We study the origin of the non-monotonic magnetic-field dependence of the lowest charged pion excitation observed in lattice QCD. In a magnetic field, the charged pion mixes with the longitudinally polarized charged rho meson, which shares the same quantum numbers. Within the SU(2)$_f$ Nambu--Jona-Lasinio model supplemented by a gauge invariant tree-level $π-ρ$ mixing operator constrained by the experimental $ρ^\pm\rightarrowπ^\pmγ$ decay width, we compare four mass-extraction schemes: rest-mass reconstruction, local bosonization, direct determinant solving with Landau projection, and near-pole expansion. The rest-mass scheme cannot reproduce the lattice-type turnover, while in the local derivative-expansion scheme the turnover presence but is weak which occurs at large magnetic field. By contrast, the direct determinant and near-pole schemes both retain a robust non-monotonic lowest mode. The former is most faithful to the Landau-level kinematics of the charged excitation, while the latter most clearly shows that residue suppression enhances the effective mixing after canonical normalization. Our results indicate that the lattice behavior is a genuine quasiparticle mixing effect, but one whose robustness depends crucially on how the charged-meson pole structure is extracted in a magnetic field.
Simultaneous extraction of top quark mass, strong coupling, effective mixing angle, and proton PDFs using inclusive DIS and proton-proton collision data
Deutsches Elektronen-Synchrotron DESY(德国电子同步加速器);Bergische Universität Wuppertal(伍珀塔尔大学);Lunds universitet(隆德大学);University of Hamburg(汉堡大学);Institute of Modern Physics, Chinese Academy of Sciences(中国科学院近代物理研究所);University of Chinese Academy of Sciences(中国科学院大学)
Flavour Anomalies: A comparative analysis using a machine learning algorithm
Universidad de Zaragoza(萨拉戈萨大学);Centro de Astropartículas y Física de Altas Energías (CAPA), Universidad de Zaragoza(高能物理与天体粒子中心(CAPA),萨拉戈萨大学);Università degli Studi di Padova(帕多瓦大学);Istituto Nazionale di Fisica Nucleare (INFN), Sezione Padova(意大利国家核物理研究所(INFN)帕多瓦分部)
Large neutrino mixing angle θ_{13}^{MNS} and quark-lepton mass ratios in unified flavour models
We analyse how a large value of the leptonic mixing angle θ_{13}^{MNS} can be generated via charged lepton corrections in unified flavour models, using novel combinations of Clebsch-Gordan factors for obtaining viable quark-lepton mass ratios for the first two families. We discuss how these Clebsch-Gordan factors affect the relations between down-type quark mixing and charged lepton mixing in SU(5) GUTs and Pati-Salam unified models and calculate the resulting possible predictions for θ_{13}^{MNS} for models with θ_{13}^ν, θ_{13}^e << θ_{12}^e. While symmetric mass matrices with zero (1,1)-ele…