Exploring new physics contributions to CP violation in $$\tau ^- \rightarrow K^-\pi ^0\nu _{\tau } $$ τ - → K - π 0 ν τ

Abstract A general analysis of possible violation of CP in processes like $$\tau \rightarrow K\pi \nu $$ τ → K π ν , for unpolarized $$\tau $$ τ is presented. In this paper, we derive the new contributions to the effective Hamiltonian governs $$\vert \Delta S \vert =1$$ | Δ S | = 1 semileptonic tau...

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Main Authors: David Delepine, Gaber Faisel, Carlos A. Ramirez
Format: Article
Language:English
Published: SpringerOpen 2021-04-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-021-09150-4
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author David Delepine
Gaber Faisel
Carlos A. Ramirez
author_facet David Delepine
Gaber Faisel
Carlos A. Ramirez
author_sort David Delepine
collection DOAJ
description Abstract A general analysis of possible violation of CP in processes like $$\tau \rightarrow K\pi \nu $$ τ → K π ν , for unpolarized $$\tau $$ τ is presented. In this paper, we derive the new contributions to the effective Hamiltonian governs $$\vert \Delta S \vert =1$$ | Δ S | = 1 semileptonic tau decays in the framework of two Higgs doublet model with generic Yukawa structure and Leptoquarks models. Within these models, we list all operators, in the effective Hamiltonian and provide analytical expression for their corresponding Wilson coefficients. Moreover, we analyze the role of the different contributions, originating from the scalar, vecor and tensor hadronic currents, in generating direct CP asymmetry in the decay rate of $$\tau ^-\rightarrow K^-\pi ^0\nu _\tau $$ τ - → K - π 0 ν τ . We show that non vanishing direct CP asymmetry in the decay rate of $$\tau ^-\rightarrow K^-\pi ^0\nu _\tau $$ τ - → K - π 0 ν τ can be generated due to the presence of both, the weak phase in the Wilson coefficient corresponding to the tensor operator and the strong phase difference resulting from the interference between the form factors expressing the matrix elements of the vector and tensor hadronic currents. After taking into account all relevant constraints, we find that the generated direct CP asymmetry is of order $$10^{-8}$$ 10 - 8 which is several orders of magnitude larger than the standard model prediction. We show also that, in two Higgs doublet model with generic Yukawa structure , direct local or non integrated CP violation can be as large as 0.3 % not far from experimental possibilities. This kind of asymmetry can be generated due to the interference between vector and scalar contributions with different weak phases which is not the case in the SM.
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spelling doaj.art-07caf7524a3e4a76809961d7ee31a9092022-12-21T20:24:47ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522021-04-0181411510.1140/epjc/s10052-021-09150-4Exploring new physics contributions to CP violation in $$\tau ^- \rightarrow K^-\pi ^0\nu _{\tau } $$ τ - → K - π 0 ν τDavid Delepine0Gaber Faisel1Carlos A. Ramirez2Division de Ciencias e Ingenierías, Universidad de GuanajuatoDepartment of Physics, Faculty of Arts and Sciences, Süleyman Demirel UniversityDepto. de Física, Universidad de los AndesAbstract A general analysis of possible violation of CP in processes like $$\tau \rightarrow K\pi \nu $$ τ → K π ν , for unpolarized $$\tau $$ τ is presented. In this paper, we derive the new contributions to the effective Hamiltonian governs $$\vert \Delta S \vert =1$$ | Δ S | = 1 semileptonic tau decays in the framework of two Higgs doublet model with generic Yukawa structure and Leptoquarks models. Within these models, we list all operators, in the effective Hamiltonian and provide analytical expression for their corresponding Wilson coefficients. Moreover, we analyze the role of the different contributions, originating from the scalar, vecor and tensor hadronic currents, in generating direct CP asymmetry in the decay rate of $$\tau ^-\rightarrow K^-\pi ^0\nu _\tau $$ τ - → K - π 0 ν τ . We show that non vanishing direct CP asymmetry in the decay rate of $$\tau ^-\rightarrow K^-\pi ^0\nu _\tau $$ τ - → K - π 0 ν τ can be generated due to the presence of both, the weak phase in the Wilson coefficient corresponding to the tensor operator and the strong phase difference resulting from the interference between the form factors expressing the matrix elements of the vector and tensor hadronic currents. After taking into account all relevant constraints, we find that the generated direct CP asymmetry is of order $$10^{-8}$$ 10 - 8 which is several orders of magnitude larger than the standard model prediction. We show also that, in two Higgs doublet model with generic Yukawa structure , direct local or non integrated CP violation can be as large as 0.3 % not far from experimental possibilities. This kind of asymmetry can be generated due to the interference between vector and scalar contributions with different weak phases which is not the case in the SM.https://doi.org/10.1140/epjc/s10052-021-09150-4
spellingShingle David Delepine
Gaber Faisel
Carlos A. Ramirez
Exploring new physics contributions to CP violation in $$\tau ^- \rightarrow K^-\pi ^0\nu _{\tau } $$ τ - → K - π 0 ν τ
European Physical Journal C: Particles and Fields
title Exploring new physics contributions to CP violation in $$\tau ^- \rightarrow K^-\pi ^0\nu _{\tau } $$ τ - → K - π 0 ν τ
title_full Exploring new physics contributions to CP violation in $$\tau ^- \rightarrow K^-\pi ^0\nu _{\tau } $$ τ - → K - π 0 ν τ
title_fullStr Exploring new physics contributions to CP violation in $$\tau ^- \rightarrow K^-\pi ^0\nu _{\tau } $$ τ - → K - π 0 ν τ
title_full_unstemmed Exploring new physics contributions to CP violation in $$\tau ^- \rightarrow K^-\pi ^0\nu _{\tau } $$ τ - → K - π 0 ν τ
title_short Exploring new physics contributions to CP violation in $$\tau ^- \rightarrow K^-\pi ^0\nu _{\tau } $$ τ - → K - π 0 ν τ
title_sort exploring new physics contributions to cp violation in tau rightarrow k pi 0 nu tau τ k π 0 ν τ
url https://doi.org/10.1140/epjc/s10052-021-09150-4
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