New Evaluation of the W-Box Correction to Neutron and Nuclear - PowerPoint PPT Presentation

New Evaluation of the γ W-Box Correction to Neutron and Nuclear β -Decay Misha Gorchtein Johannes Gutenberg-Universität Mainz Collaborators: Chien-Yeah Seng, Hiren Patel, Michael Ramsey-Musolf Based on 3 papers: arXiv: 1807.10197 arXiv: 1812.03352 arXiv: 1812.04229 Top Row CKM Unitarity Workshop - John Hardy’s Career Celebration January 7-8, 2019 - The Mitchell Institute, Texas A&M U., College Station, TX USA

�� Current status of V ud and top-row CKM unitarity * Slide stolen from one of John’s talks | V ud | 2 + | V us | 2 + | V ub | 2 = 0 . 9994 ± 0 . 0005 | V ud | 2 = 0 . 94906 ± 0 . 00041 �� 0 + -0 + nuclear decays | V us | 2 = 0 . 05031 ± 0 . 00022 K decays CKM unitarity: V ud the main contributor to the sum and to the uncertainty | V ub | 2 = 0 . 00002 B decays 2

�� Why are superallowed decays special? Superallowed 0 + -0 + nuclear decays: - only conserved vector current (unlike the neutron decay and other mirror decays) - many decays (unlike pion decay) - all decay rates should be the same modulo phase space Experiment: f - phase space (Q value + spectrum profile with Coulomb distortion) and t - partial half-life (t 1/2 , branching ratio) ft values: same within ~2% but not exactly! Reason: SU(2) slightly broken a. RC (e.m. interaction does not conserve isospin) b. Nuclear WF are not SU(2) symmetric (proton and neutron distribution not the same) 3

� �� Why are superallowed decays special? Modified ft-values to include these effects F t = ft (1 + δ 0 R )[1 − ( δ C − δ NS )] δ ’ R - “outer” correction (depends on e-energy) - QED δ C - SU(2) breaking in the nuclear matrix elements - mismatch of radial WF in parent-daughter - mixing of different isospin states δ NS - RC depending on the nuclear structure δ C , δ NS - energy independent Average F t = 3072 . 1 ± 0 . 7 Hardy, Towner 1973 - 2018 4

V ud from free neutron decay 5024 . 49(30) s Free neutron decay: axial coupling | V ud | 2 = τ n (1 + 3 λ 2 )(1 + ∆ V R ) - requires additional measurements λ =g A /g V 5

�� V ud from free neutron decay 5024 . 49(30) s Free neutron decay: axial coupling | V ud | 2 = τ n (1 + 3 λ 2 )(1 + ∆ V R ) - requires additional measurements λ =g A /g V Unfortunate discrepancy between decay in flight vs. trapped UCN λ post 2002 = 1 . 2755(11) τ beam = 888 . 0(2 . 0) s n τ trap = 879 . 4(6) s λ pre 2002 = 1 . 2637(21) n | V n ud | = 0 . 9743(15) If using bottle τ n + post-2002 λ : consistent but 7 times less precise 5

New Evaluation of the W-Box Correction to Neutron and Nuclear - PowerPoint PPT Presentation

New Evaluation of the W-Box Correction to Neutron and Nuclear -Decay Misha Gorchtein Johannes Gutenberg-Universitt Mainz Collaborators: Chien-Yeah Seng, Hiren Patel, Michael Ramsey-Musolf Based on 3 papers: arXiv: 1807.10197 arXiv:

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New Evaluation of the W-Box Correction to Neutron and Nuclear - PowerPoint PPT Presentation

New Evaluation of the W-Box Correction to Neutron and Nuclear -Decay Misha Gorchtein Johannes Gutenberg-Universitt Mainz Collaborators: Chien-Yeah Seng, Hiren Patel, Michael Ramsey-Musolf Based on 3 papers: arXiv: 1807.10197 arXiv:

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