Z c s + production in B + decays

In the present work, we study the <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"> <a:msubsup> <a:mi>Z</a:mi> <a:mrow> <a:mi>c</a:mi> <a:mi>s</a:mi> </a:mrow> <a:mo>+</a:mo> </a:msubsup> </a:math> exotic state production in the <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"> <c:msup> <c:mi>B</c:mi> <c:mo>+</c:mo> </c:msup> </c:math> meson decays through the meson loop mechanism, where the <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"> <e:msup> <e:mi>B</e:mi> <e:mo>+</e:mo> </e:msup> </e:math> meson decays into an anticharmed meson and a charmed-strange meson pair, and consequently couples to <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"> <g:msub> <g:mi>Z</g:mi> <g:mrow> <g:mi>c</g:mi> <g:mi>s</g:mi> </g:mrow> </g:msub> </g:math> and a light meson ( <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"> <i:mi>ϕ</i:mi> <i:mo>,</i:mo> <i:msup> <i:mi>ρ</i:mi> <i:mn>0</i:mn> </i:msup> <i:mo>,</i:mo> <i:mi>ω</i:mi> <i:mo>,</i:mo> <i:mi>η</i:mi> <i:mo>,</i:mo> <i:msup> <i:mi>η</i:mi> <i:mo>′</i:mo> </i:msup> </i:math> , and <k:math xmlns:k="http://www.w3.org/1998/Math/MathML" display="inline"> <k:msup> <k:mi>π</k:mi> <k:mn>0</k:mn> </k:msup> </k:math> ) via exchanging a proper charmed or charmed-strange meson. Using the effective Lagrangian approach, we estimate the branching fractions of different channels, finding them to be of the order of <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="inline"> <m:msup> <m:mn>10</m:mn> <m:mrow> <m:mo>−</m:mo> <m:mn>4</m:mn> </m:mrow> </m:msup> </m:math> , and their ratios are almost independent of the model parameter. The fit fractions of <o:math xmlns:o="http://www.w3.org/1998/Math/MathML" display="inline"> <o:msubsup> <o:mi>Z</o:mi> <o:mrow> <o:mi>c</o:mi> <o:mi>s</o:mi> </o:mrow> <o:mo>+</o:mo> </o:msubsup> </o:math> in different <q:math xmlns:q="http://www.w3.org/1998/Math/MathML" display="inline"> <q:msup> <q:mi>B</q:mi> <q:mo>+</q:mo> </q:msup> </q:math> decay processes are also estimated, and we propose searching for <s:math xmlns:s="http://www.w3.org/1998/Math/MathML" display="inline"> <s:msubsup> <s:mi>Z</s:mi> <s:mrow> <s:mi>c</s:mi> <s:mi>s</s:mi> </s:mrow> <s:mo>+</s:mo> </s:msubsup> </s:math> in the <u:math xmlns:u="http://www.w3.org/1998/Math/MathML" display="inline"> <u:msup> <u:mi>B</u:mi> <u:mo>+</u:mo> </u:msup> <u:mo stretchy="false">→</u:mo> <u:mi>J</u:mi> <u:mo>/</u:mo> <u:mi>ψ</u:mi> <u:msup> <u:mi>K</u:mi> <u:mo>+</u:mo> </u:msup> <u:msup> <u:mi>η</u:mi> <u:mo>′</u:mo> </u:msup> </u:math> process, which should be accessible to both Belle II and LHCb Collaborations.