REVIEW 11 cited by
Heavy Quark Effective Theory beyond Perturbation Theory: Renormalons, the Pole Mass and the Residual Mass Term
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
Heavy Quark Effective Theory beyond Perturbation Theory: Renormalons, the Pole Mass and the Residual Mass Term
read the original abstract
We study the asymptotic behaviour of the perturbative series in the heavy quark effective theory (HQET) using the $1/N_f$ expansion. We find that this theory suffers from an {\it ultraviolet} renormalon problem, corresponding to a non-Borel-summable behaviour of perturbation series in large orders, and leading to a principal nonperturbative ambiguity in its definition. This ambiguity is related to an {\it infrared} renormalon in the pole mass and can be understood as the necessity to include the residual mass term $\delta m$ in the definition of HQET, which must be considered as ambiguous (and possibly complex), and is required to cancel the ultraviolet renormalon singularity generated by the perturbative expansion. The formal status of $\delta m$ is thus identical to that of condensates in the conventional short-distance expansion of correlation functions in QCD. The status of the pole mass of a heavy quark, the operator product expansion for inclusive decays, and QCD sum rules in the HQET are discussed in this context.
Forward citations
Cited by 11 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.
-
Renormalon subtracted nonrelativistic QCD for heavy hadron systems
MRS-pNRQCD plus GFMC stabilizes heavy-hadron spectroscopy; NNLO baryon masses undershoot lattice QCD by 125–175 MeV with 1/m_Q scaling, and a critical mass ratio for tetraquark binding is extracted.
-
Gauge-Invariant Off-Shell Mass
A segment-local Ward–Takahashi cancellation makes the fermion self-energy equal to its Feynman-gauge value off shell, yielding a gauge-invariant, on-shell-renormalized mass function m(q).
-
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.
-
Trans-series from condensates in the non-linear sigma model
A new O(N)-symmetric perturbative framework for the 2D NLSM derived from the LSM limit reproduces the perturbative two-point function and its first exponentially small condensate correction at NLO in 1/N, matching the...
-
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...
-
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...
-
Correlator of heavy-light quark currents in HQET in the large $\beta_0$ limit
The perturbative heavy-light current correlator in HQET is computed to O(m_q²) at leading order in 1/β₀, and its UV/IR renormalon poles are mapped.
-
Correlator of heavy-light quark currents in HQET in the large $\beta_0$ limit
Perturbative HQET correlator of heavy-light currents computed to O(m_q²) at leading 1/β₀ order with explicit renormalon-pole locations.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.