Dispersive and absorptive C P violation in D 0 − D ¯ 0 mixing

Kagan, Alexander L.; Silvestrini, Luca

doi:10.1103/PhysRevD.103.053008

Title: Dispersive and absorptive $C P$ violation in $D^{0} - {\bar{D}}^{0}$ mixing

Journal Article · Wed Mar 24 00:00:00 EDT 2021 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.103.053008· OSTI ID:1772510

Kagan, Alexander L.;

CP violation (CPV) in $$D^0 – \bar{D}^0$$ mixing is described in terms of the dispersive and absorptive “weak phases” $$Φ^{M}_{f}$$ and $$Φ^{Γ}_{f}$$. They parametrize CPV originating from the interference of D⁰ decays with and without dispersive mixing, and with and without absorptive mixing, respectively, for CP conjugate hadronic final states $$f,\bar{f}$$. These are distinct and separately measurable effects. For CP eigenstate final states, indirect CPV only depends on $$Φ^{M}_{f}$$ (dispersive CPV), whereas $$Φ^{Γ}_{f}$$ (absorptive CPV) can only be probed with non- CP eigenstate final states. Measurements of the final state dependent phases $$Φ^{M}_{f}$$, $$Φ^{Γ}_{f}$$ determine the intrinsic dispersive and absorptive mixing phases $$Φ^{M}_{2}$$ and $$Φ^{Γ}_{2}$$. The latter are the arguments of the dispersive and absorptive mixing amplitudes M₁₂ and Γ₁₂, relative to their dominant (ΔU = 2) U-spin components. The intrinsic phases are experimentally accessible due to approximate universality: in the SM, and in extensions with negligible new CPV phases in Cabibbo favored/doubly Cabibbo suppressed (CF/DCS) decays, the deviation of $$Φ^{M,Γ}_{f}$$ from $$Φ^{M,Γ}_ {2}$$ is negligible in CF/DCS decays D⁰ → K^±X, and below 10% in CF/DCS decays D⁰ → K_S,L X (up to precisely known O(ε_K ) corrections). In singly Cabibbo suppressed (SCS) decays, QCD pollution enters at O(ε) in U -spin breaking and can be significant, but is O(ε²) in the average over f = K⁺ K^–, π⁺ π^–. SM estimates yield $$Φ^{M}_{2}$$, $$Φ^{Γ}_{2}$$ = O(0.2 %). A fit to current data allows O(10) larger phases at 2σ, from new physics. A fit based on naively extrapolated experimental precision suggests that sensitivity to $$Φ^{M}_{2}$$ and $$Φ^{Γ}_{2}$$ in the SM may be achieved at the LHCb Phase II upgrade.

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Research Organization:: Univ. of Cincinnati, OH (United States)

Sponsoring Organization:: USDOE Office of Science (SC); European Research Council (ERC); National Science Foundation (NSF)

Grant/Contract Number:: SC0011784; 772369; PHY-1607611

OSTI ID:: 1772510

Alternate ID(s):: OSTI ID: 1851549

Journal Information:: Physical Review D, Journal Name: Physical Review D Vol. 103 Journal Issue: 5; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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Title: Dispersive and absorptive $C P$ violation in $D^{0} - {\bar{D}}^{0}$ mixing