Hyperasymptotic approximation to the top, bottom and charm pole mass

Abstract

We construct hyperasymptotic expansions for the heavy quark pole mass regulated using the principal value (PV) prescription. We apply such hyperasymptotic expansions to the $B/D$ meson masses, and $\bar{\Lambda }$ computed in the lattice. The issue of the uncertainty of the (top) pole mass is critically reexamined. The present theoretical uncertainty in the relation between ${\bar{m}}_t$, the $\overline{\mathrm{MS}}$ top mass, and $m_{t,\mathrm{PV}}$, the top pole mass regulated using the PV prescription, is numerically assessed to be $\delta m_{t,\mathrm{PV}}=28\mathrm{MeV}$ for ${\bar{m}}_t=163$ GeV.

arXiv comment52 pages, 27 figures; v2: 56 pages, extra clarifications, one extra appendix, added references. Journal version

References in corpus (45)

• Renormalons
• The three loop relation between the \bar {MS} and the pole quark masses
• The Nf=0 heavy quark potential from short to intermediate distances
• Heavy Quark Effective Theory beyond Perturbation Theory: Renormalons, the Pole Mass and the Residual Mass Term
• Reparameterisation Invariance Constraints on Heavy Particle Effective Field Theories
• Quark mass relations to four-loop order
• Resummation of $({\beta }_0{\alpha }_s{)}^n$ Corrections in QCD: Techniques and Applications to the $\tau$ Hadronic Width and the Heavy Quark Pole Mass
• Running Coupling and the Lambda-Parameter from SU(3) Lattice Simulations
• Short Distance Mass of a Heavy Quark at Order α_s^3
• Complete O(v^2) corrections to the static interquark potential from SU(3) gauge theory
• Measurement of the top quark mass using proton-proton data at sqrt(s) = 7 and 8 TeV
• Determination of the bottom quark mass from the ${\rm Y}(1S)$ system
• The QCD Potential at $O(1/m)$
• Scale Setting in QCD and the Momentum Flow in Feynman Diagrams
• QCD phenomenology of static sources and gluonic excitations at short distances
• Up-, down-, strange-, charm-, and bottom-quark masses from four-flavor lattice QCD
• On the ultimate uncertainty of the top quark pole mass
• Measurement of the top quark mass in the $t\bar{t}\to$ dilepton channel from $\sqrt{s}=8$ TeV ATLAS data
• The Perturbative Pole Mass in QCD
• More on ambiguities in the pole mass
• Perturbative expansion of the energy of static sources at large orders in four-dimensional SU(3) gauge theory
• The bottom quark mass from the ${\rm Y}(1S)$ system at NNNLO
• Compelling evidence of renormalons in QCD from high order perturbative expansions
• Properties of B-Mesons in Lattice QCD
• Model-independent determination of the gluon condensate in four-dimensional SU(3) gauge theory
• Four Loop Result in $SU(3)$ Lattice Gauge Theory by a Stochastic Method: Lattice Correction to the Condensate
• Light quark mass effects in the on-shell renormalization constants
• On the Light Massive Flavor Dependence of the Large Order Asymptotic Behavior and the Ambiguity of the Pole Mass
• The charm/bottom quark mass from heavy quarkonium at N${}^3$LO
• Numerical Stochastic Perturbation Theory for full QCD
• Renormalons Beyond One-Loop
• The MSR Mass and the $\mathcal{O}({\Lambda }_{\mathrm{QCD}})$ Renormalon Sum Rule
• Heavy Quark Spectroscopy and Matrix Elements: A Lattice Study using the Static Approximation
• Static QCD Potential at r < 1/Lambda_QCD: Perturbative expansion and operator-product expansion
• Relations between Heavy-light Meson and Quark Masses
• Superasymptotic and hyperasymptotic approximation to the operator product expansion
• Exploring the Invisible Renormalon: Renormalization of the Heavy-Quark Kinetic Energy
• Computation of the Spatial String Tension in High Temperature SU(2) Gauge Theory
• A discussion on leading renormalon in the pole mass
• Dependence of five and six-loop estimated QCD corrections to the relation between pole and running masses of heavy quarks on the number of light flavours
• RESULTS FOR THE B-MESON DECAY CONSTANT FROM THE APE COLLABORATION
• Heavy quark mass determination from the quarkonium ground state energy: a pole mass approach
• QCD perturbation theory at large orders with large renormalization scales in the large ${\beta }_0$ limit
• Constraining renormalon effects in lattice determination of heavy quark mass
• UV contributions to energy of a static quark-antiquark pair in large ${\beta }_0$ approximation

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