Calculations of binding energies and masses of heavy quarkonia using renormalon cancellation

We use various methods of Borel integration to calculate the binding ground energies and masses of b-bbar and t-tbar quarkonia. The methods take into account the leading infrared renormalon structure of the hard+soft part of the binding energies E(s), and of the corresponding quark pole masses m_q, where the contributions of these singularities in M(s) = 2 m_q + E(s) cancel. Beforehand, we carry out the separation of the binding energy into its hard+soft and ultrasoft parts. The resummation formalisms are applied to expansions of m_q and E(s) in terms of quantities which do not involve renormalon ambiguity, such as MSbar quark mass, and alpha_s. The renormalization scales are different in calculations of m_q, E(s) and E(us). The MSbar mass of b quark is extracted, and the binding energies of t-tbar and the peak (resonance) energies for (t+tbar) production are obtained.Comment: 23 pages, 8 double figures, revtex4; the version to appear in Phys.Rev.D; extended discussion between Eqs.(25) and (26); the paragraph between Eqs.(32) and (33) is new and explains the numerical dependence of the residue parameter on the factorization scale; several new references were added; acknowledgments were modified; the numerical results are unchange

Consistent patterns of common species across tropical tree communities

Trees structure the Earth’s most biodiverse ecosystem, tropical forests. The vast number of tree species presents a formidable challenge to understanding these forests, including their response to environmental change, as very little is known about most tropical tree species. A focus on the common species may circumvent this challenge. Here we investigate abundance patterns of common tree species using inventory data on 1,003,805 trees with trunk diameters of at least 10 cm across 1,568 locations1,2,3,4,5,6 in closed-canopy, structurally intact old-growth tropical forests in Africa, Amazonia and Southeast Asia. We estimate that 2.2%, 2.2% and 2.3% of species comprise 50% of the tropical trees in these regions, respectively. Extrapolating across all closed-canopy tropical forests, we estimate that just 1,053 species comprise half of Earth’s 800 billion tropical trees with trunk diameters of at least 10 cm. Despite differing biogeographic, climatic and anthropogenic histories7, we find notably consistent patterns of common species and species abundance distributions across the continents. This suggests that fundamental mechanisms of tree community assembly may apply to all tropical forests. Resampling analyses show that the most common species are likely to belong to a manageable list of known species, enabling targeted efforts to understand their ecology. Although they do not detract from the importance of rare species, our results open new opportunities to understand the world’s most diverse forests, including modelling their response to environmental change, by focusing on the common species that constitute the majority of their trees

Convergence of Igf2 expression and adhesion signalling via RhoA and p38 MAPK enhances myogenic differentiation

Cell-cell contact is essential for appropriate co-ordination of development and it initiates significant signalling events. During myogenesis, committed myoblasts migrate to sites of muscle formation, align and form adhesive contacts that instigate cell-cycle exit and terminal differentiation into multinucleated myotubes; thus myogenesis is an excellent paradigm for the investigation of signals derived from cell-cell contact. PI3-K and p38 MAPK are both essential for successful myogenesis. Pro-myogenic growth factors such as IGF-II activate PI3-K via receptor tyrosine kinases but the extracellular cues and upstream intermediates required for activation of the p38 MAPK pathway in myoblast differentiation are not known. Initial observations suggested a correlation between p38 MAPK phosphorylation and cell density, which was also related to N-cadherin levels and Igf2 expression. Subsequent studies using N-cadherin ligand, dominant-negative N-cadherin, constitutively active and dominant-negative forms of RhoA, and MKK6 and p38 constructs, reveal a novel pathway in differentiating myoblasts that links cell-cell adhesion via N-cadherin to Igf2 expression (assessed using northern and promoter-reporter analyses) via RhoA and p38α and/or β but not γ. We thus define a regulatory mechanism for p38 activation that relates cell-cell-derived adhesion signalling to the synthesis of the major fetal growth factor, IGF-II