English

New $B^{\pm}\to K\pi$ data explain absence of CP violation Tree-penguin interference canceled by Pauli effects

High Energy Physics - Phenomenology 2011-04-05 v3

Abstract

Observation of CP violation in BoK±πB^o\to K^\pm\pi^{\mp} decays and its absence in B+K+πoB^+\to K^+\pi^o decays are explained in new improved data analysis of more precise BKπB\to K\pi data. Success of the "Lipkin Sum Rule" indicates that four B\towKπB\tow K\pi branching ratios are determined by three parameters, the penguin diagram PP and two interference terms PTP\cdot T and PSP\cdot S between the dominant penguin and two tree diagrams; the color-favored and color suppressed diagrams. Previous analyzes confirmed the model with errors leaving values of interference terms less that two standard deviations from zero. The observation CP violation in BoK±πB^o\to K^\pm\pi^{\mp} decays indicates a finite value for PTP\cdot T. New precise data analysis show PTP\cdot T and PSP\cdot S interference contributions well above errors. Their contributions to B±KπB^\pm\to K\pi decays are shown to be nearly equal with opposite phase and cancel within experimental errors. This cancelation unexpected in previous analyzes explains the failure to see CP violation in B±KπB^\pm\to K\pi decays. It can be due to the Pauli antisymmetry exchange neglected in previous analyzes. Two B±KπB^\pm\to K\pi tree diagrams differ by interchange of two identical uu quarks. BoK±πB^o\to K^\pm\pi^{\mp} diagrams have no identical quark pairs. This Pauli effect explains the difference produced by changing the flavor of the spectator quark which does not participate in the weak interaction. Our analysis differs from previous analyzes which assume SU(3) flavor symmetry to use input from BππB\to \pi\pi data and neglect Pauli effects. We use new data, include Pauli effects and strong final state interactions to all orders in QCD with no higher flavor symmetry assumed beyond isospin. We do not use BππB\to \pi\pi data.

Keywords

Cite

@article{arxiv.1102.4700,
  title  = {New $B^{\pm}\to K\pi$ data explain absence of CP violation Tree-penguin interference canceled by Pauli effects},
  author = {Harry J. Lipkin},
  journal= {arXiv preprint arXiv:1102.4700},
  year   = {2011}
}

Comments

21 pages, 3 figurew