Plots for the Phase I of
Opportunities in Flavour Physics at the HL-LHC and HE-LHC

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The global CKM fit in the large (ρ-bar,η-bar) plane
The global CKM fit in the small (ρ-bar,η-bar) plane (zoom)
The global CKM fit in the large (ρ̅M, η̅M) plane with M = sb and uc


The global CKM fit in the large (ρ-bar,η-bar) plane:

Constraints in the (ρ-bar,η-bar) plane. The red hashed region of the global combination corresponds to 68% CL.
α, β, γ
convention
ϕ1, ϕ2, ϕ3
convention

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The global CKM fit in the small (ρ-bar,η-bar) plane (zoom):

Zoomed constraints in the (ρ-bar,η-bar) plane.The red hashed region of the global combination corresponds to 68% CL.
α, β, γ
convention
ϕ1, ϕ2, ϕ3
convention

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Zoomed constraints in the (ρ-bar,η-bar) plane not including the angle measurements in the global fit.
α, β, γ
convention
ϕ1, ϕ2, ϕ3
convention

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Constraints in the (ρ-bar,η-bar) plane including only the angle measurements.
α, β, γ
convention
ϕ1, ϕ2, ϕ3
convention

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Constraints from CP conserving quantities (|Vub / Vcb|, Δmd, (Δmd and Δms) and B+ →τ+ ν) in the (ρ-bar,η-bar) plane.
α, β, γ
convention
ϕ1, ϕ2, ϕ3
convention

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Constraints from CP violating quantities (sin(2β), α, γ and εk) in the (ρ-bar,η-bar) plane.
α, β, γ
convention
ϕ1, ϕ2, ϕ3
convention

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Constraints from "Tree" quantities in the (ρ-bar,η-bar) plane (involving γ(DK) and α from the isospin analysis with the help of sin2β (charmonium), which gives another tree only γ measurement (the only assumption is that the ΔI=3/2 b-->d EW penguin amplitude is negligible)).
α, β, γ
convention
ϕ1, ϕ2, ϕ3
convention

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Constraints from "Tree" quantities in the (ρ-bar,η-bar) plane (involving γ(DK) and α from the isospin analysis with the help of sin2β (charmonium), which gives another tree only γ measurement (the only assumption is that the ΔI=3/2 b-->d EW penguin amplitude is negligible)). The constraints from γ(DK) and γ(α)=π-α-β are shown.
α, β, γ
convention
ϕ1, ϕ2, ϕ3
convention

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Constraints from "Tree" quantities in the (ρ-bar,η-bar) plane, with only input on |Vub| from semileptonic decays (involving γ(DK) and α from the isospin analysis with the help of sin2β (charmonium), which gives another tree only γ measurement (the only assumption is that the ΔI=3/2 b-->d EW penguin amplitude is negligible)).
α, β, γ
convention
ϕ1, ϕ2, ϕ3
convention

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Constraints from "Tree" quantities in the (ρ-bar,η-bar) plane (only γ(DK) is used).
α, β, γ
convention
ϕ1, ϕ2, ϕ3
convention

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Constraints from "Tree" quantities in the (ρ-bar,η-bar) plane with only input on |Vub| from semileptonic decays (ony γ(DK) is used).
α, β, γ
convention
ϕ1, ϕ2, ϕ3
convention

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Constraints from "Loop" quantities in the (ρ-bar,η-bar) plane.
α, β, γ
convention
ϕ1, ϕ2, ϕ3
convention

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Constraints in the (ρ-bar,η-bar) plane, not including the braching ratio of B+ → τ+ν in the global fit.
α, β, γ
convention
ϕ1, ϕ2, ϕ3
convention

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Constraints in the (ρ-bar,η-bar) plane not including the measurement of sin2β in the global fit.
α, β, γ
convention
ϕ1, ϕ2, ϕ3
convention

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The global CKM fit in the large (ρ̅M, η̅M) plane
with M = sb and uc:

The constraints can be expressed in the unitarity triangles associated with the different mesons of interest, with the relative coordinates of the upper appex of each triangle defined as
ρ̅d1d2+iη̅d1d2 =-(Vud1Vud2*)/(Vcd1Vcd2*),     ρ̅u1u2+iη̅u1u2 =-(Vu1dVu2d*)/(Vu1sVu2s*).
Constraints in the (ρ̅sb, η̅sb) plane. The red hashed region of the global combination corresponds to 68% CL.
α, β, γ
convention
ϕ1, ϕ2, ϕ3
convention

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Constraints in the (ρ̅cu, η̅cu) plane. The red hashed region of the global combination corresponds to 68% CL.
α, β, γ
convention
ϕ1, ϕ2, ϕ3
convention

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