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We present a factorisation formula for the dependence of light hadron masses and low energy hadronic scales on the mass $M$ of a heavy quark: apart from an overall factor $Q$, ratios such as $r_0(M)/r_0(0)$ are computable in perturbation…

High Energy Physics - Lattice · Physics 2015-03-18 Mattia Bruno , Jacob Finkenrath , Francesco Knechtli , Bjoern Leder , Rainer Sommer

Effects of heavy sea quarks on the low energy physics are described by an effective theory where the expansion parameter is the inverse quark mass, 1/$M$. At leading order in 1/$M$ (and neglecting light quark masses) the dependence of any…

Decoupling of heavy quarks at low energies can be described by means of an effective theory as shown by S. Weinberg in Ref. [1]. We study the decoupling of the charm quark by lattice simulations. We simulate a model, QCD with two degenerate…

High Energy Physics - Lattice · Physics 2017-11-22 Francesco Knechtli , Tomasz Korzec , Björn Leder , Graham Moir

We briefly review the strategy to perform non-perturbative heavy quark effective theory computations and we specialize to the case of the b quark mass which has recently been computed including the 1/m term.

High Energy Physics - Lattice · Physics 2008-11-26 Mauro Papinutto

We study the effective theory of decoupling of a charm quark at low energies. We do this by simulating a model, QCD with two mass-degenerate charm quarks. At leading order the effective theory is a pure gauge theory. By computing ratios of…

High Energy Physics - Lattice · Physics 2018-04-18 Francesco Knechtli , Tomasz Korzec , Björn Leder , Graham Moir

We simulate a theory with two dynamical O($a$) improved Wilson quarks whose mass $M$ ranges from a factor eight up to a factor two below the charm quark mass and at three values of the lattice spacing ranging from 0.066 to 0.034 fm. This…

High Energy Physics - Lattice · Physics 2014-11-06 Francesco Knechtli , Andreas Athenodorou , Mattia Bruno , Jacob Finkenrath , Björn Leder , Marina Marinkovic , Rainer Sommer

In this review I cover recent developments concerning the construction of non-relativistic effective theories for perturbative heavy quark-antiquark systems and heavy quark mass definitions. I then discuss next-to-next-to-leading order…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Beneke

Heavy baryon chiral perturbation theory for pentaquarks is applied beyond leading order. The mass splitting in the pentaquark anti-decuplet is calculated up to NNLO. An expansion in the coupling of pentaquarks to non-exotic baryons…

High Energy Physics - Phenomenology · Physics 2009-11-10 Vivek Mohta

I discuss a scheme to match perturbative and non-perturbative physics with power accuracy in the heavy-quark effective theory. I elaborate on two important aspects of the scheme: 1) a multi-loop subtraction of soft contributions from the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Xiangdong Ji

A review is given of latest results on tests of the flavour independence of strong interactions. Heavy quark mass effects are evident in the data and are now taken into account at next-to-leading order in QCD perturbation theory. The…

High Energy Physics - Experiment · Physics 2007-05-23 P. N. Burrows

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…

High Energy Physics - Phenomenology · Physics 2010-11-01 I. I. Bigi , M. A. Shifman , N. G. Uraltsev , A. I. Vainshtein

The potential of a static quark-antiquark pair is studied in the range 0.05 fm $<$ r $<$ 0.8 fm, employing a sequence of lattices up to 64^4. The continuum quantities are evaluated by extrapolation of the data at finite lattice spacing. The…

High Energy Physics - Lattice · Physics 2009-11-07 Silvia Necco

Lattice gauge theory simulations are our principal probe of the masses of the light quarks. Results from such computations are the primary evidence against the $m_u=0$ solution to the strong CP problem. The large-$N$ approximation offers an…

High Energy Physics - Phenomenology · Physics 2022-02-02 Daniel Davies , Michael Dine , Benjamin V. Lehmann

The QCD-coupling is a necessary input in the computation of many observables, and the parametric error on input parameters can be a dominant source of uncertainty. The coupling can be extracted by comparing high order perturbative…

High Energy Physics - Lattice · Physics 2022-03-16 Leonardo Chimirri , Rainer Sommer

We propose a new strategy for the determination of the QCD coupling. It relies on a coupling computed in QCD with $N_{\rm f} \geq 3$ degenerate heavy quarks at a low energy scale $\mu_{\rm dec}$, together with a non-perturbative…

High Energy Physics - Lattice · Physics 2020-06-24 Mattia Dalla Brida , Roman Höllwieser , Francesco Knechtli , Tomasz Korzec , Alberto Ramos , Rainer Sommer

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…

High Energy Physics - Phenomenology · Physics 2022-05-02 A. Bouttefeux , M. Laine

We describe a strategy for a non-perturbative computation of the b-quark mass to leading order in 1/m in the Heavy Quark Effective Theory (HQET). The approach avoids the perturbative subtraction of power law divergencies, and the continuum…

High Energy Physics - Lattice · Physics 2011-01-27 Jochen Heitger , Rainer Sommer

We present a QCD based interpretation of heavy quark fragmentation which utilizes the heavy quark mass expansion. By distinguishing between perturbative and non-perturbative QCD effects, we show how to reliably extract mass independent…

High Energy Physics - Phenomenology · Physics 2009-09-15 R. L. Jaffe , L. Randall

We consider correlation functions containing the axial current of one light and one heavy quark in the static approximation as well as in full QCD, using the lattice regularization. Up to one-loop order of perturbation theory, we study the…

High Energy Physics - Lattice · Physics 2016-09-01 ALPHA Collaboration , Martin Kurth , Rainer Sommer

Heavy baryon chiral perturbation theory is extended to include the effects of quenching. In this framework the leading nonanalytic dependence of the heavy baryon masses on the light quark masses is studied. The size of quenching effects is…

High Energy Physics - Phenomenology · Physics 2016-08-25 George Chiladze
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