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We consider two-loop leading and next-to-leading logarithmic virtual corrections to arbitrary processes with external massless fermions in the electroweak Standard Model at energies well above the electroweak scale. Using the…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Denner , B. Jantzen , S. Pozzorini

In the limit of large nuclear charge, $Z\gg 1$, or small lepton velocity, $\beta \ll 1$, Coulomb corrections to nuclear beta decay and related processes are enhanced as $Z\alpha/\beta$ and become large or even non-perturbative (with…

High Energy Physics - Phenomenology · Physics 2024-09-04 Richard J. Hill , Ryan Plestid

We compute the next-to-leading order QCD corrections to the ``direct'' part of the spin-dependent cross section for hadron-pair photoproduction. The calculation is performed using largely analytical methods. We present a brief…

High Energy Physics - Phenomenology · Physics 2008-11-26 Christof Hendlmeier , Andreas Schafer , Marco Stratmann

We compare the theoretical frameworks and the phenomenological applications of the factorization approaches to exclusive $B$ meson decays, which include QCD-improved factorization, perturbative QCD, and soft-collinear effective theory.…

High Energy Physics - Phenomenology · Physics 2008-11-26 Hsiang-nan Li

We derive QCD sum rules for heavy baryons at leading order in $1/m_Q$ and at next-to-leading order in $\alpha_s$. The calculation involves the evaluation of four different perturbative three-loop diagrams which determine the…

High Energy Physics - Phenomenology · Physics 2016-08-24 S. Groote , J. G. Körner , O. I. Yakovlev

We calculate the cross section for $e^+ e^-$ annihilation into three jets for massive quarks at next-to-leading order in perturbative QCD, both on and off the $Z$ resonance. Our computation allows the implementation of any jet clustering…

High Energy Physics - Phenomenology · Physics 2009-10-30 Werner Bernreuther , Arnd Brandenburg , Peter Uwer

We present a first analysis of parton-to-pion fragmentation functions at next-to-next-to-leading order accuracy in QCD based on single-inclusive pion production in electron-positron annihilation. Special emphasis is put on the technical…

High Energy Physics - Phenomenology · Physics 2016-04-11 Daniele P. Anderle , Felix Ringer , Marco Stratmann

We compute the next-to-leading-order (NLO) QCD corrections to the Higgs pT distribution in Higgs production in association with a jet via gluon fusion at the LHC, with exact dependence on the mass of the quark circulating in the heavy-quark…

High Energy Physics - Phenomenology · Physics 2023-07-19 R. Bonciani , V. Del Duca , H. Frellesvig , M. Hidding , V. Hirschi , F. Moriello , G. Salvatori , G. Somogyi , F. Tramontano

Any practical application of the Schwinger-Dyson equations to the study of $n$-point Green's functions of a field theory requires truncations, the best known being finite order perturbation theory. Strong coupling studies require a…

Nuclear Theory · Physics 2017-03-29 Shaoyang Jia , M. R. Pennington

I describe how to calculate cross sections for hard-scattering processes in high energy collisions at next to leading order in QCD. I consider infrared-safe quantities and I assume that the scattering amplitudes are known in analytic form…

High Energy Physics - Phenomenology · Physics 2007-05-23 Z. Kunszt

We present an efficient second-order finite difference scheme for solving the 2D sine-Gordon equation, which can inherit the discrete energy conservation for the undamped model theoretically. Due to the semi-implicit treatment for the…

Numerical Analysis · Mathematics 2017-06-28 Xiaorong Kang , Wenqiang Feng , Kelong Cheng , Chunxiang Guo

I review recent advances in the calculation of higher-order soft-gluon corrections for a variety of QCD, Higgs, and SUSY processes in hadron colliders. A unified approach and master formulas for next-to-next-to-leading order soft and…

High Energy Physics - Phenomenology · Physics 2009-11-10 Nikolaos Kidonakis

We consider QCD radiative corrections to top-quark pair production at hadron colliders. We use the $q_T$ subtraction formalism to perform a fully-differential computation for this process. Our calculation is accurate up to the…

High Energy Physics - Phenomenology · Physics 2016-01-27 Roberto Bonciani , Stefano Catani , Massimiliano Grazzini , Hayk Sargsyan , Alessandro Torre

We present a detailed analysis of QED corrections to $\bar{B} \to \bar{K} \ell^+ \ell^-$ decays at the double-differential level. Cancellations of soft and collinear divergences are demonstrated analytically using the phase space slicing…

High Energy Physics - Phenomenology · Physics 2021-03-25 Gino Isidori , Saad Nabeebaccus , Roman Zwicky

We study the soft limit of one-photon radiation at next-to-leading power (NLP) in the framework of heavy-quark effective theory (HQET) to all orders in perturbation theory. We establish the soft theorem that for unpolarised scattering the…

High Energy Physics - Phenomenology · Physics 2023-12-19 Tim Engel

We discuss high-order calculations in perturbative effective field theory for fermions at low energy scales. The Fermi-momentum or $k_{\rm F} a_s$ expansion for the ground-state energy of the dilute Fermi gas is calculated to fourth order,…

Quantum Gases · Physics 2021-07-28 C. Wellenhofer , C. Drischler , A. Schwenk

We derive logarithmically enhanced two-loop virtual electroweak corrections for arbitrary fermion-scattering processes at the TeV scale. This extends results previously obtained for massless fermion scattering to processes that involve also…

High Energy Physics - Phenomenology · Physics 2009-11-19 Ansgar Denner , Bernd Jantzen , Stefano Pozzorini

The FAC, PMS, and BLM optimization methods are applied to the QED corrections to the muon lifetime in the Fermi V-A theory. The FAC and PMS scales are close to m_e, while the BLM scale nearly concides with the geometric average \sqrt{m_e…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Ferroglia , G. Ossola , A. Sirlin

The impact of recently calculated next-to-next-to-leading order QCD corrections and soft gluon resummations on the extraction of higher twist contributions to the deep-inelastic structure function F_2 is studied using the BCDMS and SLAC…

High Energy Physics - Phenomenology · Physics 2009-11-07 S. Schaefer , A. Schäfer , M. Stratmann

On the basis of a renormalization group analysis of the kernel and of the solutions of the BFKL equation with subleading corrections, we propose and calculate a novel expansion of a properly defined effective eigenvalue function. We argue…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Ciafaloni , D. Colferai