2010/01/31 by Michael Gronau, Dan Pirjol, Jure Zupan · 1 citation
Mathematics · Physics and Astronomy · #Amplitude #Asymmetry #Black Holes and Theoretical Physics #CP violation #Combinatorics #Electroweak interaction #Geometry #Isospin #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Pi #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Sum rule in quantum mechanics #Tree (set theory) #hep-ex #hep-ph
paper · pdf · doi:10.1103/physrevd.81.094011
published as Phys.Rev.D81:094011,2010 · 21 pages, to be published in Physical Review D
arxiv created 2010/03/31 · openalex publication_date 2010/05/07 · arxiv updated 2010/05/25 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We show that ratios of tree and penguin amplitudes in B\ensuremath→K*\ensuremathπ and B\ensuremath→\ensuremathρK are 2 to 3 times larger than in B\ensuremath→K\ensuremathπ. This allows for considerably larger CP asymmetries in the former processes than the 10% asymmetry measured in B0\ensuremath→K+\ensuremathπ^\ensuremath-. We study isospin sum rules for rate asymmetries in B\ensuremath→K\ensuremathπ, K*\ensuremathπ, \ensuremathρK, estimating small violation from interference of tree and electroweak penguin amplitudes. The breaking of the K\ensuremathπ asymmetry sum rule is estimated to be 1 to 2% and negative. Violation of K*\ensuremathπ and \ensuremathρK sum rules can be estimated from B\ensuremath→\ensuremathρ\ensuremathπ amplitudes using flavor SU(3), while breaking of a sum rule combining K*\ensuremathπ and \ensuremathρK asymmetries can be measured directly in a Dalitz analysis of B0\ensuremath→K+\ensuremathπ^\ensuremath-\ensuremathπ0. The three sum rules can be tested using complete sets of data taken at e+e^\ensuremath- B factories and in experiments at the LHCb and at a future Super Flavor Factory, providing precision searches for new \ensuremathΔS=\ensuremathΔI=1 operators in the low-energy effective Hamiltonian.