REVIEW 7 cited by
The Pole Mass of The Heavy Quark. Perturbation Theory and Beyond
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
The Pole Mass of The Heavy Quark. Perturbation Theory and Beyond
read the original abstract
The key quantity of the heavy quark theory is the quark mass $m_Q$. Since quarks are unobservable one can suggest different definitions of $m_Q$. One of the most popular choices is the pole quark mass routinely used in perturbative calculations and in some analyses based on heavy quark expansions. We show that no precise definition of the pole mass can be given in the full theory once non-perturbative effects are included. Any definition of this quantity suffers from an intrinsic uncertainty of order $\Lam /m_Q$. This fact is succinctly described by the existence of an infrared renormalon generating a factorial divergence in the high-order coefficients of the $\alpha_s$ series; the corresponding singularity in the Borel plane is situated at $2\pi /b$. A peculiar feature is that this renormalon is not associated with the matrix element of a local operator. The difference $\La \equiv M_{H_Q}-m_Q^{pole}$ can still be defined in Heavy Quark Effective Theory, but only at the price of introducing an explicit dependence on a normalization point $\mu$: $\La (\mu )$. Fortunately the pole mass $m_Q(0)$ {\em per se} does not appear in calculable observable quantities.
Forward citations
Cited by 7 Pith papers
-
Next-to-next-to-leading QCD corrections to the $\mathbf{B^+}$-$\mathbf{B_d^0}$, $\mathbf{D^+}$-$\mathbf{D^0}$, and $\mathbf{D_s^+}$-$\mathbf{D^0}$ lifetime ratios
Three-loop perturbative corrections to B and D meson lifetime ratios are calculated, producing values that agree with experiment when using HQET sum rules or lattice inputs.
-
SCET sum rules for $B\to D_1(2420)$ and $B\to D_1'(2430)$ form factors at next-to-leading order
First O(αs) SCET light-cone sum rules for B o D1 and B o D1' form factors yield R(D1)=0.070+0.028-0.018 and R(D1')=0.159+0.032-0.025.
-
The Fate of Ultra-Collinear Modes in On-Shell Massive Sudakov Form Factors
Ultra-collinear modes cancel to all orders in on-shell massive Sudakov form factors by gauge invariance, preserving SCET_II factorization, with explicit two-loop soft and jet functions computed via eta regulator and N...
-
Random Reshuffling-Based Distributed Nash Equilibrium Seeking
Random reshuffling enables distributed Nash equilibrium seeking with linear convergence to a neighborhood under constant steps and exact almost-sure convergence under diminishing steps.
-
Inclusive charm and bottom quark pair production cross sections at hadron colliders at next-to-next-to-leading-order accuracy
NNLO QCD calculations using the MaunaKea code enhance c cbar and b bbar production cross sections by up to a factor of two over NLO predictions, reduce scale uncertainties, and match experimental data from 10 GeV to 1...
-
New Predictions for the Lifetimes of Doubly Heavy Baryons and the $B_c$ Meson
Updated lifetime predictions for doubly heavy baryons and B_c meson with NNLO and NLO corrections in MS-bar, kinetic, and Upsilon mass schemes, including new hierarchies for bc states.
-
Random Reshuffling-Based Distributed Nash Equilibrium Seeking
Random reshuffling yields distributed Nash-seeking algorithms that, under partial decision information, converge linearly to a neighborhood (constant steps) or exactly a.s./in mean square (diminishing steps), outperfo...
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.