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Publications (32)

hep-ph2017

The Heavy Quark Form Factors at Two Loops

J. Ablinger, A. Behring, J. BlÃ¼mlein +5

We compute the two-loop QCD corrections to the heavy quark form factors in case of the vector, axial-vector, scalar and pseudo-scalar currents up to second order in the dimensional…

hep-ph2014

The 3-Loop Pure Singlet Heavy Flavor Contributions to the Structure Function $F_{2} (x, Q^{2})$ and the Anomalous Dimension

J. Ablinger, A. Behring, J. BlÃ¼mlein +3

The pure singlet asymptotic heavy flavor corrections to 3-loop order for the deep-inelastic scattering structure function $F_{2} (x, Q^{2})$ and the corresponding transition matrix eleme…

hep-ph2014

Recent progress on the calculation of three-loop heavy flavor Wilson coefficients in deep-inelastic scattering

A. Ablinger, A. Behring, J. BlÃ¼mlein +7

We report on our latest results in the calculation of the three-loop heavy flavor contributions to the Wilson coefficients in deep-inelastic scattering in the asymptotic region $Q^…

hep-ph2014

The Logarithmic Contributions to the O(Î±_s^3) Asymptotic Massive Wilson Coefficients and Operator Matrix Elements in Deeply Inelastic Scattering

A. Behring, I. Bierenbaum, J. BlÃ¼mlein +3

We calculate the logarithmic contributions to the massive Wilson coefficients for deep-inelastic scattering in the asymptotic region $Q^{2} ≫ m^{2}$ to 3-loop order in the fixed-flav…

hep-ph2026

The complete three-loop unpolarized and polarized massive operator matrix elements and asymptotic Wilson coefficients

J. Ablinger, A. Behring, J. BlÃ¼mlein +4

We report on the three-loop unpolarized and polarized massive operator matrix elements, with single- and two-mass corrections, and the associated deep-inelastic massive Wilson coef…

hep-ph2024

The three-loop single-mass heavy flavor corrections to deep-inelastic scattering

J. Ablinger, A. Behring, J. BlÃ¼mlein +4

We report on the status of the calculation of the massive Wilson coefficients and operator matrix elements for deep-inelastic scatterung to three-loop order. We discuss both the un…

hep-ph2013

New Results on the 3-Loop Heavy Flavor Corrections in Deep-Inelastic Scattering

A. Behring, J. BlÃ¼mlein, A. De Freitas +8

We report on recent progress in the calculation of the 3-loop massive Wilson coefficients in deep-inelastic scattering at general values of $N$ for neutral and charged current reac…

hep-ph2017

The Three-Loop Splitting Functions $P_{q g}^{(2)}$ and $P_{g g}^{(2, N_{F})}$

J. Ablinger, A. Behring, J. BlÃ¼mlein +3

We calculate the unpolarized twist-2 three-loop splitting functions $P_{q g}^{(2)} (x)$ and $P_{g g}^{(2, N_{F})} (x)$ and the associated anomalous dimensions using massive three-loop…

hep-ph2014

3-loop heavy flavor Wilson coefficients in deep-inelastic scattering

J. Ablinger, A. Behring, J. BlÃ¼mlein +7

We present our most recent results on the calculation of the heavy flavor contributions to deep-inelastic scattering at 3-loop order in the large $Q^{2}$ limit, where the heavy flavo…

hep-ph2017

Heavy quark form factors at two loops in perturbative QCD

J. Ablinger, A. Behring, J. BlÃ¼mlein +5

We present the results for heavy quark form factors at two-loop order in perturbative QCD for different currents, namely vector, axial-vector, scalar and pseudo-scalar currents, up…

hep-ph2016

3-Loop Corrections to the Heavy Flavor Wilson Coefficients in Deep-Inelastic Scattering

J. Ablinger, A. Behring, J. BlÃ¼mlein +7

A survey is given on the status of 3-loop heavy flavor corrections to deep-inelastic structure functions at large enough virtualities $Q^{2}$ .

hep-ph2015

The 3-Loop Non-Singlet Heavy Flavor Contributions to the Structure Function g_1(x,Q^2) at Large Momentum Transfer

