Compatibility and combination of world W-boson mass measurements
LHC-TeV MW Working Group, S. Amoroso, Nansi Andari, W. Barter, J. Bendavid, M. Boonekamp, S. Farry, M. Grünewald, C. P. Hays, R. J. Hunter, J. Kretzschmar, O. Lupton, M. Pili, M. Ramos Pernas, B. Tuchming, M. Vesterinen, A. Vicini, C. Wang, Menglin Xu
Abstract
Abstract The compatibility of W -boson mass measurements performed by the ATLAS, LHCb, CDF, and D0 experiments is studied using a coherent framework with theory uncertainty correlations. The measurements are combined using a number of recent sets of parton distribution functions (PDF), and are further combined with the average value of measurements from the Large Electron–Positron collider. The considered PDF sets generally have a low compatibility with a suite of global rapidity-sensitive Drell–Yan measurements. The most compatible set is CT18 due to its larger uncertainties. A combination of all $$m_W$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>m</mml:mi> <mml:mi>W</mml:mi> </mml:msub> </mml:math> measurements yields a value of $$m_W = 80{,}394.6 \pm 11.5$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msub> <mml:mi>m</mml:mi> <mml:mi>W</mml:mi> </mml:msub> <mml:mo>=</mml:mo> <mml:mn>80</mml:mn> <mml:mo>,</mml:mo> <mml:mn>394.6</mml:mn> <mml:mo>±</mml:mo> <mml:mn>11.5</mml:mn> </mml:mrow> </mml:math> MeV with the CT18 set, but has a probability of compatibility of 0.5% and is therefore disfavoured. Combinations are performed removing each measurement individually, and a 91% probability of compatibility is obtained when the CDF measurement is removed. The corresponding value of the W boson mass is $$80{,}369.2 \pm 13.3$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mn>80</mml:mn> <mml:mo>,</mml:mo> <mml:mn>369.2</mml:mn> <mml:mo>±</mml:mo> <mml:mn>13.3</mml:mn> </mml:mrow> </mml:math> MeV, which differs by $$3.6\sigma $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mn>3.6</mml:mn> <mml:mi>σ</mml:mi> </mml:mrow> </mml:math> from the CDF value determined using the same PDF set.