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Precision Polarization Determination for Physics Analysis

This study focuses on the required input of beam polarization for partial wave analysis (PWA) in physics research, with a particular emphasis on sensitivity analysis and systematics to achieve high precision results. Plans for improving precision in Polarimetry CB spectral shape analysis are outlined, with an expected precision of dp=0.5%. Systematics could potentially be pushed down to 2-3%, enhancing analysis capabilities. The initial 5% precision target will suffice for various analysis channels, with room for improvement through cross-checking with complementary methods.

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Precision Polarization Determination for Physics Analysis

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  1. Hall D Polarization DeterminationI. Physics Requirements • Beam polarization is a required input to the partial wave analysis (PWA). • The PWA fit sensitivity to the value of p will differ from one channel to another, depending on the physical analyzing power A in that channel: • A and s0 have different sensitivities to small amplitude components. • There are cases where A is primary discriminator between solutions. • Systematics on acceptance will limit precision on measured s± • Limiting case: where A  ±1 then dp  few % would be useful. s± = s0 (1 ± pA) whereA [-1,1]. ds± dp |A| few %  few % s0

  2. Hall D Polarization DeterminationII. Plans for Polarimetry CB spectral shape analysis • Primary method: • Expected precision: dp= 5% • Systematics may ultimately be pushed down to 2-3% • The expected initial 5% precision will be sufficient for many analysis channels and doing substantially better may await further motivation from actual physics analysis. requires cross checking with complementary methods

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