26,230 research outputs found
Mass Dependence of Higgs Production at Large Transverse Momentum
The transverse momentum distribution of the Higgs at large is
complicated by its dependence on three important energy scales: , the top
quark mass , and the Higgs mass . A strategy for simplifying the
calculation of the cross section at large is to calculate only the
leading terms in its expansion in and/or . The
expansion of the cross section in inverse powers of is complicated by
logarithms of and by mass singularities. In this paper, we consider the
top-quark loop contribution to the subprocess at leading
order in . We show that the leading power of can be
expressed in the form of a factorization formula that separates the large scale
from the scale of the masses. All the dependence on and can
be factorized into a distribution amplitude for in the Higgs, a
distribution amplitude for in a real gluon, and an endpoint
contribution. The factorization formula can be used to simplify calculations of
the distribution at large to next-to-leading order in .Comment: 49 pages, 8 figure
Quantum Brownian motion model for the stock market
It is believed by the majority today that the efficient market hypothesis is
imperfect because of market irrationality. Using the physical concepts and
mathematical structures of quantum mechanics, we construct an econophysics
framework for the stock market, based on which we analogously map massive
numbers of single stocks into a reservoir consisting of many quantum harmonic
oscillators and their stock index into a typical quantum open system--a quantum
Brownian particle. In particular, the irrationality of stock transactions is
quantitatively considered as the Planck constant within Heisenberg's
uncertainty relationship of quantum mechanics in an analogous manner. We
analyze real stock data of Shanghai Stock Exchange of China and investigate
fat-tail phenomena and non-Markovian behaviors of the stock index with the
assistance of the quantum Brownian motion model, thereby interpreting and
studying the limitations of the classical Brownian motion model for the
efficient market hypothesis from a new perspective of quantum open system
dynamics
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