2019
DOI: 10.1007/jhep10(2019)191
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Resolving the ϕ2 (α) ambiguity in $$ {\mathrm{B}}^0\to {\mathrm{a}}_1^{\pm }{\uppi}^{\mp } $$

Abstract: I propose an alternative method for measuring the CP violating phase φ 2 (α) without ambiguity in an extended SU(3) flavour symmetry analysis, which can ultimately be achieved by exploiting interference effects between B → AP and B → V V decay channels, where A, V, P indicates an axial-vector, vector and pseudo-scalar meson, respectively. Under certain assumptions on the relevant decays based on current experimental results and minimal theoretical input, I demonstrate with an idealised amplitude model that a p… Show more

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Cited by 3 publications
(3 citation statements)
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References 53 publications
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“…2 is its effective weak phase. As these quantities are now related to the isospin triangles at amplitude level, the solution degeneracy in φ 2 for the range [0, 180] • is resolved [32] and as an added incentive, the eightfold solution degeneracy in B 0 → a ± 1 π ∓ can also be lifted for the same range in the SU(3) approach with the added possibility to directly constrain non-factorisable symmetry-breaking effects [33].…”
Section: Next-generation Approachmentioning
confidence: 99%
“…2 is its effective weak phase. As these quantities are now related to the isospin triangles at amplitude level, the solution degeneracy in φ 2 for the range [0, 180] • is resolved [32] and as an added incentive, the eightfold solution degeneracy in B 0 → a ± 1 π ∓ can also be lifted for the same range in the SU(3) approach with the added possibility to directly constrain non-factorisable symmetry-breaking effects [33].…”
Section: Next-generation Approachmentioning
confidence: 99%
“…where λ ij CP is a CP -violation parameter and φ ij 2 is its effective weak phase. As these quantities are now related to the isospin triangles at amplitude level, the solution degeneracy in φ 2 for the range [0, 180] • is resolved [45] and as an added incentive, the 8-fold solution degeneracy in B 0 → a ± 1 π ∓ can also be lifted for the same range in the SU(3) approach [46]. Naturally, this method raises concerns regarding the potential impact on φ 2 coming from correlated amplitude model systematics which will be studied here.…”
Section: Next-generation Approachmentioning
confidence: 99%
“…Then to generate these samples, amplitude models are first required for which information is sparse, meaning that assumptions will have to be made on the magnitudes and relative phases between the B → ρρ polarisations. In previous works [45,46], unknown physics parameters were uniformly distributed in an ensemble test to give a sense of what to expect on average in their respective φ 2 studies. However in this case, applying systematic variations on top of all three amplitude analyses in an ensemble is not a practical endeavour and would be of unclear benefit, besides.…”
Section: Amplitude Model Correlations Within Systemsmentioning
confidence: 99%