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In perturbative QCD approach, based on the first order of isospin symmetry breaking, we study the direct  CP violation in the decay of  B ¯ s 0 ⟶ ρ ω K ∗ 0 ⟶ π + π − K ∗ 0 . An interesting mechanism is applied to enlarge the  C P violating asymmetry involving the charge symmetry breaking between  ρ and  ω . We find that the  CP violation is large by the  ρ − ω mixing mechanism when the invariant masses of the  π + π − pairs are in the vicinity of the  ω resonance. For the decay process of  B ¯ s 0 ⟶ ρ ω K ∗ 0 ⟶ π + π − K ∗ 0 , the maximum  CP violation can reach  − 59.12 % . Furthermore, taking  ρ − ω mixing into account, we calculate the branching ratio for  B ¯ s 0 ⟶ ρ ω K ∗ 0 . We also discuss the possibility of observing the predicted  C P violation asymmetry at the LHC.

advances in high energy physics

Hunting for Direct CP Violation in <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <msubsup> <mrow> <mover accent="true"> <mi>B</mi> <mo stretchy="true">¯</mo> </mover> </mrow> <mrow> <mi>s</mi> </mrow> <mrow> <mn>0</mn> </mrow> </msubsup> <mo>⟶</mo> <msup> <mrow> <mi>π</mi> </mrow> <mrow> <mo>+</mo> </mrow> </msup> <msup> <mrow> <mi>π</mi> </mrow> <mrow> <mo>−</mo> </mrow> </msup> <msup> <mrow> <mi>K</mi> </mrow> <mrow> <mo>∗</mo> <mn>0</mn> </mrow> </msup> </math>

Hunting for Direct CP Violation in B ¯ s 0 ⟶ π + π − K ∗ 0

Hunting for Direct CP Violation in ${\bar{B}}_{s}^{0} ⟶ π^{+} π^{-} K^{* 0}$