Influence of invisible light particles on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:msub> <mml:mi mathvariant="normal">Λ</mml:mi> <mml:mi>b</mml:mi> </mml:msub> <mml:mo stretchy="false">→</mml:mo> <mml:mi mathvar

In this work, we study the contribution of invisible light particles to <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"> <a:mrow> <a:msub> <a:mrow> <a:mi mathvariant="normal">Λ</a:mi> </a:mrow> <a:mrow> <a:mi>b</a:mi> </a:mrow> </a:msub> <a:mo stretchy="false">→</a:mo> <a:mi mathvariant="normal">Λ</a:mi> <a:msub> <a:mrow> <a:mi>E</a:mi> </a:mrow> <a:mrow> <a:mi>miss</a:mi> </a:mrow> </a:msub> </a:mrow> </a:math> , particularly the three-body decays <f:math xmlns:f="http://www.w3.org/1998/Math/MathML" display="inline"> <f:mrow> <f:msub> <f:mrow> <f:mi mathvariant="normal">Λ</f:mi> </f:mrow> <f:mrow> <f:mi>b</f:mi> </f:mrow> </f:msub> <f:mo stretchy="false">→</f:mo> <f:mi mathvariant="normal">Λ</f:mi> <f:mi>ϕ</f:mi> <f:mover accent="true"> <f:mrow> <f:mi>ϕ</f:mi> </f:mrow> <f:mrow> <f:mo stretchy="false">¯</f:mo> </f:mrow> </f:mover> </f:mrow> </f:math> and <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="inline"> <m:msub> <m:mi mathvariant="normal">Λ</m:mi> <m:mi>b</m:mi> </m:msub> <m:mo stretchy="false">→</m:mo> <m:mi mathvariant="normal">Λ</m:mi> <m:mi>ψ</m:mi> <m:mover accent="true"> <m:mi>ψ</m:mi> <m:mo stretchy="false">¯</m:mo> </m:mover> </m:math> . The differential branching ratio of <t:math xmlns:t="http://www.w3.org/1998/Math/MathML" display="inline"> <t:msub> <t:mi mathvariant="normal">Λ</t:mi> <t:mi>b</t:mi> </t:msub> <t:mo stretchy="false">→</t:mo> <t:mi mathvariant="normal">Λ</t:mi> <t:msub> <t:mi>E</t:mi> <t:mrow> <t:mi>miss</t:mi> </t:mrow> </t:msub> </t:math> and the <y:math xmlns:y="http://www.w3.org/1998/Math/MathML" display="inline"> <y:msup> <y:mi>q</y:mi> <y:mn>2</y:mn> </y:msup> </y:math> -dependent longitudinal polarization asymmetry of <ab:math xmlns:ab="http://www.w3.org/1998/Math/MathML" display="inline"> <ab:mi mathvariant="normal">Λ</ab:mi> </ab:math> in scenarios explaining the Belle II excess are presented. In the chiral basis, we investigate the correlations between <db:math xmlns:db="http://www.w3.org/1998/Math/MathML" display="inline"> <db:mrow> <db:mi mathvariant="script">B</db:mi> <db:mo stretchy="false">(</db:mo> <db:mi>B</db:mi> <db:mo stretchy="false">→</db:mo> <db:mi>K</db:mi> <db:msub> <db:mrow> <db:mi>E</db:mi> </db:mrow> <db:mrow> <db:mi>miss</db:mi> </db:mrow> </db:msub> <db:mo stretchy="false">)</db:mo> </db:mrow> </db:math> and <jb:math xmlns:jb="http://www.w3.org/1998/Math/MathML" display="inline"> <jb:mrow> <jb:mi mathvariant="script">B</jb:mi> <jb:mo stretchy="false">(</jb:mo> <jb:msub> <jb:mrow> <jb:mi mathvariant="normal">Λ</jb:mi> </jb:mrow> <jb:mrow> <jb:mi>b</jb:mi> </jb:mrow> </jb:msub> <jb:mo stretchy="false">→</jb:mo> <jb:mi mathvariant="normal">Λ</jb:mi> <jb:msub> <jb:mrow> <jb:mi>E</jb:mi> </jb:mrow> <jb:mrow> <jb:mi>miss</jb:mi> </jb:mrow> </jb:msub> <jb:mo stretchy="false">)</jb:mo> </jb:mrow> </jb:math> , as well as between <rb:math xmlns:rb="http://www.w3.org/1998/Math/MathML" display="inline"> <rb:mi mathvariant="script">B</rb:mi> <rb:mo stretchy="false">(</rb:mo> <rb:mi>B</rb:mi> <rb:mo stretchy="false">→</rb:mo> <rb:mi>K</rb:mi> <rb:msub> <rb:mi>E</rb:mi> <rb:mrow> <rb:mi>miss</rb:mi> </rb:mrow> </rb:msub> <rb:mo stretchy="false">)</rb:mo> </rb:math> and <xb:math xmlns:xb="http://www.w3.org/1998/Math/MathML" display="inline"> <xb:msubsup> <xb:mi>P</xb:mi> <xb:mi>L</xb:mi> <xb:mi mathvariant="normal">Λ</xb:mi> </xb:msubsup> </xb:math> , in eight distinct new physics scenarios. We find that the <ac:math xmlns:ac="http://www.w3.org/1998/Math/MathML" display="inline"> <ac:msubsup> <ac:mi>P</ac:mi> <ac:mi>L</ac:mi> <ac:mi mathvariant="normal">Λ</ac:mi> </ac:msubsup> </ac:math> can be used to distinguish the chirality of the hadronic current part in the effective operators, which is similar to the cases in the two-body decays <dc:math xmlns:dc="http://www.w3.org/1998/Math/MathML" display="inline"> <dc:msub> <dc:mi mathvariant="normal">Λ</dc:mi> <dc:mi>b</dc:mi> </dc:msub> <dc:mo stretchy="false">→</dc:mo> <dc:mi mathvariant="normal">Λ</dc:mi> <dc:mi>ϕ</dc:mi> </dc:math> and <ic:math xmlns:ic="http://www.w3.org/1998/Math/MathML" display="inline"> <ic:msub> <ic:mi mathvariant="normal">Λ</ic:mi> <ic:mi>b</ic:mi> </ic:msub> <ic:mo stretchy="false">→</ic:mo> <ic:mi mathvariant="normal">Λ</ic:mi> <ic:mi>V</ic:mi> </ic:math> .