Search results for "Number"

showing 10 items of 3939 documents

Multiple polylogarithms with algebraic arguments and the two-loop EW-QCD Drell-Yan master integrals

2020

We consider Feynman integrals with algebraic leading singularities and total differentials in $\epsilon\,\mathrm{d}\ln$ form. We show for the first time that it is possible to evaluate integrals with singularities involving unrationalizable roots in terms of conventional multiple polylogarithms, by either parametric integration or matching the symbol. As our main application, we evaluate the two-loop master integrals relevant to the $\alpha \alpha_s$ corrections to Drell-Yan lepton pair production at hadron colliders. We optimize our functional basis to allow for fast and stable numerical evaluations in the physical region of phase space.

Quantum chromodynamicsPhysicsHigh Energy Physics - TheoryBasis (linear algebra)010308 nuclear & particles physicsHadronHigh Energy Physics::PhenomenologyFOS: Physical sciences01 natural sciencesLoop (topology)High Energy Physics - PhenomenologyPair productionHigh Energy Physics - Phenomenology (hep-ph)High Energy Physics - Theory (hep-th)Phase space0103 physical sciencesGravitational singularityHigh Energy Physics::ExperimentAlgebraic number010306 general physicsMathematical physics
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Topological susceptibility and η′ meson mass from Nf=2 lattice QCD at the physical point

2019

In this paper we explore the computation of topological susceptibility and ${\ensuremath{\eta}}^{\ensuremath{'}}$ meson mass in ${N}_{f}=2$ flavor QCD using lattice techniques with a physical value of the pion mass as well as larger pion mass values. We observe that the physical point can be reached without a significant increase in the statistical noise. The mass of the ${\ensuremath{\eta}}^{\ensuremath{'}}$ meson can be obtained from both fermionic two point functions and topological charge density correlation functions, giving compatible results. With the pion mass dependence of the ${\ensuremath{\eta}}^{\ensuremath{'}}$ mass being flat we arrive at ${M}_{{\ensuremath{\eta}}^{\ensuremath…

Quantum chromodynamicsPhysicsMeson010308 nuclear & particles physicsHigh Energy Physics::LatticeLattice field theoryCharge densityLattice QCDTopology01 natural sciencesPionLattice (order)0103 physical sciencesHigh Energy Physics::ExperimentNuclear Experiment010306 general physicsTopological quantum numberPhysical Review D
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Production of muons from heavy-flavour hadron decays at high transverse momentum in Pb–Pb collisions atsNN=5.02and 2.76 TeV

2021

Abstract Measurements of the production of muons from heavy-flavour hadron decays in Pb–Pb collisions at s NN = 5.02 and 2.76 TeV using the ALICE detector at the LHC are reported. The nuclear modification factor R AA at s NN = 5.02 TeV is measured at forward rapidity ( 2.5 y 4 ) as a function of transverse momentum p T in central, semi-central, and peripheral collisions over a wide p T interval, 3 p T 20 GeV/c, in which muons from beauty-hadron decays are expected to take over from charm as the dominant source at high p T ( p T > 7 GeV/c). The R AA shows an increase of the suppression of the yields of muons from heavy-flavour hadron decays with increasing centrality. A suppression by a fact…

Quantum chromodynamicsPhysicsNuclear and High Energy PhysicsMuonLarge Hadron Collider010308 nuclear & particles physicsHigh Energy Physics::PhenomenologyHadronParton01 natural sciencesNuclear physics0103 physical sciencesHigh Energy Physics::ExperimentRapidityCharm (quantum number)Impact parameterNuclear Experiment010306 general physicsPhysics Letters B
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Transverse spectra of hadrons at RHIC

2002

We present results on spectra of pions, kaons and (anti)protons from a study of heavy ion collisions using the perturbative QCD + saturation model to calculate the production of initial (transverse) energy and baryon number followed by a hydrodynamic description of the expansion of produced matter. In particular, we study how the hadron spectra and multiplicities depend on the decoupling temperature $\Tdec$ when the low temperature phase contains all hadrons and and hadron resonances with mass below 2 GeV. We show that the spectra and multiplicities of pions, kaons and (anti)protons measured at RHIC in central Au+Au collisions with $\sqrt s=130$ GeV can be obtained with a single decoupling …

Quantum chromodynamicsPhysicsNuclear and High Energy PhysicsNuclear TheoryMesonHigh Energy Physics::PhenomenologyNuclear TheoryHadronFOS: Physical sciencesPerturbative QCDNuclear Theory (nucl-th)Nuclear physicsBaryonPionHigh Energy Physics::ExperimentBaryon numberNuclear ExperimentNucleonNuclear Physics A
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Vanishing chiral couplings in the large-Nc resonance theory

2007

5 pages, 2 figures.-- PACS nrs.: 12.39.Fe; 11.15.Pg; 12.38.-t.-- ISI Article Identifier: 000247625300022.-- ArXiv pre-print available at: http://arxiv.org/abs/hep-ph/0611375

Quantum chromodynamicsPhysicsNuclear and High Energy PhysicsParticle physicsChiral perturbation theory[PACS] Chiral Lagrangians in quark modelsHigh Energy Physics::LatticeHigh Energy Physics::PhenomenologyForm factor (quantum field theory)FOS: Physical sciencesPerturbation theoryResonance (particle physics)Low-energy constantsHigh Energy Physics - Phenomenologysymbols.namesake[PACS] Expansions for large numbers of components (e.g. 1/Nc expansions) in gauge theoriesHigh Energy Physics - Phenomenology (hep-ph)Quantum Chromodynamics (QCD)Resonance theorysymbolsPerturbation theoryChirality (chemistry)Lagrangian
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Two-loop Anomalous Dimensions of Heavy Baryon Currents in Heavy Quark Effective Theory

