There is, I think, something ethereal about i —the square root of minus one. I remember first hearing about it at school. It seemed an odd beast at that time—an intruder hovering on the edge of reality.

Usually familiarity dulls this sense of the bizarre, but in the case of i it was the reverse: over the years the sense of its surreal nature intensified. It seemed that it was impossible to write mathematics that described the real world in …

I and i

다중혈관 관상동맥 환자에서 y-문합을 이용하여 양쪽 내흉동맥만을 사용한 우회술의 조기 성적

http://risa.stanford.edu/teaching/362/particledarkmatter.pdf

Particle dark matter: Evidence, candidates and constraints

We present updated leading-order, next-to-leading order and next-to-next-to-leading order parton distribution functions (“MSTW 2008”) determined from global analysis of hard-scattering data within the standard framework of leading-twist fixed-order collinear factorisation in the $\overline{\mathrm{MS}}$
 
scheme. These parton distributions supersede the previously available “MRST” sets and should be used for the first LHC data taking and for the associated theoretical calculations. New data sets fitted include CCFR/NuTeV dimuon cross sections, which constrain the strange-quark and -antiquark distributions, and Tevatron Run II data on inclusive jet production, the lepton charge asymmetry from W decays and the Z rapidity distribution. Uncertainties are propagated from the experimental errors on the fitted data points using a new dynamic procedure for each eigenvector of the covariance matrix. We discuss the major changes compared to previous MRST fits, briefly compare to parton distributions obtained by other fitting groups, and give predictions for the W and Z total cross sections at the Tevatron and LHC.

/pdf/parton-distributions-for-the-lhc-4lvvi85r8i.pdf

Parton distributions for the LHC

We present a preliminary set of updated NLO parton distributions. For the first time we have a quantitative extraction of the strange quark and antiquark distributions and their uncertainties determined from CCFR and NuTeV dimuon cross sections. Additional jet data from HERA and the Tevatron improve our gluon extraction. Lepton asymmetry data and neutrino structure functions improve the flavour separation, particularly constraining the down quark valence distribution.

pdf/parton-distributions-for-the-lhc-3jcnh64voi.pdf

The ultrahigh energy neutrino cross section is well understood in the standard model for neutrino energies up to 1012 GeV, Tests of neutrino oscillations (νμ ↔ ντ) from extragalactic sources of neutrinos are possible with large underground detectors. Measurements of horizontal air shower event rates at neutrino energies above 1010 GeV will be able to constrain nonstandard model contributions to the neutrino-nucleon cross section, e.g., from mini-black hole production.

Ultrahigh-energy neutrinos

Electroweak scattering of neutrinos with hadronic targets reveal the underlying structure of protons and neutrons. Electroweak structure functions for nucleon targets are reviewed in the context of muon and tau neutrino and antineutrino scattering. Quantum chromodynamic, target mass and quark mass corrections and the regimes where they are relevant are discussed. In future experiments in the Large Hadron Collider forward region at CERN, there are prospects for future measurements for neutrino and antineutrino energies in the 100’s of GeV to TeV energy regime with a large flux of $$\nu _\tau +\overline{\nu }_\tau $$
 as well as the electron and muon flavors. At lower energies, DUNE will probe structure functions at the boundary of perturbative and nonperturbative regimes.

Evolution of the electroweak structure functions of nucleons

We reevaluate electron-positron pair production from electromagnetic interactions of muons in transit through materials. Our approach, through the use of structure functions for inelastic and elastic scattering and including hadronic recoil, make the formalism useful for tau pair production at high energies. Our results for electron-positron pairs agree well with prior evaluations. Tau pair production, however, has significant contributions from inelastic scattering in addition to the usual coherent scattering with the nucleus and scattering with atomic electrons.

Cross sections and energy loss for lepton pair production in muon transport

We present results for neutrino-nucleon cross sections for energies up to 10$^21$eV, of relevance to the detection of ultrahigh energy galactic and extragalactic neutrinos. At the highest energies, our results are about 2.4 times larger than previous estimates. Using these new cross sections, we predict neutrino telescope event rates for the upward moving muons initiated by the neutrino interactions in the Earth and for contained-vertex events in the PeV range due to neutrino-electron interactions. We show that future neutrino detectors, such as AMANDA, BAIKAL, DUMAND and NESTOR have a very good chance of detecting neutrinos which originate in the Active Galactic Nuclei.

Ultrahigh-Energy Neutrino Interactions and Neutrino Telescope Event Rates

We present results for neutrino-nucleon cross sections for energies up to 1021eV, of relevance to the detection of ultrahigh energy galactic and extragalactic neutrinos. At the highest energies, our results are about 2.4 times larger than previous estimates. Using these new cross sections, we predict neutrino telescope event rates for the upward moving muons initiated by the neutrino interactions in the Earth and for the contained-vertex events in the PeV range due to neutrino-electron interactions. We show that future neutrino detectors, such as AMANDA, BAIKAL, DUMAND and NESTOR have a very good chance of detecting neutrinos which originate in the Active Galactic Nuclei.

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Ultrahigh-energy neutrinos

Evolution of the electroweak structure functions of nucleons

Cross sections and energy loss for lepton pair production in muon transport

Ultrahigh-Energy Neutrino Interactions and Neutrino Telescope Event Rates

Ultrahigh-Energy Neutrino Interactions and Neutrino Telescope Event Rates