51,181 research outputs found
Transverse Momentum Resummation for Dijet Correlation in Hadronic Collisions
We study the transverse momentum resummation for dijet correlation in hadron
collisions based on the Collins-Soper-Sterman formalism. The complete one-loop
calculations are carried out in the collinear factorization framework for the
differential cross sections at low imbalance transverse momentum between the
two jets. Important cross checks are performed to demonstrate that the soft
divergences cancelled out between different diagrams, and in particular, those
associated with final state jets. The leading and sub-leading logarithms are
identified. All order resummation is derived following the transverse momentum
dependent factorization at this order. Its phenomenological applications are
also presented.Comment: 51 pages, 10 figure
Long Range Correlation in Higgs Boson Plus Two Jets Production at the LHC
We study Higgs boson plus two high energy jets production at the LHC in the
kinematics where the two jets are well separated in rapidity. The partonic
processes are dominated by the t-channel weak boson fusion (WBF) and gluon
fusion (GF) contributions. We derive the associated QCD resummation formalism
for the correlation analysis where the total transverse momentum q_\perp of the
Higgs boson and two jets is small. Because of different color structures, the
resummation results lead to distinguished behaviors: the WBF contribution peaks
at relative low q_\perp while all GF channel contributions are strongly
de-correlated and spread to a much wider q_\perp range. By applying a kinematic
cut on q_\perp, one can effectively increase the WBF signal to the GF
background by a significant factor. This greatly strengthens the ability to
investigate the WBF channel in Higgs boson production and study the couplings
of Higgs to electroweak bosons.Comment: 9 pages, 2 figure
Universal Non-perturbative Functions for SIDIS and Drell-Yan Processes
We update the well-known BLNY fit to the low transverse momentum Drell-Yan
lepton pair productions in hadronic collisions, by considering the constraints
from the semi-inclusive hadron production in deep inelastic scattering (SIDIS)
from HERMES and COMPASS experiments. We follow the Collins-Soper-Sterman (CSS)
formalism with the b_*-prescription. A universal non-perturbative form factor
associated with the transverse momentum dependent quark distributions is found
in the analysis with a new functional form different from that of BLNY. This
releases the tension between the BLNY fit to the Drell-Yan data with the SIDIS
data from HERMES/COMPASS in the CSS resummation formalism.Comment: 19 pages, 11 figures; updated the fit with running effects of
\alpha_{s}, \alpha_{em}, N_f; conclusion remains; more discussions on the
result
Resummation of High Order Corrections in Boson Plus Jet Production at the LHC
We study the multiple soft gluon radiation effects in boson plus jet
production at the LHC. By applying the transverse momentum dependent
factorization formalism, the large logarithms introduced by the small total
transverse momentum of the boson plus jet final state system, are resummed
to all orders in the expansion of the strong interaction coupling at the
accuracy of Next-to-Leading Logarithm(NLL). We also compare the prediction of
our resummation calculation to the CMS data by employing a reweighting
procedure to estimate the effect from imposing kinematic cuts on the leptons
from boson decay, and find good agreement for both the imbalance transverse
momentum and the azimuthal angle correlation of the final state boson and
jet system, for production at the LHC.Comment: 7 pages, published versio
Resummation of High Order Corrections in Higgs Boson Plus Jet Production at the LHC
We study the effect of multiple parton radiation to Higgs boson plus jet
production at the LHC, by applying the transverse momentum dependent (TMD)
factorization formalism to resum large logarithmic contributions to all orders
in the expansion of the strong interaction coupling. We show that the
appropriate resummation scale should be the jet transverse momentum, rather
than the partonic center of mass energy which has been normally used in the TMD
resummation formalism. Furthermore, the transverse momentum distribution of the
Higgs boson, particularly near the lower cut-off applied on the jet transverse
momentum, can only be reliably predicted by the resummation calculation which
is free of the so-called Sudakov-shoulder singularity problem, present in
fixed-order calculations.Comment: 7 pages, 4 figure
Controlling single-photon transport in waveguides with finite cross-section
We study the transverse-size effect of a quasi-one-dimensional rectangular
waveguide on the single-photon scattering on a two-level system. We calculate
the transmission and reflection coefficients for single incident photons using
the scattering formalism based on the Lippmann-Schwinger equation. When the
transverse size of the waveguide is larger than a critical size, we find that
the transverse mode will be involved in the single-photon scattering. Including
the coupling to a higher traverse mode, we find that the photon in the lowest
channel will be lost into the other channel, corresponding to the other
transverse modes, when the input energy is larger than the maximum bound-state
energy. Three kinds of resonance phenomena are predicted: single-photon
resonance, photonic Feshbach resonance, and cutoff (minimum) frequency
resonance. At these resonances, the input photon is completely reflected.Comment: 9 pages, 6 figure
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