A. Behring, J. BlÃ¼mlein, A. De Freitas +2

We calculate the massive flavor non-singlet Wilson coefficient for the heavy flavor contributions to the polarized structure function $g_{1} (x, Q^{2})$ in the asymptotic region $Q^2 \gg…

hep-ph2015

The O(Î±_s^3) Heavy Flavor Contributions to the Charged Current Structure Function xF_3(x,Q^2) at Large Momentum Transfer

A. Behring, J. BlÃ¼mlein, A. De Freitas +3

We calculate the massive Wilson coefficients for the heavy flavor contributions to the non-singlet charged current deep-inelastic scattering structure function $xF_3^{W^+}(x,Q^2)+x…

hep-ph2023

The first-order factorizable contributions to the three-loop massive operator matrix elements $A_{Q g}^{(3)}$ and $I^ A_{Q g}^{(3)}$

J. Ablinger, A. Behring, J. BlÃ¼mlein +4

The unpolarized and polarized massive operator matrix elements $A_{Q g}^{(3)}$ and $I^ A_{Q g}^{(3)}$ contain first-order factorizable and non-first-order factorizable contributions i…

hep-ph2017

Iterative and Iterative-Noniterative Integral Solutions in 3-Loop Massive QCD Calculations

J. Ablinger, A. Behring, J. BlÃ¼mlein +6

Various of the single scale quantities in massless and massive QCD up to 3-loop order can be expressed by iterative integrals over certain classes of alphabets, from the harmonic p…

hep-ph2016

The Asymptotic 3-Loop Heavy Flavor Corrections to the Charged Current Structure Functions $F_{L}^{W^{+} - W^{-}} (x, Q^{2})$ and $F_{2}^{W^{+} - W^{-}} (x, Q^{2})$

A. Behring, J. BlÃ¼mlein, G. Falcioni +3

We calculate the massive Wilson coefficients for the heavy flavor contributions to the non-singlet charged current deep-inelastic scattering structure functions $F_L^{W^+}(x,Q^2)-F…

hep-ph2019

The three-loop single mass polarized pure singlet operator matrix element

J. Ablinger, A. Behring, J. BlÃ¼mlein +4

We calculate the massive polarized three-loop pure singlet operator matrix element $A_{Qq}^{(3), PS}$ in the single mass case in the Larin scheme. This operator matrix element…

hep-ph2019

The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements

A. Behring, J. BlÃ¼mlein, A. De Freitas +5

We calculate all contributions $\propto T_{F}$ to the polarized three-loop anomalous dimensions in the M-scheme using massive operator matrix elements and compare to results in the l…

hep-ph2015

Calculating Three Loop Ladder and V-Topologies for Massive Operator Matrix Elements by Computer Algebra

J. Ablinger, A. Behring, J. BlÃ¼mlein +3

Three loop ladder and $V$ -topology diagrams contributing to the massive operator matrix element $A_{Q g}$ are calculated. The corresponding objects can all be expressed in terms of…

hep-ph2026

The three-loop single-mass heavy-flavor corrections to the structure functions $F_{2} (x, Q^{2})$ and $g_{1} (x, Q^{2})$

J. Ablinger, A. Behring, J. BlÃ¼mlein +4

We present quantitative results on the single-mass heavy-flavor contributions in the region of large virtualities $Q^{2}$ up to three-loop order to the unpolarized structure function…

hep-ph2025

The Single-Mass Variable Flavor Number Scheme at Three-Loop Order

J. Ablinger, A. Behring, J. BlÃ¼mlein +4

The matching relations in the unpolarized and polarized variable flavor number scheme at three-loop order are presented in the single-mass case. They describe the process of massiv…

hep-ph2021

The Polarized Transition Matrix Element $A_{g q} (N)$ of the Variable Flavor Number Scheme at $O (I^\pm_{s}^{3})$

