$B_s^0 \to D_s^-a_1^+(D_s^- \to \phi \pi^-, D_s^- \to K^{*0}K^-)$ decay channel in the ATLAS $B_s^0$-mixing studies

It is shown, using a track-level simulation, that the use of the $D_s^- \to K^{*0}K^- $d e c a y c h a n n e l f o r$ D_s^-$ reconstruction, in additioon with the previously studied $D_{s}^{-} \to ϕ π^{-}$ mode, enables two fold gain in the ATLAS $B_{s}^{0}$ -mixing signal statistics through $B_{s}^{0} \to D_{s}^{-} a_{1}$ $B_{s}^{0}$ -decay channel. A new modification of the amplitude fit method is suggested for the $x_{s}$ determination. Some general aspects of the $B_{s}^{0}$ -mixing phenomenon is illustrated by pictures of Casimir Malevich, Maurits Cornelis Escher and Salvador Dali.

$B_{s}^{0} \to D_{s}^{-} a_{1}^{+} (D_{s}^{-} \to ϕ π^{-}, D_{s}^{-} \to K^{* 0} K^{-})$ decay channel in the ATLAS $B_{s}^{0}$ -mixing studies

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$B_{s}^{0} \to D_{s}^{-} a_{1}^{+} (D_{s}^{-} \to ϕ π^{-}, D_{s}^{-} \to K^{* 0} K^{-})$ decay channel in the ATLAS $B_{s}^{0}$ -mixing studies

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Bs0→Ds−a1+(Ds−→ϕπ−,Ds−→K∗0K−)Bs0​→Ds−​a1+​(Ds−​→ϕπ−,Ds−​→K∗0K−) decay channel in the ATLAS Bs0Bs0​-mixing studies

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Bs0→Ds−a1+(Ds−→ϕπ−,Ds−→K∗0K−)Bs0​→Ds−​a1+​(Ds−​→ϕπ−,Ds−​→K∗0K−) decay channel in the ATLAS Bs0Bs0​-mixing studies

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$B_{s}^{0} \to D_{s}^{-} a_{1}^{+} (D_{s}^{-} \to ϕ π^{-}, D_{s}^{-} \to K^{* 0} K^{-})$ decay channel in the ATLAS $B_{s}^{0}$ -mixing studies

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$B_{s}^{0} \to D_{s}^{-} a_{1}^{+} (D_{s}^{-} \to ϕ π^{-}, D_{s}^{-} \to K^{* 0} K^{-})$ decay channel in the ATLAS $B_{s}^{0}$ -mixing studies

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