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The relation between the on-shell and $\bar{\rm MS}$ mass can be expressed through scalar and vector part of the quark propagator. In principle these two-point functions have to be evaluated on-shell which is a non-trivial task at…

High Energy Physics - Phenomenology · Physics 2008-11-26 K. G. Chetyrkin , M. Steinhauser

We consider the equation of state of QCD at high density and zero temperature in perturbation theory to first order in the coupling constant $\alpha_s$. We compute the thermodynamic potential including the effect of a non-vanishing mass for…

High Energy Physics - Phenomenology · Physics 2009-11-10 Eduardo S. Fraga , Paul Romatschke

We present a complete analysis of the Heavy Quark Effective Theory Lagrangian at order $1/m^2$ in the leading logarithmic approximation, including effects induced by spectator quarks. At this order new correction terms appear in the…

High Energy Physics - Phenomenology · Physics 2009-10-28 B. Blok , J. G. Körner , D. Pirjol , J. C. Rojas

While perturbative QCD is sufficient for understanding the color, mass and energy dependences of parton energy loss and jet quenching at large transverse momentum in heavy-ion collisions, a simultaneous description of heavy flavor nuclear…

High Energy Physics - Phenomenology · Physics 2022-01-03 Wen-Jing Xing , Guang-You Qin , Shanshan Cao

The temporal and spatial components of the heavy-light vector current and the spatial components of the axial current are expressed in terms of lattice-regulated operators suitable for simulations of B and D mesons. The currents are…

High Energy Physics - Lattice · Physics 2009-10-31 Colin J. Morningstar , J. Shigemitsu

I discuss the properties of pions in ``partially quenched'' theories, i.e. those in which the valence and sea quark masses, $m_V$ and $m_S$, are different. I point out that for lattice fermions which retain some chiral symmetry on the…

High Energy Physics - Lattice · Physics 2014-11-17 Stephen R. Sharpe

We study the strong interactions of the L=1 orbitally excited baryons with one heavy quark in the framework of the Heavy Hadron Chiral Perturbation Theory. To leading order in the heavy mass expansion, the interaction Lagrangian describing…

High Energy Physics - Phenomenology · Physics 2014-11-17 Dan Pirjol , Tung-Mow Yan

We use a $\mathcal{O}(\Lambda_\text{QCD}/m_c)$ heavy quark effective theory scheme, where only $\mathcal{O}(\Lambda_\text{QCD}/m_b)$ and perturbative QCD short distance corrections are neglected, to study the matrix elements of the scalar,…

High Energy Physics - Phenomenology · Physics 2023-01-04 Meng-Lin Du , Eliecer Hernández , Juan Nieves

We compute the strange quark mass $m_s$ and the average of the $u$ and $d$ quark masses $\hat m$ using full lattice QCD with three dynamical quarks combined with experimental values for the pion and kaon masses. The simulations have…

In gauge theories, charged particles obey modified dispersion due to medium interactions (forward scattering), leading at high energies $E \geq T$ to an asymptotic mass-squared $m^2_\infty$. We calculate the infrared part of this mass…

High Energy Physics - Lattice · Physics 2021-06-25 Guy D. Moore , Niels Schlusser

We propose an effective field theory to describe hadrons with two heavy quarks without any assumption on the typical distance between the heavy quarks with respect to the typical hadronic scale. The construction is based on Non-Relativistic…

High Energy Physics - Phenomenology · Physics 2024-11-11 Joan Soto , Jaume Tarrús Castellà

We present a lattice determination of the $\Lambda$ parameter in three-flavor QCD and the strong coupling at the Z pole mass. Computing the nonperturbative running of the coupling in the range from $0.2\,$GeV to $70\,$GeV, and using…

High Energy Physics - Lattice · Physics 2017-09-13 M. Bruno , M. Dalla Brida , P. Fritzsch , T. Korzec , A. Ramos , S. Schaefer , H. Simma , S. Sint , R. Sommer

The Lambda_b to Lambda_c semileptonic decay is analyzed in the framework of heavy quark effective theory to the order of 1/m_c and 1/m_b. The QCD sum rule and large N_c predictions to the decay form factors are applied. It argues that the…

High Energy Physics - Phenomenology · Physics 2011-01-27 Jong-Phil Lee , Chun Liu , H. S. Song

Light and heavy-light (b) hadrons are among the most interesting and among the most challenging quantities to calculate in lattice gauge theory. One would like to avoid discretization effects from very heavy quarks and to calculate chiral…

High Energy Physics - Lattice · Physics 2007-05-23 A. Ali Khan

Perturbative QCD has made significant progress over the last few decades. In the first part, we present an introductory overview of perturbative QCD as seen from a modern viewpoint. We explain the relation between purely perturbative…

High Energy Physics - Phenomenology · Physics 2014-07-22 Y. Sumino

We compute the low energy mass spectrum of lattice QCD in the large $N_C$ limit. Expanding around a gauge-invariant ground state, which spontaneously breaks the discrete chiral symmetry, we derive an improved strong-coupling expansion and…

High Energy Physics - Lattice · Physics 2009-11-10 G. Grignani , D. Marmottini , P. Sodano

We compute the fermionic contribution to the strong coupling $\alpha_{qq}$ extracted from the static force in Lattice QCD up to order $g^4$ in perturbation theory. This allows us to subtract the leading fermionic lattice artifacts from…

High Energy Physics - Lattice · Physics 2018-04-18 Salvatore Cali , Francesco Knechtli , Tomasz Korzec , Haralambos Panagopoulos

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

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

The heavy quark self-energy in nonrelativistic lattice QCD is calculated to $O(\alpha_s)$ in perturbation theory. An action which includes all spin-independent relativistic corrections to order $v^2$, where $v$ is the typical heavy quark…

High Energy Physics - Lattice · Physics 2010-11-01 Colin J. Morningstar