A. Behring, J. BlÃ¼mlein, A. De Freitas +3

We calculate the polarized massive operator matrix element $A_{g q}^{(3)} (N)$ to 3-loop order in Quantum Chromodynamics analytically at general values of the Mellin variable $N$ bot…

hep-ph2017

Heavy Flavor Wilson Coefficients in Deep-Inelastic Scattering: Recent Results

J. Ablinger, A. Behring, J. BlÃ¼mlein +3

We present recent analytic results for the 3-loop corrections to the massive operator matrix element $A_{Q g}^{(3)}$ for further color factors. These results have been obtained using…

hep-ph2024

The non-first-order-factorizable contributions to the three-loop single-mass operator matrix elements $A_{Q g}^{(3)}$ and $I^ A_{Q g}^{(3)}$

J. Ablinger, A. Behring, J. BlÃ¼mlein +4

The non-first-order-factorizable contributions (The terms 'first-order-factorizable contributions' and 'non-first-order-factorizable contributions' have been introduced and discuss…

hep-ph2023

The inverse Mellin transform via analytic continuation

A. Behring, J. BlÃ¼mlein, K. SchÃ¶nwald

We present a method to calculate the $x$ --space expressions of massless or massive operator matrix elements in QCD and QED containing local composite operator insertions, depending…

hep-ph2014

The 3-Loop Non-Singlet Heavy Flavor Contributions and Anomalous Dimensions for the Structure Function $F_{2} (x, Q^{2})$ and Transversity

J. Ablinger, A. Behring, J. BlÃ¼mlein +6

We calculate the massive flavor non-singlet Wilson coefficient for the heavy flavor contributions to the structure function $F_{2} (x, Q^{2})$ in the asymptotic region $Q^{2} ≫ m^{2}$ and…

hep-ph2026

The variable flavor number scheme to three-loop order

J. Ablinger, A. Behring, J. BlÃ¼mlein +4

We describe the variable flavor number scheme to three-loop order, which modifies the massless parton densities by single- and two-mass effects and introduces heavy-quark parton di…

hep-ph2016

New Results on Massive 3-Loop Wilson Coefficients in Deep-Inelastic Scattering

J. Ablinger, A. Behring, J. BlÃ¼mlein +7

We present recent results on newly calculated 2- and 3-loop contributions to the heavy quark parts of the structure functions in deep-inelastic scattering due to charm and bottom.

hep-ph2025

The heavy quark-antiquark asymmetry in the variable flavor number scheme

A. Behring, J. BlÃ¼mlein, A. De Freitas +3

The twist-2 heavy-quark and antiquark distributions, as defined in the variable flavor number scheme, turn out to be different due to QCD corrections from three-loop onward. This i…

hep-ph2024

Les Houches 2023: Physics at TeV Colliders: Standard Model Working Group Report

J. Andersen, B. Assi, K. Asteriadis +81

This report presents a short summary of the activities of the "Standard Model" working group for the "Physics at TeV Colliders" workshop (Les Houches, France, 12-30 June, 2023).

hep-ph2023

Recent 3-Loop Heavy Flavor Corrections to Deep-Inelastic Scattering

J. Ablinger, A. Behring, J. BlÃ¼mlein +5

We report on recent progress in calculating the three loop QCD corrections of the heavy flavor contributions in deep--inelastic scattering and the massive operator matrix elements…

hep-ph2022

The Unpolarized and Polarized Single-Mass Three-Loop Heavy Flavor Operator Matrix Elements $A_{g g, Q}$ and $I^ A_{g g, Q}$

J. Ablinger, A. Behring, J. BlÃ¼mlein +3

We calculate the gluonic massive operator matrix elements in the unpolarized and polarized cases, $A_{g g, Q} (x, I^¼^{2})$ and $I^ A_{g g, Q} (x, I^¼^{2})$ , at three-loop order for a single mass…

Publications (32)

The Heavy Quark Form Factors at Two Loops

The 3-Loop Pure Singlet Heavy Flavor Contributions to the Structure Function F2​(x,Q2) and the Anomalous Dimension

Recent progress on the calculation of three-loop heavy flavor Wilson coefficients in deep-inelastic scattering

The Logarithmic Contributions to the O(Î±_s^3) Asymptotic Massive Wilson Coefficients and Operator Matrix Elements in Deeply Inelastic Scattering

The complete three-loop unpolarized and polarized massive operator matrix elements and asymptotic Wilson coefficients

