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- W3206131191 abstract "Abstract We introduce optimal observables to measure the Pauli form factor $$F_2$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:msub><mml:mi>F</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:math> of the $$tau $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>τ</mml:mi></mml:math> -lepton in the pair-production process $$mathrm{e}^- mathrm{e}^+ rightarrow tau ^-tau ^+$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mrow><mml:msup><mml:mrow><mml:mi>e</mml:mi></mml:mrow><mml:mo>-</mml:mo></mml:msup><mml:msup><mml:mrow><mml:mi>e</mml:mi></mml:mrow><mml:mo>+</mml:mo></mml:msup><mml:mo>→</mml:mo><mml:msup><mml:mi>τ</mml:mi><mml:mo>-</mml:mo></mml:msup><mml:msup><mml:mi>τ</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math> from the intensity distribution of the decay products. The spin-density matrix for the production process is calculated in QED up to order $$alpha ^3$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:msup><mml:mi>α</mml:mi><mml:mn>3</mml:mn></mml:msup></mml:math> including virtual photon-loops and soft bremsstrahlung, as well the $$gamma Z^0$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mrow><mml:mi>γ</mml:mi><mml:msup><mml:mi>Z</mml:mi><mml:mn>0</mml:mn></mml:msup></mml:mrow></mml:math> interference. We find that the decay channel $$(rho ^-nu _tau )times (rho ^+ {bar{nu }}_tau )$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:msup><mml:mi>ρ</mml:mi><mml:mo>-</mml:mo></mml:msup><mml:msub><mml:mi>ν</mml:mi><mml:mi>τ</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow><mml:mo>×</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:msup><mml:mi>ρ</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msub><mml:mover><mml:mrow><mml:mi>ν</mml:mi></mml:mrow><mml:mrow><mml:mo>¯</mml:mo></mml:mrow></mml:mover><mml:mi>τ</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math> yields the best resolution for Re $$F_2(s)$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mi>s</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math> and Im $$F_2(s)$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mi>s</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math> due to its high branching fraction. We also study the bias that is introduced in the determination of $$F_2$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:msub><mml:mi>F</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:math> , if the production spin-density matrix is taken in tree-level (one-photon exchange) approximation." @default.
- W3206131191 created "2021-10-25" @default.
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- W3206131191 date "2022-05-01" @default.
- W3206131191 modified "2023-10-18" @default.
- W3206131191 title "Effects of order $$alpha ^3$$ on the determination of the Pauli form factor $$F_2$$ of the $$tau $$-lepton" @default.
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- W3206131191 doi "https://doi.org/10.1140/epjc/s10052-022-10356-3" @default.
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