Extraction of the CKM phase 
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 using charmless three-body decays of 
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>B</mml:mi></mml:math>
 mesons

Bertholet, E.; Ben-Haim, E.; Bhattacharya, Bhubanjyoti; Charles, M.; London, David

doi:10.1103/physrevd.99.114011

Cited by 7 publications

(2 citation statements)

References 25 publications

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“…Some of them can only provide a bound on , and serve as a complementary and indirect constraint on the unitarity triangle. Recently, three-body charmless B decays, whose amplitudes are related by the flavor SU(3) symmetry [15][16][17] or U spin flavor symmetry [18], were used to extract the CKM angle . The uncertainty of this fit was of the order of with six possible solutions found in the latest paper [17].…”

Section: Introduction α β γmentioning

confidence: 99%

Extraction of the CKM phase γ from the charmless two-body B meson decays *

Zhou

2020

Chinese Phys. C

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Using all experimentally measured charmless , decay modes, where denotes a light pseudoscalar (vector) meson, we extract the CKM angle by a global fit. All hadronic parameters are determined from the experimental data, such that the approach is least model dependent. The contributions of the various decay modes are classified by the topological weak Feynman diagram amplitudes, which are determined by the global fit. To improve the precision of the approach, we consider the flavor SU(3) breaking effects of the topological diagram amplitudes of the decay modes by including the form factors and decay constants. The fit result for the CKM angle is . It is consistent with the current world average values but has a smaller uncertainty.

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Section: Introduction α β γmentioning

confidence: 99%

Extraction of the CKM phase γ from the charmless two-body B meson decays *

Zhou

2020

Chinese Phys. C

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“…This analysis was redone in Ref. [42], taking into account all systematic errors, particularly those from correlations between the results from different DP points. It was found that (i) when averaged over the full DP, SU(3) breaking is only at the percent level, and (ii) the loop-level γ can be extracted with a 6-fold ambiguity:…”

Section: Direct Cp Violationmentioning

confidence: 99%

CP Violation in $B$ Decays (and the Search for New Physics)

London

2020

Preprint

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In this talk, I review the various measurements that have been made over the years of CP-violating observables in B decays. These include indirect CP asymmetries, direct CP asymmetries, and triple products. All are discussed in the context of the search for new physics (NP). The only hints of NP have appeared in (i) B → πK decays and (ii) 3-body B → Kππ and B → K KK decays, where the extracted (loop-level) value of γ may differ from the value found using (tree-level) B + → D ( * ) K ( * )+ decays. CP-violating observables may also be used to distinguish among the models proposed to explain the current anomalies observed in b → sµ + µ − and b → cτ ντ decays.

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A self-consistent framework of topological amplitude and its SU(N) decomposition

Wang

Jia

2021

J. High Energ. Phys.

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We propose a systematic theoretical framework for the topological amplitudes of the heavy meson decays and their SU(N) decomposition. In the framework, the topologies are expressed in invariant tensors and classified into tree- and penguin-operator-induced diagrams according to which four-quark operators, tree or penguin, being inserted into their effective weak vertexes. The number of possible topologies contributing to one type of decay can be counted by permutations and combinations. The Wigner-Eckhart theorem ensures the topological amplitudes under flavor symmetry are the same for different decay channels. By decomposing the four-quark operators into irreducible representations of SU(N) group, one can get the SU(N) irreducible amplitudes. Taking the D → PP decay (P denoting a pseudoscalar meson) with SU(3)F symmetry as an example, we present our framework in detail. The linear correlation of topologies in the SU(3)F limit is clarified in group theory. It is found there are only nine independent topologies in all tree- and penguin-operator-induced diagrams contributing to the D → PP decays in the Standard Model. If a large quark-loop diagram, named TLP, is assumed, the large ∆ACP and the very different D0→ K+K− and D0→ π+π− branching fractions can be explained with a normal U-spin breaking. Moreover, our framework provides a simple way to analyze the SU(N) breaking effects. The linear SU(3)F breaking and the high order U-spin breaking in charm decays are re-investigated in our framework, which are consistent with literature. Analogous to the degeneracy and splitting of energy levels, we propose the concepts of degeneracy and splitting of topologies to describe the flavor symmetry breaking effects in decay. As applications, we analyze the strange-less D decays in SU(3)F symmetry breaking into Isospin symmetry and the charm-less B decays in SU(4)F symmetry breaking into SU(3)F symmetry.

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Extraction of the CKM phase γ using charmless three-body decays of B mesons

Cited by 7 publications

References 25 publications

Extraction of the CKM phase γ from the charmless two-body B meson decays *

Extraction of the CKM phase γ from the charmless two-body B meson decays *

CP Violation in $B$ Decays (and the Search for New Physics)

A self-consistent framework of topological amplitude and its SU(N) decomposition

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