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Loop diagram calculations typically rely on reduction to a finite set of master integrals in $4 - 2\epsilon$ dimensions. It has been shown that for any problem, the masters can be chosen so that their coefficients are finite as $\epsilon…

高能物理 - 唯象学 · 物理学 2022-04-06 Stephen P. Martin

A calculation of the hard bremsstrahlung process e+ e- -> mu+ mu- gamma gamma is presented and compared with recent results from the L3 Collaboration.

高能物理 - 唯象学 · 物理学 2009-10-22 K. Kołodziej , F. Jegerlehner , G. J. van Oldenborgh

We present a comprehensive analytic calculation of the next-to-next-to-leading order $\text{QCD} \otimes \text{EW}$ corrections to $Z$-boson pair production at electron-positron colliders. The two-loop master integrals essential to this…

高能物理 - 唯象学 · 物理学 2024-08-05 Zhe Li , Ren-You Zhang , Shu-Xiang Li , Xiao-Feng Wang , Pan-Feng Li , Yi Jiang , Liang Han , Qing-hai Wang

With a key improvement, the auxiliary mass flow method is now able to compute Feynman integrals encountered in cutting-edge collider processes. We have successfully applied it to compute some integrals involved in two-loop electroweak…

高能物理 - 唯象学 · 物理学 2022-03-16 Xiao Liu , Yan-Qing Ma

We describe a new method of calculation of generic multi-loop master integrals based on the numerical solution of systems of difference equations in one variable. We show algorithms for the construction of the systems using…

高能物理 - 唯象学 · 物理学 2009-07-09 S. Laporta

We present analytic results of the two-loop master integrals for hadronic $tW$ production that contain two massive propagators. For the planar integral family, we succeed in constructing the canonical basis, so the results are written in…

高能物理 - 唯象学 · 物理学 2023-02-17 Jian Wang , Yefan Wang

Analytic formulae are derived for the complete photon energy spectrum due to QED corrections to fermion pair production in case of a limited angular acceptance for the final state fermions. After a numerical integration over the energy of…

高能物理 - 唯象学 · 物理学 2009-10-31 D. Bardin , M. Bilenky , A. Sazonov , Yu. Sedykh , T. Riemann , M. Sachwitz

We present the computation of a full set of planar five-point two-loop master integrals with one external mass. These integrals are an important ingredient for two-loop scattering amplitudes for two-jet-associated W-boson production at…

高能物理 - 唯象学 · 物理学 2020-12-30 S. Abreu , H. Ita , F. Moriello , B. Page , W. Tschernow , M. Zeng

We describe a constructive procedure to separate overlapping infrared divergences in multi-loop integrals. Working with a parametric representation in D=4-2*epsilon dimensions, adequate subtractions lead to a Laurent series in epsilon,…

高能物理 - 唯象学 · 物理学 2009-10-31 T. Binoth , G. Heinrich

I give an introduction to the effective field theory description of top pair production at threshold in e+e- annihilation. The impact of the summation of logarithms of the top quark velocity including most recent results at…

高能物理 - 唯象学 · 物理学 2009-12-30 A. H. Hoang

The Drell-Yan mechanism for the production of lepton pairs is one of the most basic processes for physics studies at hadron colliders. It is therefore important to have accurate theoretical predictions. In this work we compute the two-loop…

高能物理 - 唯象学 · 物理学 2013-05-30 William B. Kilgore , Christian Sturm

We explore the effects of neutrino and electron mixing with exotic heavy leptons in the process e^+e^-\to W^+W^- within E_6 models. We examine the possibility of uniquely distinguishing and identifying such effects of heavy neutral lepton…

高能物理 - 唯象学 · 物理学 2013-06-05 G. Moortgat-Pick , P. Osland , A. A. Pankov , A. V. Tsytrinov

Analytical expressions for the tenth order electromagnetic corrections to the lepton ($L=e, ~\mu $ and $\tau$) anomaly $a_L$ are derived explicitly for a class of Feynman diagrams with insertions of the vacuum polarization operator…

高能物理 - 唯象学 · 物理学 2024-06-25 O. P. Solovtsova , V. I. Lashkevich , L. P. Kaptari

Exclusive hadron production processes in photon-photon collisions provide important tests of QCD at the amplitude level, particularly as measures of hadron distribution amplitudes and skewed parton distributions. The determination of the…

高能物理 - 唯象学 · 物理学 2009-09-25 S. J. Brodsky

Recently, significant enhancements of $e^{+} e^{-}$ pair production at very low transverse momentum ($p_{T} < 0.15$ GeV/c) were observed by the STAR collaboration in peripheral hadronic A+A collisions. This excesses can not be described by…

高能物理 - 唯象学 · 物理学 2018-04-26 W. Zha , L. Ruan , Z. Tang , Z. Xu , S. Yang

The scalar two-loop self-energy master diagram is studied in the case of arbitrary masses. Analytical results in terms of Lauricella- and Appell-functions are presented for the imaginary part. By using the dispersion relation a…

高能物理 - 唯象学 · 物理学 2009-10-28 S. Bauberger , M. Boehm

We compute the radiative corrections to the process of two-pion production in association with a hard photon in $e^+ e^-$ annihilation by taking into account the non-perturbative structure of the pion in the one-loop calculation. For this…

We calculate analytically the master integrals of a planar double-box family for top-quark pair production using the method of differential equations. With a proper choice of the bases, the differential equations can be transformed to the…

高能物理 - 唯象学 · 物理学 2019-03-27 Long-Bin Chen , Jian Wang

A short review is given of the simplified differential equations approach to Master Integrals, which was recently proposed by one of the authors. We show its applicability by calculating some non-trivial two-loop planar Master Integrals,…

高能物理 - 唯象学 · 物理学 2014-09-23 Costas G. Papadopoulos , Damiano Tommasini , Christopher Wever

I review the status of the calculation of two-loop QCD corrections to non-leptonic B-decays in the framework of QCD factorisation. In the case of heavy-to-light decays I will cover the leading penguin amplitudes a_4^u and a_4^c. For…

高能物理 - 唯象学 · 物理学 2014-10-15 Tobias Huber