9 research outputs found
Next-to-leading Corrections to the Higgs Boson Transverse Momentum Spectrum in Gluon Fusion
We present a fully analytic calculation of the Higgs boson transverse
momentum and rapidity distributions, for nonzero Higgs , at
next-to-leading order in the infinite-top-mass approximation. We separate the
cross section into a part that contains the dominant soft, virtual, collinear,
and small--enhanced contributions, and the remainder, which is
organized by the contributions due to different parton helicities. We use this
cross section to investigate analytically the small- limit and compare
with the expectation from the resummation of large logarithms of the type
. We also compute numerically the cross section at moderate
where a fixed-order calculation is reliable. We find a -factor
that varies from , and a reduction in the scale dependence, as
compared to leading order. Our analysis suggests that the contribution of
current parton distributions to the total uncertainty on this cross section at
the LHC is probably less than that due to uncalculated higher orders.Comment: 40 pages, 10 figures, JHEP style (minor changes, added reference
Dielectric Screening in a Spherical Cavity
In this work we examine the electrostatic screening potential due to a point
charge located off-centre in a spherical dielectric cavity. This potential is
expanded for the case in which the dielectric constant is large,
several methods of finding the terms in the expansion are investigated, and
closed-form expressions are found through third order in along with
error bounds. Finally, possible uses of these expressions in molecular dynamics
simulations of isolated charged molecules is discussed.Comment: 15 Pages, 5 Figures, To be submitted to J. Phys. A. Uses iopart.cl
Next-to-leading Corrections to the Higgs Boson Transverse Momentum Spectrum in Gluon Fusion
We present a fully analytic calculation of the Higgs boson transverse momentum and rapidity distributions, for nonzero Higgs p ? , at next-to-leading order in the in nite-top-mass approximation. We separate the cross section into a part that contains the dominant soft, virtual, collinear, and small-p ? -enhanced contributions, and the remainder, which is organized by the contributions due to dierent parton helicities. We use this cross section to investigate analytically the small-p ? limit and compare with the expectation from the resummation of large logarithms of the type ln mH =p ? . We also compute numerically the cross section at moderate p ? where a xed-order calculation is reliable. We nd a K-factor that varies from 1:6 1:8, and a reduction in the scale dependence, as compared to leading order. Our analysis suggests that the contribution of current parton distributions to the total uncertainty on this cross section at the LHC is probably less than that due to uncalculated higher orders