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High Energy Physics - Lattice

arXiv:2111.00288 (hep-lat)
[Submitted on 30 Oct 2021 (v1), last revised 30 Nov 2021 (this version, v2)]

Title:Lattice QCD results for the topological up-quark mass contribution: too small to rescue the $m_u=0$ solution to the strong CP problem

Authors:Constantia Alexandrou, Jacob Finkenrath, Lena Funcke, Karl Jansen, Bartosz Kostrzewa, Ferenc Pittler, Carsten Urbach
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Abstract:A vanishing Yukawa coupling of the up quark could in principle solve the strong CP problem. To render this solution consistent with current algebra results, the up quark must receive an alternative mass contribution that conserves CP symmetry. Such a contribution could be provided by QCD through non-perturbative topological effects, including instantons. In this talk, we present the first direct lattice computation of this topological mass contribution, using gauge configurations generated by the Extended Twisted Mass collaboration. We use the Iwasaki gauge action, Wilson twisted mass fermions at maximal twist, and dynamical up, down, strange and charm quarks. Our result for the topological mass contribution is an order of magnitude too small to account for the phenomenologically required up-quark mass. This rules out the "massless" up-quark solution to the strong CP problem, in accordance with previous results relying on $\chi$PT fits to lattice data. The talk is based on [Alexandrou et al., PRL 125, 232001 (2020)], where more details can be found.
Comments: 12 pages, 3 figures, proceedings of the 38th International Symposium on Lattice Field Theory, 26th-30th July 2021, Zoom/Gather@Massachusetts Institute of Technology
Subjects: High Energy Physics - Lattice (hep-lat); High Energy Physics - Phenomenology (hep-ph)
Report number: MIT-CTP/5347
Cite as: arXiv:2111.00288 [hep-lat]
  (or arXiv:2111.00288v2 [hep-lat] for this version)
  https://doi.org/10.48550/arXiv.2111.00288

Submission history

From: Lena Funcke [view email]
[v1] Sat, 30 Oct 2021 16:52:55 UTC (218 KB)
[v2] Tue, 30 Nov 2021 23:12:36 UTC (218 KB)
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