controlling ρ width effects for a precise value of α in b→ρρ

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ID: 164129
2017
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Abstract
It has been pointed out that the currently most precise determination of the weak phase ϕ2=α of the Cabibbo–Kobayashi–Maskawa (CKM) matrix achieved in B→ρρ decays is susceptible to a small correction at a level of (Γρ/mρ)2 due to an I=1 amplitude caused by the ρ width. Using Breit–Wigner distributions for the two pairs of pions forming ρ mesons, we study the I=1 contribution to B→ρρ decay rates as function of the width and location of the ρ band. We find that in the absence of a particular enhancement of the I=1 amplitude reducing a single band to a width Γρ at SuperKEKB leads to results which are completely insensitive to the ρ width. If the I=1 amplitude is dynamically enhanced relative to the I=0,2 amplitude one could subject its contribution to a “magnifying glass” measurement using two separated ρ bands of width Γρ. Subtraction of the I=1 contribution from the measured decay rate would lead to a very precise determination of the I=0,2 amplitude needed for performing the isospin analysis.
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gronau2017physicscontrolling Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Michael Gronau, Jonathan L. Rosner
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Journal ACS chemical biology
Year 2017
DOI
10.1016/j.physletb.2017.01.022
URL
http://www.sciencedirect.com/science/article/pii/S0370269317300291
Keywords
physics

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