$Comment: 5 pages, no figure, abstract and section 3 extende

Nonzero θ13\theta_{13} and CP violation from Broken μ−τ\mu-\tau Symmetry with m1=0m_{1}=0

Nonzero of mixing angle $\theta_{13}$ has some phenomenological consequences on neutrino physics beyond the standard model. If the mixing angle $\theta_{13}\neq 0$, then there is the possibility of the CP violation existence on the neutrino sector. To obtain a nonzero of mixing angle $\theta_{13}$ from neutrino mass matrix obey $\mu-\tau$, 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.Comment: 6 pages, no figure, title changed, Talk given at XXX-th International Workshop on High Energy Physics "Particle and Astroparticle Physics, Gravitation and Cosmology: Predictions, Observations and New Projects", Protvino, Russia, 23-27 June 201

Melalui Bimbingan Kelompok Berbasis MGMP Dapat Meningkatkan Kompetensi Guru SMPN 3 Babat Supat dalam Penyusunan Proposal PTK

Penelitian ini bertujuan untuk mengetahui sejauhmana efektifitas penerapan pembimbingan kelompok dalam upaya meningkatkan kompetensi guru SMPN 3 Babat Supat dalam penyusunan proposal PTK yang bermanfaat bagi guru dalam peningkatan profesionalisme. Dalam pelaksanaan Penelitian Tindakan Sekolah (PTS) ini sebanyak dua siklus, dimana masing-masing siklus terdapat empat tahapan yaitu perencanaan, pelaksanaan, observasi dan refleksi. Indikator keberhasilan dalam penelitian ini adalah Kompetensi Guru SMP Negeri 3 Babat Supat jika &gt; 10% dari jumlah peserta pembimbingan telah memperleh nilai rata-rata ≥ 85,00. Hasil Penelitian Tindakan Sekolah (PTS) pada siklus II diperoleh data sebagai berikut; (1) observasi pengawas 4,22; (2) observasi guru 4,14; (3) hasil kerja secara klasikal (84,02). Indikator keberhasilan telah terlampaui maka PTS dinyatakan berhasil, dan penelitian dihentikan pada siklus II. Bimbingan kelompok sangat efektif dalam upaya meningkatkan kompetensi guru SMPN 3 Babat Supat dalam penyusunan proposal PTK karena 90% dari jumlah peserta sebanyak 35 (tiga puluh lima) orang guru telah berhasil menyusun proposal PTK sesuai harapan. Disarankan kepala sekolah sejawat untuk melakukan kegiatan pembimbingan bagi guru yang menjadi tanggungjawabnya dalam upaya peningkatan kompetensi dalam kegiatan pengembangan keprofesian berkelanjutan (PKB)