Is strong CP due to a massless up quark?

  • 18 December 2001
Abstract
A standing mystery in the Standard Model is the unnatural smallness of the strong CP violating phase, theta_bar \le 10^-9. The possibility of a massless up quark has long been proposed as a potential solution. Several lattice calculations of a combination of the low energy constants of the chiral Lagrangian essential for the determination of the up quark mass, 2 alpha_8 - alpha_5, are presented. We find 2 alpha_8 - alpha_5 = 0.115 \pm 0.051^stat \pm 0.25^syst, which is well outside the range allowing a massless up quark.

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