The “$$B\rightarrow K\pi $$ puzzle”: a new perspective

Abstract A phenomenological analysis based on the published branching fractions and CP asymmetry observables of the $$B\rightarrow K\pi $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>B</mml:mi> <mml:mo>→</mml:mo> <mml:mi>K</mml:mi> <mml:mi>π</mml:mi> </mml:mrow> </mml:math> , $$B\rightarrow \pi \pi $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>B</mml:mi> <mml:mo>→</mml:mo> <mml:mi>π</mml:mi> <mml:mi>π</mml:mi> </mml:mrow> </mml:math> and $$B\rightarrow KK$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>B</mml:mi> <mml:mo>→</mml:mo> <mml:mi>K</mml:mi> <mml:mi>K</mml:mi> </mml:mrow> </mml:math> dataset is performed. The amplitude decomposition by the topological diagrams and the SU (3) irreducible representation is used. The result of the global fit can be interpreted as a solution to the “ $$B\rightarrow K\pi $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>B</mml:mi> <mml:mo>→</mml:mo> <mml:mi>K</mml:mi> <mml:mi>π</mml:mi> </mml:mrow> </mml:math> puzzle”. The obtained precision enables to test a SU (3)-based sum rule showing $$6\sigma $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mn>6</mml:mn> <mml:mi>σ</mml:mi> </mml:mrow> </mml:math> discrepancy with the expectation value in the Standard Model scenario. To improve the obtained results the main effort should concentrate on the $$B^0\rightarrow K^0\pi ^0$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msup> <mml:mi>B</mml:mi> <mml:mn>0</mml:mn> </mml:msup> <mml:mo>→</mml:mo> <mml:msup> <mml:mi>K</mml:mi> <mml:mn>0</mml:mn> </mml:msup> <mml:msup> <mml:mi>π</mml:mi> <mml:mn>0</mml:mn> </mml:msup> </mml:mrow> </mml:math> measurements.