Ratios of W and Z cross sections at large boson p T as a constraint on PDFs and background to new physics

摘要

A bstract We motivate a measurement of various ratios of W and Z cross sections at the Large Hadron Collider (LHC) at large values of the boson transverse momentum ( p ~( T )? M ~(W,Z)). We study the dependence of predictions for these cross-section ratios on the multiplicity of associated jets, the boson p ~( T )and the LHC centre-of-mass energy. We present the flavour decomposition of the initial-state partons and an evaluation of the theoretical uncertainties. We show that the W _(+) /W _(?)ratio is sensitive to the up-quark to down-quark ratio of parton distribution functions (PDFs), while other theoretical uncertainties are negligible, meaning that a precise measurement of the W _(+) /W _(?)ratio at large boson p ~( T )values could constrain the PDFs at larger momentum fractions x than the usual inclusive W charge asymmetry. The W _(±) /Z ratio is insensitive to PDFs and most other theoretical uncertainties, other than possibly electroweak corrections, and a precise measurement will therefore be useful in validating theoretical predictions needed in data-driven methods, such as using W (→ ?ν) + jets events to estimate the Z (→ ν $ overline{u} $ ) + jets background in searches for new physics at the LHC. The differential W and Z cross sections themselves, dσ / d p ~( T ), have the potential to constrain the gluon distribution, provided that theoretical uncertainties from higher-order QCD and electroweak corrections are brought under control, such as by inclusion of anticipated next-to-next-to-leading order QCD corrections.