Isospin-breaking effects on alpha extracted in B --> pi pi, rho rho, rho pi

Abstract

Isospin-breaking in B --> pi pi caused by pi^0-eta-eta' mixing is studied in a model-independent way using flavor SU(3). Measured branching ratios for B^+ --> pi^+ pi^0, B^+ --> pi^+ eta^(') and B^0 --> pi^0 eta^(') imply an uncertainty in alpha smaller than 1.4 degree. We find a negligible effect of pi^0-eta-eta' mixing on alpha in B --> rho pi. Characterizing the effect of rho^0-omega mixing in B --> rho rho and in B --> rho pi by the two-pion invariant mass dependence, we point out a way of constraining this effect experimentally or eliminating it altogether. We show that a model-independent shift in alpha caused by electroweak penguin amplitudes in B --> pi pi and B --> rho rho, Δalpha_{EWP}=1.5+- 0.3 degree, may be slightly different in B --> rho pi. Other sources of isospin-breaking in these processes are briefly discussed.

21 pages, very slight changes, same version as in Physical Review D

References in corpus (9)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• On measuring alpha in B(t)-> rho^\pm pi^\mp
• Study of B0 -> rho+-pi-+ Time-dependent CP Violation at Belle
• Limit on the B0->rho0rho0 Branching Fraction and Implications for the CKM Angle alpha
• Measurement of Branching Fraction and CP Asymmetry in B+ ->rho+ pi0
• Reducing the Error on alpha in B-> pi pi, rho rho, rho pi
• Direct CP Violation, Branching Ratios and Form Factors $B\to \pi$, $B\to K$ in $B$ Decays
• Evidence of B0 --> rho0 pi0
• Measurements of B meson decays to omega K* and omega rho

Cited by in corpus (43)

• Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of summer 2016
• Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of 2018
• Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of 2021
• Implications of LHCb measurements and future prospects
• Two body B decays with isosinglet final states in SCET
• B, D and K decays
• New Physics at a Super Flavor Factory
• Quasi-two-body decays $B_{(s)}\to P\rho \to P\pi \pi$ in perturbative QCD approach
• New Physics and Evidence for a Complex CKM
• A Study of B0 to rho+rho- Decays and Constraints on the CKM Angle alpha
• CP violation and the CKM matrix
• Isospin symmetry breaking through pi^0 - eta -eta' mixing
• The CKM Parameters
• CP violation in the B system
• Isospin analysis of charmless B-meson decays
• Towards a Precision Determination of alpha in B \to pi pi Decays
• A precise determination of $\alpha$ using $B^0\to {\rho }^{+}{\rho }^{-}$ and $B^{+}\to K^{\ast 0}{\rho }^{+}$
• Improved Determination of the CKM Angle alpha from B to pi pi decays
• Reparametrization invariance of B decay amplitudes and implications for new physics searches in B decays
• Suppression of flavor symmetry breaking in B decay sum rules
• Weak phase alpha from B^0-> a_1^{+-}(1260) pi^{-+}
• Future prospects of B physics
• Determination of gamma from Charmless B --> M1 M2 Decays Using U-Spin
• Can one detect new physics in I=0 and/or I=2 contributions to the decays B --> pi pi?
• Observation of B->etarho+ and search for B0 Decays to eta'eta, etapi0, eta'pi0, and omegapi0
• Testing the dynamics of B -> ππand constraints on α
• Branching Fraction Limits for B0 Decays to eta' eta, eta' pi0 and eta pi0
• Determination of gamma from charmless B^+/- -> M^0 M^+/- decays using U-spin
• Disentangling weak and strong interactions in $B\to K^{\ast }(\to K\pi )\pi$ Dalitz-plot analyses
• Study of the $B^0\to \rho (770{)}^0{K}^{\ast }(892{)}^0$ decay with an amplitude analysis of $B^0\to ({\pi }^{+}{\pi }^{-})(K^{+}{\pi }^{-})$ decays
• CP violation in beauty decays
• Evidence for the decay B0->eta pi^0
• Looking for Delta I = 5/2 amplitude components in B -> pi pi and B -> rho rho experiments
• Improving the measurement of the CKM phase ${\varphi }_2=\alpha$ in $B\to \pi \pi$ and $B\to \rho \rho$ decays
• Penguin pollution estimates relevant for phi_2/alpha extraction
• Measurement of the CKM angle alpha with the B-factories
• A model independent method for quantitative estimation of $SU(3)$ flavor symmetry breaking using Dalitz plot
• Impact of systematic and amplitude model correlations within and between systems of combined input: A case study with ${\varphi }_2$ ($\alpha$)
• Weak Phases and CP Violation
• Pursuit of new physics within the ${\Lambda }_c\to \Delta K$ decays
• Precision Tests of Flavor and CP violation in B Decays
• CP Violation Results from B Decays at BaBar
• Rescaling the isospin triangle argument for constraining ${\varphi }_2$ ($\alpha$): consolidating Belle II and a potential path forward for LHCb