Determination of the sensitivity of $$\Lambda $$ and $$\Lambda ^+_c$$ electric dipole moments using a full angular analysis

Abstract A search for a non-zero Electric Dipole Moment (EDM) of particles, which is a clear signal of a violation of CP symmetry, is one of the unique ways to discover physics beyond the Standard Model. In this paper, we discuss a method for determining the EDM of baryons from the full angular distribution of final particles in electron-positron pair annihilation processes. The question of how accurately the state-of-the-art experiments can determine EDM of $$\Lambda $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>Λ</mml:mi> </mml:math> and $$\Lambda _c^+$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mi>Λ</mml:mi> <mml:mi>c</mml:mi> <mml:mo>+</mml:mo> </mml:msubsup> </mml:math> baryons is discussed in detail. Investigating the pseudo-statistics that corresponds to the BESIII experiment, the estimated sensitivity for $$\Lambda $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>Λ</mml:mi> </mml:math> EDM is obtained at the level of $$10^{-18}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mn>10</mml:mn> <mml:mrow> <mml:mo>-</mml:mo> <mml:mn>18</mml:mn> </mml:mrow> </mml:msup> </mml:math> $$e\,$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>e</mml:mi> <mml:mspace/> </mml:mrow> </mml:math> cm. The similar figure for the proposed Super Tau-Charm Facility (STCF) experiment is found to be of the order of $$10^{-20}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mn>10</mml:mn> <mml:mrow> <mml:mo>-</mml:mo> <mml:mn>20</mml:mn> </mml:mrow> </mml:msup> </mml:math> $$e\,$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>e</mml:mi> <mml:mspace/> </mml:mrow> </mml:math> cm. For the $$\Lambda _c^+$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mi>Λ</mml:mi> <mml:mi>c</mml:mi> <mml:mo>+</mml:mo> </mml:msubsup> </mml:math> EDM, the calculated sensitivity for the STCF experiment is $$10^{-16}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mn>10</mml:mn> <mml:mrow> <mml:mo>-</mml:mo> <mml:mn>16</mml:mn> </mml:mrow> </mml:msup> </mml:math> $$e\,$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>e</mml:mi> <mml:mspace/> </mml:mrow> </mml:math> cm. The case of a polarized initial electron is considered separately as such an option is planned at the STCF experiment.