37 citations · 65 across the 9 of their papers we have counts for
11 papers
Connecting Supersymmetry to Non-Supersymmetric theories: the Gross-Neveu-Yukawa example
Mrigankamauli Chakraborty, Sven-Olaf Moch
We construct a generalized Lagrangian that unifies the Gross-Neveu-Yukawa, Nambu-Jona-Lasinio-Yukawa, and Wess-Zumino models, allowing for arbitrary scalar and fermion flavors in $…
Four-Loop Gluon Anomalous Dimension of General Lorentz Spin: Transcendental Part
B. A. Kniehl, S. -O. Moch, V. N. Velizhanin +1
We consider the anomalous dimension of the twist-two gluon operator of arbitrary Lorentz spin in the quark flavor singlet sector of a general gauge theory at…
Graphical Functions by Examples
Mrigankamauli Chakraborty, Marco Klann, Sven-Olaf Moch +4
Graphical functions have emerged as a powerful framework for evaluating multi-loop Feynman integrals in perturbative quantum field theory. Defined as massless three-point position-…
Operator Renormalization using Emergent Supersymmetries
Mrigankamauli Chakraborty, Sven-Olaf Moch
We develop a mechanism that enables supersymmetric Ward identities to be applied in non-supersymmetric theories. These identities are then used to streamline calculations in our ta…
Dimensional Reduction is Supersymmetric at Three Loops
Mrigankamauli Chakraborty, Sven-Olaf Moch
We resolve the long-standing claim that regularisation by dimensional reduction (DR) fails to preserve supersymmetry in Super Yang-Mills (SYM) theories at three loops. Earlier resu…
Resummation of small-spin singularities in anomalous dimensions of twist-two operators
Alexander N. Manashov, Sven-Olaf Moch, Leonid A. Shumilov
Anomalous dimensions of leading-twist operators in QCD play an important role in precision predictions for high-energy processes, since they govern the scale evolution of parton di…
Anomalous dimensions at small spins
A. N. Manashov, S. Moch, L. A. Shumilov
In perturbation theory, the anomalous dimensions of twist-two operators have poles at negative or small positive integer values of spin and therefore must be resummed at these poin…
Three-loop evolution kernel for transversity operator
A. N. Manashov, S. Moch, L. A. Shumilov
We calculate quantum corrections to the symmetry generators for the transversity operators in quantum chromodynamics (QCD) in the two-loop approximation. Using this result, we obta…
Three-loop off-forward evolution kernel for axial-vector operators in Larin's scheme
V. M. Braun, A. N. Manashov, S. Moch +1
Evolution equations for leading twist operators in high orders of perturbation theory can be restored from the spectrum of anomalous dimensions and the calculation of the special c…
Conformal symmetry of QCD in -dimensions
V. M. Braun, A. N. Manashov, S. Moch +1
QCD in space-time dimensions possesses a nontrivial critical point. Scale invariance usually implies conformal symmetry so that there are good reasons to expect that QCD a…
Two-loop conformal generators for leading-twist operators in QCD
V. M. Braun, A. N. Manashov, S. Moch +1
QCD evolution equations in minimal subtraction schemes have a hidden symmetry: One can construct three operators that commute with the evolution kernel and form an algebra,…