Review of lattice results concerning low-energy particle physics

By S. Aoki, Yasumichi Aoki, D. Bečirević, C. Bernard, Tom Blum, G. Colangelo, M. Morte, P. Dimopoulos, S. Durr, H. Fukaya and 22 more. The European Physical Journal C, 2016

761 citations recorded by the source corpus.

We review lattice results related to pion, kaon, D- and B-meson physics with the aim of making them easily accessible to the particle-physics community. More specifically, we report on the determination of the light-quark masses, the form factor $$f_+(0)$$f+(0), arising in the semileptonic $$K \rightarrow \pi $$K→π transition at zero momentum transfer, as well as the decay constant ratio $$f_K/f_\pi $$fK/fπ and its consequences for the CKM matrix elements $$V_{us}$$Vus and $$V_{ud}$$Vud. Furthermore, we describe the results obtained on the lattice for some of the low-energy constants of $$SU(2)_L\times SU(2)_R$$SU(2)L×SU(2)R and $$SU(3)_L\times SU(3)_R$$SU(3)L×SU(3)R Chiral Perturbation Theory. We review the determination of the $$B_K$$BK parameter of neutral kaon mixing as well as the additional four B parameters that arise in theories of physics beyond the Standard Model. The latter quantities are an addition compared to the previous review. For the heavy-quark sector, we provide results for $$m_c$$mc and $$m_b$$mb (also new compared to the previous review), as well as those for D- and B-meson-decay constants, form factors, and mixing parameters. These are the heavy-quark quantities most relevant for the determination of CKM matrix elements and the global CKM unitarity-triangle fit. Finally, we review the status of lattice determinations of the strong coupling constant $$\alpha _s$$αs.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/30884dc2b771ae6861a6bd9bb8cd3fbaa21f70f3

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Citations in the corpus

Constraining new physics in b → cℓν transitions (2018, methodology): “The FLAG collaboration has performed an average of these two computations, fitted to the BCL parametrization [12].”
B →P and B →V form factors from B-meson light-cone sum rules beyond leading twist (2018, neutral): “[17, 49, 54–61].”
Combined explanations of the b→sμ+μ− and b→cτ−ν¯ anomalies: A general model analysis (2018, background): “• Υ(nS)→ µ±τ∓: the branching ratio is BΥ(nS)τµ = f2Υ(nS)m 3 Υ(nS) 48π ΓΥ(nS)M 4 NP (2 + r′τ )(1− r′τ )2 [ |(G1 +G3)bbµτ |2 + |(G1 +G3)bbτµ|2 ] , (9) where r′τ ≡ m2τ/m2Υ(nS), fΥ(1S) = (700± 16) MeV, fΥ(2S) = (496± 21) MeV, and fΥ(3S) = (430± 21) MeV [39].”
On the anomalies in the latest LHCb data (2016, neutral): “en in this calculation, so only this hybrid approach is possible. 5 M B0 = 5:27958(17) GeV [75] M K = 0:89166(26) GeV [75] M B+ = 5:27926(17) GeV [75] M K0 = 0:497614(24) GeV [75] f B = 190:5 4:2 MeV [76] ˝ Bs = 1:512 0:007 ps [75] f Bs = 227:7 4:5 MeV [76] aK 1 (1 GeV)= 0:06 0:03 [77] f K = 156 5 M”
The QCD axion, precisely (2015, methodology): “We thus only need the values of the 3-flavor couplings L7 and L r 8, which can be extracted from chiral fits [37] and lattice QCD [38], we refer to appendix A for more details on the values used.”
PDF4LHC recommendations for LHC Run II (2015, methodology): “ciated uncertainty, s(m2 Z) = 0:1180 0:0015; (26) at the 68% condence level, and both at NLO and at NNLO. This choice is compatible with, but somewhat more conservative than, the current PDG average [128]. It is then recommended that PDF+ suncertainties are determined by rst computing the PDF uncert”
Charged Lepton Flavour Violation: An Experimental and Theoretical Introduction (2017, background): “Coming to the second class of observables, data from Babar [212], Belle [213], and LHCb [214] (averaged in [77]) show a combined ≈ 4σ deviation from the theory predictions [215, 216]:”