{'fraction_non_alphanumeric': 0.024623803009575923, 'fraction_numerical': 0.027359781121751026, 'mean_word_length': 4.630769230769231, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Renormalizable Standard Model Extension with S4 symmetry for neutrino mass and mixing

We suggest a renormalizable Standard model extension based on S4 symmetry which accommodates the recent observed neutrino oscillation pattern. Through the type-I seesaw mechanism, the smallness of the active neutrino mass and its hierarchy are produced. The model generates the the updated data on neutrino parameters in which 1 σ range of the reactor neutrino mixing angle θ13, the atmospheric neutrino mixing θ23 and the Dirac phase δ for both NH and IH while for the solar mixing angle θ12 = 35.70° belongs to 2σ range. The effective masses are found to be (mee) = 5.74 meV for NH and (mee) = 48.1meV for IH within their allowed constraints.