The three-loop single-mass heavy flavor corrections to deep-inelastic scattering

New Results on the 3-Loop Heavy Flavor Corrections in Deep-Inelastic Scattering

The Three-Loop Splitting Functions Pqg(2)​ and Pgg(2,NF​)​

3-loop heavy flavor Wilson coefficients in deep-inelastic scattering

Heavy quark form factors at two loops in perturbative QCD

3-Loop Corrections to the Heavy Flavor Wilson Coefficients in Deep-Inelastic Scattering

The 3-Loop Non-Singlet Heavy Flavor Contributions to the Structure Function g_1(x,Q^2) at Large Momentum Transfer

The O(Î±_s^3) Heavy Flavor Contributions to the Charged Current Structure Function xF_3(x,Q^2) at Large Momentum Transfer

The first-order factorizable contributions to the three-loop massive operator matrix elements AQg(3)​ and I^AQg(3)​

Iterative and Iterative-Noniterative Integral Solutions in 3-Loop Massive QCD Calculations

The Asymptotic 3-Loop Heavy Flavor Corrections to the Charged Current Structure Functions FLW+−W−​(x,Q2) and F2W+−W−​(x,Q2)

The three-loop single mass polarized pure singlet operator matrix element

The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements

Calculating Three Loop Ladder and V-Topologies for Massive Operator Matrix Elements by Computer Algebra

The three-loop single-mass heavy-flavor corrections to the structure functions F2​(x,Q2) and g1​(x,Q2)

The Single-Mass Variable Flavor Number Scheme at Three-Loop Order

The Polarized Transition Matrix Element Agq​(N) of the Variable Flavor Number Scheme at O(I^±s3​)

Heavy Flavor Wilson Coefficients in Deep-Inelastic Scattering: Recent Results

The non-first-order-factorizable contributions to the three-loop single-mass operator matrix elements AQg(3)​ and I^AQg(3)​

The inverse Mellin transform via analytic continuation

The 3-Loop Non-Singlet Heavy Flavor Contributions and Anomalous Dimensions for the Structure Function F2​(x,Q2) and Transversity

The variable flavor number scheme to three-loop order

New Results on Massive 3-Loop Wilson Coefficients in Deep-Inelastic Scattering

The heavy quark-antiquark asymmetry in the variable flavor number scheme

Les Houches 2023: Physics at TeV Colliders: Standard Model Working Group Report

Recent 3-Loop Heavy Flavor Corrections to Deep-Inelastic Scattering

The Unpolarized and Polarized Single-Mass Three-Loop Heavy Flavor Operator Matrix Elements Agg,Q​ and I^Agg,Q​

The 3-Loop Pure Singlet Heavy Flavor Contributions to the Structure Function $F_{2} (x, Q^{2})$ and the Anomalous Dimension

The Three-Loop Splitting Functions $P_{q g}^{(2)}$ and $P_{g g}^{(2, N_{F})}$

The first-order factorizable contributions to the three-loop massive operator matrix elements $A_{Q g}^{(3)}$ and $I^ A_{Q g}^{(3)}$

The Asymptotic 3-Loop Heavy Flavor Corrections to the Charged Current Structure Functions $F_{L}^{W^{+} - W^{-}} (x, Q^{2})$ and $F_{2}^{W^{+} - W^{-}} (x, Q^{2})$

The three-loop single-mass heavy-flavor corrections to the structure functions $F_{2} (x, Q^{2})$ and $g_{1} (x, Q^{2})$

The Polarized Transition Matrix Element $A_{g q} (N)$ of the Variable Flavor Number Scheme at $O (I^\pm_{s}^{3})$

The non-first-order-factorizable contributions to the three-loop single-mass operator matrix elements $A_{Q g}^{(3)}$ and $I^ A_{Q g}^{(3)}$

The 3-Loop Non-Singlet Heavy Flavor Contributions and Anomalous Dimensions for the Structure Function $F_{2} (x, Q^{2})$ and Transversity

The Unpolarized and Polarized Single-Mass Three-Loop Heavy Flavor Operator Matrix Elements $A_{g g, Q}$ and $I^ A_{g g, Q}$