Three-loop off-forward evolution kernel for axial-vector operators in Larin’s scheme

Braun, Vladimir M.; Manashov, A. N.; Moch, S.; Strohmaier, M.

doi:10.1103/physrevd.103.094018

Cited by 7 publications

(4 citation statements)

References 30 publications

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“…It is well-known that there is ambiguity in defining γ 5 in dimensional regularization. In the two-loop calculation of C [14,15] Larin's scheme [16] was used and the result is then converted by a finite renormalization to the conventional MS-scheme, which is defined by demanding that the evolution equation agrees with the vector case [17]. Larin's scheme can be implemented by making the exchange…”

Section: Application To the Axial-vector Case And The Pion-photon Tra...mentioning

confidence: 99%

Resummation of threshold logarithms in deeply-virtual Compton scattering

Schoenleber

2023

J. High Energ. Phys.

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I derive an all-order resummation formula for the logarithmically enhanced contributions proportional to $$ \frac{\alpha_s^n}{x\pm \xi } $$ α s n x ± ξ log $$ {\left(\frac{\xi \pm x}{2\xi}\right)}^k $$ ξ ± x 2 ξ k in the quark coefficient function of deeply-virtual-Compton scattering and the pion-photon transition form factor in momentum space. The resummation is performed at the next-to-next-to-leading logarithmic accuracy. The key observation is that the quark coefficient function itself factorizes in the x → ±ξ limit, which allows for a resummation using renormalization group equations. A preliminary numerical analysis suggests that the corrections due to resummation for the quark contribution might be small.

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Section: Application To the Axial-vector Case And The Pion-photon Tra...mentioning

confidence: 99%

Resummation of threshold logarithms in deeply-virtual Compton scattering

Schoenleber

2023

J. High Energ. Phys.

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“…It is well-known that there is ambiguity in defining γ 5 in dimensional regularization. In the two-loop calculation of C q [12,13] Larins scheme [14] was used and the result is then converted by a finite renormalization to the conventional MS-scheme, which is defined by demanding that the evolution equation agrees with the vector case [15]. Larins scheme can be implemented by making the exchange…”

Section: One-loop Calculation and Nll Resummationmentioning

confidence: 99%

Resummation of threshold logarithms in deeply-virtual Compton scattering

Schoenleber¹

2022

Preprint

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I derive an all-order resummation formula for the logarithmically enhanced contributions proportional tothe N 3 LL accuracy, in the coefficient function of deeply-virtual-Compton scattering and the pion-photon transition form factor. The key observation is that the non-singlet coefficient function itself factorizes in the x → ±ξ limit, which allows for a resummation using renormalization group equations.

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“…φ π (x, µ F ) represents the celebrated (leading-twist) pion LCDA whose scale dependence is governed by the Efremov-Radyushkin-Brodsky-Lepage (ERBL) evolution kernel where the one-and two-loop results are available in [25,26] and [27][28][29][30][31], respectively. The threeloop ERBL kernel has been computed recently in both the naive dimensional regularization (NDR) [32] and the Larin scheme [33] from conformal symmetry. The CF T 2 can be expanded perturbatively in the form…”

Section: Theory Backgroundmentioning

confidence: 99%

Unraveling the pion light-cone distribution function in the CEPC era

Wang

2022

EPJ Web Conf.

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The light-cone distribution amplitude (LCDA) encapsulates the nonperturbative information of the hadronic states in hard exclusive reactions. The envisioned Circular Electron Positron Collider (CEPC) has the potential to access the pion LCDA at an unprecedented level of accuracy with its clean background, broad energy range, high luminosity and precision measurements. Such knowledge can not only deepen our understanding of the composite hadron structure, but also provide new insights for exploring the intricate structures of the underlying non-abelian gauge theory (QCD).

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Three-loop off-forward evolution kernel for axial-vector operators in Larin’s scheme

Cited by 7 publications

References 30 publications

Resummation of threshold logarithms in deeply-virtual Compton scattering

Resummation of threshold logarithms in deeply-virtual Compton scattering

Resummation of threshold logarithms in deeply-virtual Compton scattering

Unraveling the pion light-cone distribution function in the CEPC era

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