An open-economy new Keynesian Phillips curve for the U.K

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Understanding the flattening Phillips curve (2010, background): “Batini, Jackson and Nickell (2005) argue that introducing intermediate materials is important for capturing the behaviour of UK inflation.”
Do Expected Future Marginal Costs Drive Inflation Dynamics (2005, background): “These results are consistent with the estimates obtained by Gali–Gertler (1999), or Batini et al. (2005), for example, and they also imply a degree of inertia in prices similar to that reported by survey estimates.”
Investigating inflation persistence across monetary regimes (2008, methodology): “We construct the labor share measure as in Batini, Jackson, and Nickell (2005), as the ratio of the total compensation of employees to nominal GDP at factor costs, correcting both for self-employees’ jobs, and for the presence of the government sector.”
Empirical Evidence on Inflation Expectations in the New Keynesian Phillips Curve (2014, background): “Batini, Jackson, and Nickell (2005) and Rumler (2007) estimate open-economy NKPCs by GIV on data from European countries, finding a significant role for international variables.”