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      Ruling out the massless up-quark solution to the strong CP problem by computing the topological mass contribution with lattice QCD

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          Abstract

          The infamous strong CP problem in particle physics can in principle be solved by a massless up quark. In particular, it was hypothesised that topological effects could substantially contribute to the observed non-zero up-quark mass without reintroducing CP violation. Alternatively to previous work using fits to chiral perturbation theory, in this letter we bound the strength of the topological mass contribution with direct lattice QCD simulations by computing the dependence of the pion mass on the dynamical strange-quark mass. We find that the size of the topological mass contribution is inconsistent with the massless up-quark solution to the strong CP problem.

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          Author and article information

          Journal
          18 February 2020
          Article
          2002.07802

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

          Custom metadata
          9 pages, 3 figures
          hep-lat hep-ph hep-th

          High energy & Particle physics

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