The <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msub><mml:mrow><mml:mi>N</mml:mi></mml:mrow><mml:mrow><mml:mi>f</mml:mi></mml:mrow></mml:msub><mml:mspace width="0.2em"/><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>F</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msubsup></mml:math> contribution to the non-singlet splitting function at four-loop order
T. Gehrmann, Andreas von Manteuffel, V. Sotnikov, Tong-Zhi Yang
Abstract
We report a new result for the NfCF3 contribution to the four-loop anomalous dimensions of non-singlet, twist-two operators in Quantum Chromodynamics. This result is obtained through computations of off-shell operator matrix elements. Employing integration-by-parts reductions and differential equations with respect to a tracing parameter allowed us to derive analytic results valid for arbitrary Mellin moment n.
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PhysicsOperator (biology)Quantum chromodynamicsMoment (physics)Mathematical physicsAlgorithmQuantum mechanicsComputer scienceGeneRepressorBiochemistryChemistryTranscription factorQuantum Chromodynamics and Particle InteractionsBlack Holes and Theoretical PhysicsParticle physics theoretical and experimental studies