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In supersymmetric models, very heavy stop squarks introduce large logarithms into the computation of the Higgs boson mass. Although it has long been known that in simple cases these logs can be resummed using effective field theory…

High Energy Physics - Phenomenology · Physics 2014-04-17 Patrick Draper , Gabriel Lee , Carlos E. M. Wagner

We have derived the coefficients of the highest three 1/x-enhanced small-x logarithms of all timelike splitting functions and the coefficient functions for the transverse fragmentation function in one-particle inclusive e^+e^- annihilation…

High Energy Physics - Phenomenology · Physics 2015-05-30 A. Vogt

We review several recent developments in the theory and phenomenology of deep-inelastic scattering, with particular emphasis on precision tests of QCD and progress in the detailed perturbative treatment of structure functions and parton…

High Energy Physics - Phenomenology · Physics 2007-05-23 Stefano Forte

We present angularity differential cross-section for the deep inelastic scattering process (DIS) in the framework of soft-collinear effective theory (SCET). Using SCET, the cross-section is factorized in terms of hard, jet, beam and soft…

High Energy Physics - Phenomenology · Physics 2021-06-29 Daekyoung Kang , Tanmay Maji

We derive an all order resummation formula for the deeply virtual Compton scattering (DVCS) amplitude, which takes into account soft gluon exchanges in the non-singlet quark coefficient function. We identify the ladder diagrams responsible…

High Energy Physics - Phenomenology · Physics 2012-06-18 T. Altinoluk , B. Pire , L. Szymanowski , S. Wallon

Flexible and accurate noise characterization is crucial for the precise estimation of gravitational-wave parameters. We introduce a Bayesian method for estimating the power spectral density (PSD) of long, stationary time series, explicitly…

General Relativity and Quantum Cosmology · Physics 2026-03-26 Nazeela Aimen , Patricio Maturana-Russel , Avi Vajpeyi , Nelson Christensen , Renate Meyer

We show how to efficiently compute asymptotically sharp estimates of extreme event probabilities in stochastic differential equations (SDEs) with small multiplicative Brownian noise. The underlying approximation is known as sharp large…

Computation · Statistics 2026-03-16 Timo Schorlepp , Tobias Grafke

We employ analytic QCD (anQCD) approach to analyze the unpolarized nucleon structure function (NSF) in deep inelastic scattering ( DIS ) processes at the next-to-leading order (NLO) accuracy. Considering the unreliable results of underlying…

High Energy Physics - Phenomenology · Physics 2021-10-13 L. Ghasemzadeh , A. Mirjalili , S. Atashbar Tehrani

Double logarithms resummation has been much studied in inclusive as well as exclusive processes. The Sudakov mechanism has often be the crucial tool to exponentiate potentially large contributions to amplitudes or cross-sections near…

High Energy Physics - Phenomenology · Physics 2013-09-11 T. Altinoluk , B. Pire , L. Szymanowski , S. Wallon

The book is devoted to the strong approximation of iterated stochastic integrals (ISIs) in the context of numerical integration of Ito SDEs and non-commutative semilinear SPDEs with nonlinear multiplicative trace class noise. The monograph…

Probability · Mathematics 2026-05-04 Dmitriy F. Kuznetsov

I review recent progress in analysing deep inelastic scattering structure functions in global analyses. The new ingredients are new data and attempts to incorporate heavy quarks consistently. A new way of including the resummation of large…

High Energy Physics - Phenomenology · Physics 2009-10-30 R. G. Roberts

We briefly describe a new general algorithm for carrying out QCD calculations to next-to-leading order in perturbation theory. The algorithm can be used for computing arbitrary jet cross sections in arbitrary processes and can be…

High Energy Physics - Phenomenology · Physics 2007-05-23 Stefano Catani , Michael H. Seymour

We compute the logarithmic contributions to the polarized massive Wilson coefficients for deep-inelastic scattering in the asymptotic region $Q^2 \gg m^2$ to 3-loop order in the fixed-flavor number scheme and present the corresponding…

High Energy Physics - Phenomenology · Physics 2021-09-08 J. Blümlein , A. De Freitas , M. Saragnese , C. Schneider , K. Schönwald

We have performed a QCD next-to-leading order (NLO) calculation for Deep Inelastic Scattering (DIS) retaining the full parton and hadron mass dependencies. We find that the gluon initiated contributions to DIS processes, such as charm…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. A. G. Aivazis , Wu-Ki Tung , Fredrick Olness

We show how the resummation of large logarithms can be incorporated into the method of effective charges. As an example, we apply this approach to the event shape variables thrust and heavy jet mass in e+e- annihilation. We find that,…

High Energy Physics - Phenomenology · Physics 2010-04-05 M. J. Dinsdale , C. J. Maxwell

We develop a formalism for resumming threshold double logarithms that appear in fragmentation functions for production of heavy quarkonia. Threshold singularities appear in fixed-order calculations of quarkonium fragmentation functions in…

High Energy Physics - Phenomenology · Physics 2026-04-29 Hee Sok Chung , U-Rae Kim , Jungil Lee

Using renormalization-group methods, we derive differential equations for the all-orders summation of logarithmic corrections to the QCD series for R(s) = sigma(e^+ e^- --> hadrons)/sigma(e^+ e^- --> mu^+ mu^-), as obtained from the…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. R. Ahmady , F. A. Chishtie , V. Elias , A. H. Fariborz , D. G. C. McKeon , T. N. Sherry , A. Squires , T. G. Steele

We discuss recent progress concerning the resummation of large logarithms at next-to-leading power (NLP) in scattering processes near threshold. We begin by briefly reviewing the diagrammatic and SCET approach, which are used to derive…

High Energy Physics - Phenomenology · Physics 2022-08-04 Leonardo Vernazza

Soft-Collinear Effective theory is used to perform threshold resummation for W and Z production at large transverse momentum to next-to-next-to-leading logarithmic accuracy including matching to next-to-leading fixed-order results. The…

High Energy Physics - Phenomenology · Physics 2015-05-28 Thomas Becher , Christian Lorentzen , Matthew D. Schwartz

We propose an algorithm for optimizations in which the gradients contain stochastic noise. This arises, for example, in structural optimizations when computations of forces and stresses rely on methods involving Monte Carlo sampling, such…

Materials Science · Physics 2022-11-30 Siyuan Chen , Shiwei Zhang
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