1996

We present results on the two-loop anomalous dimensions of the heavy baryon HQET currents $J=(q^TC\Gamma\tau q)\Gamma'Q$ with arbitrary Dirac matrices $\Gamma$ and $\Gamma'$. From our general result we obtain the two-loop anomalous dimensions for currents with quantum numbers of the ground state heavy baryons $\Lambda_Q$, $\Sigma_Q$ and $\Sigma_Q^*$. As a by-product of our calculation and as an additional check we rederive the known two-loop anomalous dimensions of mesonic scalar, pseudoscalar, vector, axial vector and tensor currents $(J=\bar q\Gamma q)$ in massless QCD as well as in HQET.

Quantum chromodynamicsPhysicsNuclear and High Energy PhysicsParticle physicsComputer Science::Information RetrievalHigh Energy Physics::LatticeQuark modelHigh Energy Physics::PhenomenologyFOS: Physical sciencesVertex functionGamma matricesQuantum numberBaryonPseudoscalarHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)High Energy Physics::ExperimentNuclear ExperimentPseudovector
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Charm and bottom quark masses from QCD moment sum rules

2002

In this work the charm and bottom quark masses are determined from QCD moment sum rules for the charmonium and upsilon systems. In our analysis we include both the results from non-relativistic QCD and perturbation theory at next-next-to-leading order. For the pole masses we obtain $M_c=1.75\pm 0.15$ GeV and $M_b=4.98\pm 0.125$ GeV. Using the potential-subtracted mass in intermediate steps of the calculation the MS-masses are determined to $m_c(m_c) = 1.19 \pm 0.11$ GeV and $m_b(m_b) = 4.24 \pm 0.10$ GeV.

Quantum chromodynamicsPhysicsNuclear and High Energy PhysicsParticle physicsHigh Energy Physics::LatticeHigh Energy Physics::PhenomenologyOrder (ring theory)FOS: Physical sciencesBottom quarkAtomic and Molecular Physics and OpticsHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)Moment (physics)B mesonHigh Energy Physics::ExperimentCharm (quantum number)Perturbation theory (quantum mechanics)Astrophysics::Earth and Planetary AstrophysicsNuclear Experiment
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Charmed pair correlations in π−Cu interactions at 230 GeV/c

1993

Abstract In the CERN NA32 experiment a high-resolution silicon vertex detector and a purely topological approach were used to collect 557 events consistent with associated charm production, both decay vertices being observed. The pseudorapidity gap distribution appears to be nearly independent of the nature of the charmed hadrons. This distribution is reasonably consistent with the next-to-leading order QCD calculations. However the azimuthal-angle distribution is significantly broader than the above predictions.

Quantum chromodynamicsPhysicsNuclear and High Energy PhysicsParticle physicsLarge Hadron ColliderMesonDistribution (number theory)High Energy Physics::PhenomenologyHadronElementary particleNuclear physicsPseudorapidityHigh Energy Physics::ExperimentCharm (quantum number)Nuclear ExperimentPhysics Letters B
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Charm quark mass determined from a pair of sum rules

2016

In this paper, we present preliminary results of the determination of the charm quark mass $\hat{m}_c$ from QCD sum rules of moments of the vector current correlator calculated in perturbative QCD at ${\cal O} (\hat \alpha_s^3)$. Self-consistency between two different sum rules allow to determine the continuum contribution to the moments without requiring experimental input, except for the charm resonances below the continuum threshold. The existing experimental data from the continuum region is used, then, to confront the theoretical determination and reassess the theoretic uncertainty.

Quantum chromodynamicsPhysicsNuclear and High Energy PhysicsParticle physicsQCD sum rulesCurrent (mathematics)010308 nuclear & particles physicsContinuum (topology)High Energy Physics::PhenomenologyGeneral Physics and AstronomyPerturbative QCDFOS: Physical sciencesAstronomy and Astrophysics01 natural sciencesCharm quarkHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)0103 physical sciencesHigh Energy Physics::ExperimentCharm (quantum number)Current vector010306 general physics
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Measurement of the charged particle multiplicity distribution in hadronic Z decays

1991

The charged particle multiplicity distribution of hadronic Z decays was measured on the peak of the Z resonance using the ALEPH detector at LEP. Using a model independent unfolding procedure the distribution was found to have a mean = 20.85 +/- 0.24 and a dispersion D = 6.34 +/- 0.12. Comparison with lower energy data supports the KNO scaling hypothesis in the energy range square-root s = 29-91.25 GeV. At square-root s = 91.25 GeV the shape of the multiplicity distribution is well described by a log-normal distribution, as predicted from a cascading model for multi-particle production. The same model also successfully describes the energy dependence of the mean and width of the multiplicity…

Quantum chromodynamicsPhysicsNuclear and High Energy PhysicsRange (particle radiation)Particle physicsE+E ANNIHILATIONPP COLLISIONSDistribution (number theory)Electron–positron annihilationQUARKHadronPETRA ENERGIESResonance (particle physics)Charged particleNuclear physicsMONTE-CARLOHigh Energy Physics::ExperimentFRAGMENTATIONScalingParticle Physics - Experiment
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