Results 21 to 30 of about 92,871 (258)

A p-adic lower bound for a linear form in logarithms

International Journal of Number Theory, 2022
Linear forms in logarithms have an important role in the theory of Diophantine equations. In this paper, we prove explicit [Formula: see text]-adic lower bounds for linear forms in [Formula: see text]-adic logarithms of rational numbers using Padé approximations of the second kind.
Seppälä Louna, Palojärvi Neea
openaire   +4 more sources

Threshold resummation for nonleptonic B meson decays [PDF]

, 2002
We investigate the double logarithmic corrections $\alpha_s\ln^2 x$, x being a parton momentum fraction, in two-body nonleptonic B meson decays in collinear factorization theorem of perturbative QCD (PQCD).
Ahkoury, Bauer, Bauer, Bauer, Beneke, Beneke, Beneke, Beneke, Bjorken, Botts, Brodsky, Brodsky, Burdman, Catani, Catani, Chen, Chen, Chernyak, Chernyak, Descotes-Genon, Efremov, Grozin, Hsiang-nan Li, Kawamura, Kawamura, Kazumasa Ukai, Keum, Keum, Keum, Korchemsky, Kurimoto, Kurimoto, Lai, Lepage, Li, Li, Li, Li, Li, Li, Li, Li, Lunghi, Lü, Nagashima, Nagashima, Sterman, Sterman, Szczepaniak   +48 more
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An Electrochemical Sensor Based on Allosteric Molecular Beacons for DNA Detection of Escherichia Coli. O157:H7

International Journal of Electrochemical Science, 2013
In this work, an E-sensor basing on allosteric molecular beacons (aMBs) was designed for detection of Escherichia coli.(E. coli.)O157:H7 DNA. Without the target DNA, the aMB formed a stable hairpin structure which blocked the binding capability of the ...
Dongneng Jiang, Fei Liu, Chang Liu, Linlin Liu, Xiaoyun Pu   +4 more
doaj   +1 more source

Linear forms in two logarithms and interpolation determinants [PDF]

Acta Arithmetica, 1994
The author provides a precise lower bound for the absolute value of a linear combination of two logarithms of real algebraic numbers with integer coefficients. This lower bound is explicit and improves in the real case an earlier result of \textit{M. Mignotte} and \textit{M. Waldschmidt} [Ann. Fac. Sci. Toulouse Math.
openaire   +2 more sources

Linear forms in logarithms and exponential Diophantine equations [PDF]

Hardy-Ramanujan Journal, 2020
This paper aims to show two things. Firstly the importance of Alan Baker's work on linear forms in logarithms for the development of the theory of exponential Diophantine equations. Secondly how this theory is the culmination of a series of greater and smaller discoveries.
openaire   +3 more sources

The δN formula is the dynamical renormalization group [PDF]

, 2013
We derive the 'separate universe' method for the inflationary bispectrum, beginning directly from a field-theory calculation. We work to tree-level in quantum effects but to all orders in the slow-roll expansion, with masses accommodated perturbatively ...
A. Avgoustidis, A. Kamenev, A.A. Starobinsky, C. Burgess, C. Burrage, C. Burrage, D. Baumann, D. Polarski, D. Seery, D. Seery, D. Seery, D. Seery, D. Seery, D. Seery, D. Seery, D. Seery, D. Seery, D.H. Lyth, D.I. Podolsky, D.J. Mulryne, D.J. Mulryne, David Seery, E. Nalson, F. Vernizzi, G. Dissertori, G.L. Pimentel, H. Collins, J. Cardy, J. Elliston, J. Elliston, J.-O. Gong, J.C. Collins, J.C. Collins, J.C. Collins, J.M. Maldacena, K. Koyama, Mafalda Dias, N. Bartolo, P.M. Saffin, R.H. Ribeiro, Raquel H Ribeiro, S. Yokoyama, S. Yokoyama, T. Kinoshita, V.F. Mukhanov, X. Chen, Z. Lalak   +46 more
core   +2 more sources

New Insights into the Perturbative Structure of Electroweak Sudakov Logarithms

, 2000
To match the expected experimental precision at future linear colliders, improved theoretical predictions beyond next-to-leading order are required.
Beenakker, W., Werthenbach, A.
core   +2 more sources

Finite Volume Effects and Quenched Chiral Logarithms [PDF]

, 1996
We have measured the valence pion mass and the valence chiral condensate on lattice configurations generated with and without dynamical fermions. We find that our data and that of others is well represented by a linear relationship between $m_{\pi}^2 ...
Bernard, Gupta, Robert D. Mawhinney, Sharpe, Sharpe   +4 more
core   +3 more sources

B --> pi and B --> K transitions in partially quenched chiral perturbation theory

, 2003
We study the properties of the B-->pi and B-->K transition form factors in partially quenched QCD by using the approach of partially quenched chiral perturbation theory combined with the static heavy quark limit.
A. Abada, A. F. Falk, A. Morel, A. O. Bouzas, A. Pich, A. V. Manohar, A. X. El-Khadra, C. G. Boyd, C. W. Bernard, C. W. Bernard, D. Becirevic, D. Becirevic, D. J. Broadhurst, Damir Bećirević, E. Eichten, G. Burdman, I. W. Stewart, J. F. Donoghue, J. Gasser, J. L. Goity, J. Shigemitsu, J. Zupan, Jure Zupan, K. C. Bowler, M. B. Wise, M. J. Booth, N. Isgur, P. H. Damgaard, R. Casalbuoni, S. Aoki, S. Aoki, S. R. Sharpe, S. R. Sharpe, S. R. Sharpe, S. R. Sharpe, Saša Prelovšek, U. G. Meissner   +36 more
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An algorithm for the high-energy expansion of multi-loop diagrams to next-to-leading logarithmic accuracy [PDF]

, 2004
We present an algorithm to compute arbitrary multi-loop massive Feynman diagrams in the region where the typical energy scale \sqrt{s} is much larger than the typical mass scale M, i.e.
A. Denner, Abe, Abe, Actis, Aglietti, Aglietti, Aguilar-Saavedra, Beccaria, Beenakker, Beenakker, Binoth, Binoth, Binoth, Ciafaloni, Ciafaloni, Ciafaloni, Ciafaloni, Ciafaloni, Ciafaloni, Ciafaloni, Degrassi, Denner, Denner, Denner, Denner, Denner, Denner, Eden, Fadin, Ferroglia, Feucht, Feucht, Hepp, Hori, Itzykson, Kinoshita, Kuroda, Kühn, Kühn, Kühn, Kühn, Melles, Melles, Melles, Melles, Melles, Melles, Nakanishi, Passarino, Passarino, Pozzorini, Roth, S. Pozzorini   +52 more
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