scholarly journals Pole mass renormalon and its ramifications

2021 ◽  
Vol 230 (12-13) ◽  
pp. 2565-2579 ◽  
Author(s):  
Martin Beneke

AbstractI review the structure of the leading infrared renormalon divergence of the relation between the pole mass and the $$\overline{\mathrm{MS}}$$ MS ¯  mass of a heavy quark, with applications to the top, bottom and charm quark. That the pole quark mass definition must be abandoned in precision computations is a well-known consequence of the rapidly diverging series. The definitions and physics motivations of several leading renormalon-free, short-distance mass definitions suitable for processes involving nearly on-shell heavy quarks are discussed.

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
A. Bouttefeux ◽  
M. Laine

Abstract Many lattice studies of heavy quark diffusion originate from a colour-electric correlator, obtained as a leading term after an expansion in the inverse of the heavy-quark mass. In view of the fact that the charm quark is not particularly heavy, we consider subleading terms in the expansion. Working out correlators up to $$ \mathcal{O} $$ O (1/M2), we argue that the leading corrections are suppressed by $$ \mathcal{O} $$ O (T/M), and one of them can be extracted from a colour-magnetic correlator. The corresponding transport coefficient is non-perturbative already at leading order in the weak-coupling expansion, and therefore requires a non­perturbative determination.


2018 ◽  
Vol 171 ◽  
pp. 13005
Author(s):  
Salvatore Plumari ◽  
Vincenzo Minissale ◽  
Santosh K. Das ◽  
Francesco Scardina ◽  
Vincenzo Greco

In a coalescence plus fragmentation approach we study the pT spectra of charmed hadrons D0, Ds up to about 10 GeV and the Λ+c /D0 ratio from RHIC to LHC energies. In this study we have included the contribution from decays of heavy hadron resonances and also that due to fragmentation of heavy quarks that are left in the system after coalescence. The pT dependence of the heavy baryon/meson ratios is found to be sensitive to the heavy quark mass. In particular we found that the Λc/D0 is much flatter than the one for light baryon/meson ratio like p/π and Λ/K.


2014 ◽  
Vol 26 ◽  
pp. 1460110 ◽  
Author(s):  
C. HIDALGO ◽  
J. NIEVES ◽  
A. OZPINECI ◽  
V. S. ZAMIRALOV

The properties of X(3872) are analyzed starting from a correlation function written in terms of the quark and gluon degrees of freedom. It is shown that in the infinite charm quark mass limit, X(3872) meson should have three other degenerate meson partners. The possible isospin structure of X(3872) is also analyzed and it is concluded that although the observed isospin violation in the decays of X(3872) into the final states J/ψρ and J/ψω is small, X(3872) can contain a sizable I = 1 component.


2001 ◽  
Vol 16 (supp01b) ◽  
pp. 480-482
Author(s):  
PHILIP R. PAGE

We demonstrate from heavy quark symmetry that the width of D(2637) claimed by the DELPHI Collaboration is inconsistent with any bound state with one charm quark predicted in the D(2637) mass region, except possibly the D-wave orbitally excited states [Formula: see text] and [Formula: see text] or the radially excited state D′. The former two possibilities are favoured by heavy quark mass relations.


2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
M. Laine

Abstract Studying the diffusion and kinetic equilibration of heavy quarks within a hot QCD medium profits from the knowledge of a coloured Lorentz force that acts on them. Starting from the spatial components of the vector current, and carrying out two matching computations, one for the heavy quark mass scale (M) and another for thermal scales $$ \left(\sqrt{MT},T\right) $$ MT T , we determine 1-loop matching coefficients for the electric and magnetic parts of a Lorentz force. The magnetic part has a non-zero anomalous dimension, which agrees with that extracted from two other considerations, one thermal and the other in vacuum. The matching coefficient could enable a lattice study of a colour-magnetic 2-point correlator.


2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
M. V. Garzelli ◽  
L. Kemmler ◽  
S. Moch ◽  
O. Zenaiev

Abstract We present predictions for heavy-quark production at the Large Hadron Collider making use of the $$ \overline{\mathrm{MS}} $$ MS ¯ and MSR renormalization schemes for the heavy-quark mass as alternatives to the widely used on-shell renormalization scheme. We compute single and double differential distributions including QCD corrections at next-to-leading order and investigate the renormalization and factorization scale dependence as well as the perturbative convergence in these mass renormalization schemes. The implementation is based on publicly available programs, MCFM and xFitter, extending their capabilities. Our results are applied to extract the top-quark mass using measurements of the total and differential $$ t\overline{t} $$ t t ¯ production cross-sections and to investigate constraints on parton distribution functions, especially on the gluon distribution at low x values, from available LHC data on heavy-flavor hadro-production.


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