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In this article two-loop QED corrections to the muon decay and corrections of order $\alpha_s^2$ to the semileptonic decay of the bottom quark are considered. We compute the imaginary part of the four-loop diagrams contributing to the…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Steinhauser , T. Seidensticker

We humbly and briefly offer corrections and supplements to Mathematical Constants (2003) and Mathematical Constants II (2019), both published by Cambridge University Press. Comments are always welcome.

History and Overview · Mathematics 2024-05-29 Steven Finch

We make two tiny corrections to our previous paper with the same title, and also obtain, as a bonus, something new.

Complex Variables · Mathematics 2007-11-06 Judith Brinkschulte , C. Denson Hill , Mauro Nacinovich

This Comment identifies errors in the formalism/implementation reported in Ref. 1 and discusses some aspects of that work that were not fully specified in the original publication. This Comment also provides reference numerical results for…

Chemical Physics · Physics 2023-02-15 Conner Masteran , Ashutosh Kumar , Nakul Teke , Bimal Gaudel , Takeshi Yanai , Edward F. Valeev

The effective action for reggeized gluons is based on the gluodynamic Yang-Mills Lagrangian with external current for longitudinal gluons added, see [1]. On the base of classical solutions, obtained in [2], the one-loop corrections to this…

High Energy Physics - Theory · Physics 2017-10-25 S. Bondarenko , L. Lipatov , S. Pozdnyakov , A. Prygarin

We comment on the recent attempt by M. Franz et al [1] to further justify their earlier calculation of the gauge-invariant electron propagator in the context of the QED_3 theory of the pseudogap phase in cuprates [2]. First, we use the…

Strongly Correlated Electrons · Physics 2007-05-23 D. V. Khveshchenko

This is an erratum to 'On the quantitative distribution of polynomial nilsequences' [GT]. The proof of Theorem 8.6 of that paper, which claims a distribution result for multiparameter polynomial sequences on nilmanifolds, was incorrect. We…

Number Theory · Mathematics 2015-08-17 Ben Green , Terence Tao

A compendium for outsiders.

High Energy Physics - Phenomenology · Physics 2022-05-04 Chris Quigg

Our results for the primordial abundance of a massive Majorana tau neutrino (hep-ph/9603201) published in PRL76, 2848 (1996) were incorrect due to a trivial (but annoying) error in the numerical code. In this ERRATUM we present the…

High Energy Physics - Phenomenology · Physics 2016-09-06 Steen Hannestad , Jes Madsen

Comment on K.J Thomas et al., Phys. Rev. Lett. 77, 135-138 (1996).

Mesoscale and Nanoscale Physics · Physics 2009-09-25 Ralf D. Tscheuschner , Thomas Woelkhausen

This paper has been withdrawn by the author due to an error in the computation of E(n,x) on page 6 which appears to be essential for the result. The author is currently trying to correct this proof

Probability · Mathematics 2007-05-23 Sebastien Blachere

This paper corrects an error in [Keller-Ressel, M. and Steiner T. "Yield curve shapes and the asymptotic short rate distribution in affine one-factor models." Finance and Stochastics 12.2 (2008): 149-172]. The error concerns the correct…

Mathematical Finance · Quantitative Finance 2018-02-15 Martin Keller-Ressel

We revisit the calculation of the three-loop diagrams for the radiative neutrino mass generation and consider some relevant constraints on the model recently proposed by L. Jin {\it et al} [Phys. Lett. B 741 (2015) 163]. We find that the…

High Energy Physics - Phenomenology · Physics 2015-04-28 Chao-Qiang Geng , Da Huang , Lu-Hsing Tsai

Scaling of the Landau gauge gluon propagator calculated at beta=6.0 and at beta=6.2 is demonstrated. A variety of functional forms for the gluon propagator calculated on a large (32^3x64) lattice at beta=6.0 are investigated.

High Energy Physics - Lattice · Physics 2008-11-26 D. B. Leinweber , C. Parrinello , J. I. Skullerud , A. G. Williams

The isospin-breaking correlator of the product of flavor octet vector currents, $V^3_\mu$ and $V^8_\nu$, $\Pi^{38}_{\mu\nu}(q^2)$ is computed to next-to-next- to-leading (two-loop) order in Chiral Perturbation Theory. Large corrections to…

High Energy Physics - Phenomenology · Physics 2009-10-28 Kim Maltman

Correction to Bernoulli (2006), 12, 551--570 http://projecteuclid.org/euclid.bj/1151525136

Statistics Theory · Mathematics 2009-09-29 Brice Franke

A large set of techniques needed to compute decay rates at the two-loop level are derived and systematized. The main emphasis of the paper is on the two Standard Model decays H -> gamma gamma and H -> g g. The techniques, however, have a…

High Energy Physics - Phenomenology · Physics 2010-04-21 S. Actis , G. Passarino , C. Sturm , S. Uccirati

We evaluate the two-loop corrections to Bhabha scattering from fermion loops in the context of pure Quantum Electrodynamics. The differential cross section is expressed by a small number of Master Integrals with exact dependence on the…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. Actis , M. Czakon , J. Gluza , T. Riemann

This is a comment on "Universal Fluctuations in Correlated Systems", by Bramwell et al, Phys. Rev. Lett., 84, 3744 (2000.

Statistical Mechanics · Physics 2016-08-31 N. W. Watkins , S. C. Chapman , G. Rowlands

Revised version to be published in the Proceedings of the Encuentros Relativistas Espa\~noles, September, 2000 [ http://hades.eis.uva.es/EREs2000 ]

General Relativity and Quantum Cosmology · Physics 2017-08-23 Donato Bini , Robert T. Jantzen