Strange quark electric dipole moment with topological anomalies

We introduce an anomaly-based framework to probe quark electric dipole moments in exclusive hadronic final states produced in <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"> <a:msup> <a:mi>e</a:mi> <a:mo>+</a:mo> </a:msup> <a:msup> <a:mi>e</a:mi> <a:mo>−</a:mo> </a:msup> </a:math> annihilation. Chern-Simons-induced anomalous couplings yield a clean T-odd asymmetry <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"> <c:msub> <c:mi>A</c:mi> <c:mi>T</c:mi> </c:msub> </c:math> from interference between the Standard-Model amplitude and dipole-moment contributions. As an application, <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"> <e:msup> <e:mi>γ</e:mi> <e:mo>*</e:mo> </e:msup> <e:mo stretchy="false">→</e:mo> <e:msup> <e:mi>K</e:mi> <e:mo>+</e:mo> </e:msup> <e:msup> <e:mi>K</e:mi> <e:mo>−</e:mo> </e:msup> <e:msup> <e:mi>π</e:mi> <e:mn>0</e:mn> </e:msup> </e:math> provides direct sensitivity to the strange-quark electric dipole moment (EDM) <h:math xmlns:h="http://www.w3.org/1998/Math/MathML" display="inline"> <h:msub> <h:mi>d</h:mi> <h:mi>s</h:mi> </h:msub> </h:math> in the chiral limit. The precision on <j:math xmlns:j="http://www.w3.org/1998/Math/MathML" display="inline"> <j:msub> <j:mi>d</j:mi> <j:mi>s</j:mi> </j:msub> </j:math> can reach <l:math xmlns:l="http://www.w3.org/1998/Math/MathML" display="inline"> <l:mi mathvariant="script">O</l:mi> <l:mo stretchy="false">(</l:mo> <l:msup> <l:mn>10</l:mn> <l:mrow> <l:mo>−</l:mo> <l:mn>16</l:mn> </l:mrow> </l:msup> <l:mo stretchy="false">)</l:mo> <l:mtext> </l:mtext> <l:mtext> </l:mtext> <l:mi>e</l:mi> <l:mtext> </l:mtext> <l:mi>cm</l:mi> </l:math> with existing CMD–3 data and <q:math xmlns:q="http://www.w3.org/1998/Math/MathML" display="inline"> <q:mrow> <q:mi mathvariant="script">O</q:mi> <q:mo stretchy="false">(</q:mo> <q:msup> <q:mrow> <q:mn>10</q:mn> </q:mrow> <q:mrow> <q:mo>−</q:mo> <q:mn>18</q:mn> </q:mrow> </q:msup> <q:mo stretchy="false">)</q:mo> <q:mtext> </q:mtext> <q:mtext> </q:mtext> <q:mi>e</q:mi> <q:mtext> </q:mtext> <q:mi>cm</q:mi> </q:mrow> </q:math> using current <v:math xmlns:v="http://www.w3.org/1998/Math/MathML" display="inline"> <v:mi>J</v:mi> <v:mo>/</v:mo> <v:mi>ψ</v:mi> </v:math> samples at BESIII, improving the current direct constraint from hyperon EDM by two to three orders.