P and CP solution of the strong CP puzzle
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866909080945164288 |
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| author | Kuchimanchi, Ravi |
| author_facet | Kuchimanchi, Ravi |
| contents | We use parity (P) to set $θ_{QCD}$ to zero in the minimal left-right symmetric model with a bi-doublet Higgs, add a heavy vectorlike quark family, and obtain in a novel manner the Nelson Barr (NB) form associated so far only with spontaneous CP solution to the strong CP Puzzle. Our solution does not have the `coincidence of scales problem', that typically plagues NB models. P protects $\barθ$, if it breaks at a scale $v_R$ below the mass $M$ of the heavy quarks, and $\barθ \sim 10^{-9} (v_R/M)^2$ is radiatively generated, which can be acceptably small. On the other hand, if $M < v_R$, the $\barθ \sim 10^{-9}$ generated by the NB mechanism is too large, but if $δ_{CKM}$ is obtained without the NB form, surprisingly a lower irreducible $\barθ \sim (10^{-13}~to~10^{-10}) ln( {v_R/M)}$, testable by neutron EDM experiments is generated. No leptonic CP violation is generated (Dirac phase $δ_{CP} = 0~or~π$ in PMNS matrix) which makes the minimal model testable by neutrino experiments. We also discuss some challenges in a non-minimal model that generates leptonic CP violation. Lastly but importantly, we find with doublet rather than bi-doublet Higgses, that there is an automatic NB solution on imposing CP (the NB form is accidental due to $SU(2)_R$), which does not require generalized parity and needs just one mirror generation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_03039 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | P and CP solution of the strong CP puzzle Kuchimanchi, Ravi High Energy Physics - Phenomenology High Energy Physics - Experiment We use parity (P) to set $θ_{QCD}$ to zero in the minimal left-right symmetric model with a bi-doublet Higgs, add a heavy vectorlike quark family, and obtain in a novel manner the Nelson Barr (NB) form associated so far only with spontaneous CP solution to the strong CP Puzzle. Our solution does not have the `coincidence of scales problem', that typically plagues NB models. P protects $\barθ$, if it breaks at a scale $v_R$ below the mass $M$ of the heavy quarks, and $\barθ \sim 10^{-9} (v_R/M)^2$ is radiatively generated, which can be acceptably small. On the other hand, if $M < v_R$, the $\barθ \sim 10^{-9}$ generated by the NB mechanism is too large, but if $δ_{CKM}$ is obtained without the NB form, surprisingly a lower irreducible $\barθ \sim (10^{-13}~to~10^{-10}) ln( {v_R/M)}$, testable by neutron EDM experiments is generated. No leptonic CP violation is generated (Dirac phase $δ_{CP} = 0~or~π$ in PMNS matrix) which makes the minimal model testable by neutrino experiments. We also discuss some challenges in a non-minimal model that generates leptonic CP violation. Lastly but importantly, we find with doublet rather than bi-doublet Higgses, that there is an automatic NB solution on imposing CP (the NB form is accidental due to $SU(2)_R$), which does not require generalized parity and needs just one mirror generation. |
| title | P and CP solution of the strong CP puzzle |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2306.03039 |