In this study,we investigate the invariant-mass distribution of top-quark pairs near the 2mt threshold,which strongly influences the determination of the top-quark mass mt.Higher-order non-relativistic corrections lea...In this study,we investigate the invariant-mass distribution of top-quark pairs near the 2mt threshold,which strongly influences the determination of the top-quark mass mt.Higher-order non-relativistic corrections lead to large contributions,which are not included in the state-of-the-art theoretical predictions.A factorization formula is derived to resum such corrections to all orders in the strong-coupling,and necessary ingredients are calculated to perform the resummation at next-to-leading power.We combine the resummation with fixed-order results and present phenomenologically relevant numerical results.The resummation effect significantly increases the differential cross-section in the threshold region and makes the theoretical prediction more compatible with experimental data.We estimate that using our prediction in the determination of mt will lead to a value closer to the direct measurement result.展开更多
基金Supported in part by the National Natural Science Foundation of China(11975030,11635001,11575004)W.-L.Ju was Supported in part by the China Postdoctoral Science Foundation(2017M610685)。
文摘In this study,we investigate the invariant-mass distribution of top-quark pairs near the 2mt threshold,which strongly influences the determination of the top-quark mass mt.Higher-order non-relativistic corrections lead to large contributions,which are not included in the state-of-the-art theoretical predictions.A factorization formula is derived to resum such corrections to all orders in the strong-coupling,and necessary ingredients are calculated to perform the resummation at next-to-leading power.We combine the resummation with fixed-order results and present phenomenologically relevant numerical results.The resummation effect significantly increases the differential cross-section in the threshold region and makes the theoretical prediction more compatible with experimental data.We estimate that using our prediction in the determination of mt will lead to a value closer to the direct measurement result.