The hadronic $$\tau $$ τ decay $$\tau ^-\rightarrow K_1^-\nu _\tau \rightarrow (K^-\omega ) \nu _\tau \rightarrow (K^- \pi ^+\pi ^-\pi ^0)\nu _\tau $$ τ - → K 1 - ν τ → ( K - ω ) ν τ → ( K - π + π - π 0 ) ν τ and the axial vector mixing angle
Abstract We propose to measure the $$\tau ^-\rightarrow K_1^-\nu _\tau \rightarrow (K^-\omega ) \nu _\tau \rightarrow (K^- \pi ^+\pi ^-\pi ^0)\nu _\tau \ $$ τ - → K 1 - ν τ → ( K - ω ) ν τ → ( K - π + π - π 0 ) ν τ decay in order to determine the $$K_1$$ K 1 axial vector mixing angle $$\theta _{K_1}...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-06-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-021-09303-5 |
| _version_ | 1818657466452279296 |
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| author | K. Hayasaka Z. Huang E. Kou |
| author_facet | K. Hayasaka Z. Huang E. Kou |
| author_sort | K. Hayasaka |
| collection | DOAJ |
| description | Abstract We propose to measure the $$\tau ^-\rightarrow K_1^-\nu _\tau \rightarrow (K^-\omega ) \nu _\tau \rightarrow (K^- \pi ^+\pi ^-\pi ^0)\nu _\tau \ $$ τ - → K 1 - ν τ → ( K - ω ) ν τ → ( K - π + π - π 0 ) ν τ decay in order to determine the $$K_1$$ K 1 axial vector mixing angle $$\theta _{K_1}$$ θ K 1 . We derive, for the first time, the differential decay rate formula for this decay mode. Using the obtained result, we perform a sensitivity study for the Belle (II) experiment. We will show that the $$K^-\pi ^+\pi ^-\pi ^0$$ K - π + π - π 0 spectrum of the $$\tau ^-\rightarrow K_1^-\nu _\tau \rightarrow (K^-\omega ) \nu _\tau \rightarrow (K^- \pi ^+\pi ^-\pi ^0)\nu _\tau \ $$ τ - → K 1 - ν τ → ( K - ω ) ν τ → ( K - π + π - π 0 ) ν τ decay can discriminate the two solutions $$\theta _{K_1}=\sim 30^{\circ }$$ θ K 1 = ∼ 30 ∘ or $$\sim 60^{\circ }$$ ∼ 60 ∘ observed in the other measurements. |
| first_indexed | 2024-12-17T03:41:56Z |
| format | Article |
| id | doaj.art-2b8d6aba903f47b29cd472f550a1c3e7 |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-17T03:41:56Z |
| publishDate | 2021-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-2b8d6aba903f47b29cd472f550a1c3e72022-12-21T22:04:59ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522021-06-018161710.1140/epjc/s10052-021-09303-5The hadronic $$\tau $$ τ decay $$\tau ^-\rightarrow K_1^-\nu _\tau \rightarrow (K^-\omega ) \nu _\tau \rightarrow (K^- \pi ^+\pi ^-\pi ^0)\nu _\tau $$ τ - → K 1 - ν τ → ( K - ω ) ν τ → ( K - π + π - π 0 ) ν τ and the axial vector mixing angleK. Hayasaka0Z. Huang1E. Kou2Niigata UniversityUniversité Paris-Saclay, CNRS/IN2P3, IJCLabUniversité Paris-Saclay, CNRS/IN2P3, IJCLabAbstract We propose to measure the $$\tau ^-\rightarrow K_1^-\nu _\tau \rightarrow (K^-\omega ) \nu _\tau \rightarrow (K^- \pi ^+\pi ^-\pi ^0)\nu _\tau \ $$ τ - → K 1 - ν τ → ( K - ω ) ν τ → ( K - π + π - π 0 ) ν τ decay in order to determine the $$K_1$$ K 1 axial vector mixing angle $$\theta _{K_1}$$ θ K 1 . We derive, for the first time, the differential decay rate formula for this decay mode. Using the obtained result, we perform a sensitivity study for the Belle (II) experiment. We will show that the $$K^-\pi ^+\pi ^-\pi ^0$$ K - π + π - π 0 spectrum of the $$\tau ^-\rightarrow K_1^-\nu _\tau \rightarrow (K^-\omega ) \nu _\tau \rightarrow (K^- \pi ^+\pi ^-\pi ^0)\nu _\tau \ $$ τ - → K 1 - ν τ → ( K - ω ) ν τ → ( K - π + π - π 0 ) ν τ decay can discriminate the two solutions $$\theta _{K_1}=\sim 30^{\circ }$$ θ K 1 = ∼ 30 ∘ or $$\sim 60^{\circ }$$ ∼ 60 ∘ observed in the other measurements.https://doi.org/10.1140/epjc/s10052-021-09303-5 |
| spellingShingle | K. Hayasaka Z. Huang E. Kou The hadronic $$\tau $$ τ decay $$\tau ^-\rightarrow K_1^-\nu _\tau \rightarrow (K^-\omega ) \nu _\tau \rightarrow (K^- \pi ^+\pi ^-\pi ^0)\nu _\tau $$ τ - → K 1 - ν τ → ( K - ω ) ν τ → ( K - π + π - π 0 ) ν τ and the axial vector mixing angle European Physical Journal C: Particles and Fields |
| title | The hadronic $$\tau $$ τ decay $$\tau ^-\rightarrow K_1^-\nu _\tau \rightarrow (K^-\omega ) \nu _\tau \rightarrow (K^- \pi ^+\pi ^-\pi ^0)\nu _\tau $$ τ - → K 1 - ν τ → ( K - ω ) ν τ → ( K - π + π - π 0 ) ν τ and the axial vector mixing angle |
| title_full | The hadronic $$\tau $$ τ decay $$\tau ^-\rightarrow K_1^-\nu _\tau \rightarrow (K^-\omega ) \nu _\tau \rightarrow (K^- \pi ^+\pi ^-\pi ^0)\nu _\tau $$ τ - → K 1 - ν τ → ( K - ω ) ν τ → ( K - π + π - π 0 ) ν τ and the axial vector mixing angle |
| title_fullStr | The hadronic $$\tau $$ τ decay $$\tau ^-\rightarrow K_1^-\nu _\tau \rightarrow (K^-\omega ) \nu _\tau \rightarrow (K^- \pi ^+\pi ^-\pi ^0)\nu _\tau $$ τ - → K 1 - ν τ → ( K - ω ) ν τ → ( K - π + π - π 0 ) ν τ and the axial vector mixing angle |
| title_full_unstemmed | The hadronic $$\tau $$ τ decay $$\tau ^-\rightarrow K_1^-\nu _\tau \rightarrow (K^-\omega ) \nu _\tau \rightarrow (K^- \pi ^+\pi ^-\pi ^0)\nu _\tau $$ τ - → K 1 - ν τ → ( K - ω ) ν τ → ( K - π + π - π 0 ) ν τ and the axial vector mixing angle |
| title_short | The hadronic $$\tau $$ τ decay $$\tau ^-\rightarrow K_1^-\nu _\tau \rightarrow (K^-\omega ) \nu _\tau \rightarrow (K^- \pi ^+\pi ^-\pi ^0)\nu _\tau $$ τ - → K 1 - ν τ → ( K - ω ) ν τ → ( K - π + π - π 0 ) ν τ and the axial vector mixing angle |
| title_sort | hadronic tau τ decay tau rightarrow k 1 nu tau rightarrow k omega nu tau rightarrow k pi pi pi 0 nu tau τ k 1 ν τ k ω ν τ k π π π 0 ν τ and the axial vector mixing angle |
| url | https://doi.org/10.1140/epjc/s10052-021-09303-5 |
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