Alexander N. Manashov
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Previous Organizations / Institutes
The organizations / institutes from the scholar's other articles in the past ten years
Research Subjects
Alexander N. Manashov has a total of 24 co-authors. Here are the top co-authors by number of shared publications:
- Sven-Olaf Moch
Hamburg University
15 shared publications - Vladimir M. Braun
Universität Regensburg
15 shared publications - Matthias Strohmaier
Institut für Theoretische Physik Universität Regensburg D-93040 Regensburg Germany
12 shared publications - Yao Ji
The Chinese University of Hong Kong
12 shared publications - Sergey E. Derkachov
Steklov Mathematical Institute, St.Petersburg, Russia
7 shared publications - V. M. Braun
Institut für Theoretische Physik, Universität Regensburg, Regensburg, Germany
6 shared publications
Latest Publications
- Open Access
- 14 June 2026
- Published by Springer Nature in The European Physical Journal C
- Vol. 86 (6)
Correction exponents in the chiral Heisenberg model at $1/N^2$: singular contributions and operator mixingWe calculate the correction exponents in the chiral Heisenberg model in the 1/ N expansion. These exponents are related to the slopes of $$\beta $$ functions at the phase transition point. We present the results at order $$1/N^2$$ and check that they agree with the results of the $$\epsilon $$ expansion near $$d = 4$$ . We find that one of the correction exponents diverges as $$d \rightarrow 3$$ . We argue that the appearance of the pole is a rather general phenomenon and is associated with operator mixing involving the system of four-fermion operators. After analyzing the operator mixing structure, we propose a resummation procedure which modifies the exponents already at leading order . We also perform calculations directly in the three-dimensional model and find complete agreement with the resummed exponents.- 14 June 2026
- Published by Springer Nature in The European Physical Journal C
- Vol. 86 (6)
Open AccessCorrection exponents in the chiral Heisenberg model at $1/N^2$: singular contributions and operator mixingWe calculate the correction exponents in the chiral Heisenberg model in the 1/ N expansion. These exponents are related to the slopes of $$\beta $$ functions at the phase transition point. We present the results at order $$1/N^2$$ and check that they agree with the results of the $$\epsilon $$ expansion near $$d = 4$$ . We find that one of the correction exponents diverges as $$d \rightarrow 3$$ . We argue that the appearance of the pole is a rather general phenomenon and is associated with operator mixing involving the system of four-fermion operators. After analyzing the operator mixing structure, we propose a resummation procedure which modifies the exponents already at leading order . We also perform calculations directly in the three-dimensional model and find complete agreement with the resummed exponents. - Open Access
- 3 April 2026
- Published by American Physical Society (APS) in Physical Review D
- Vol. 113 (7)
Conformal moments of the two-loop coefficient functions in DVCS
We develop a new technique and calculate conformal (Gegenbauer) moments of the two-loop coefficient functions in deeply virtual Compton scattering. These results are necessary for the extraction of the generalized parton distributions from the experimental data to the next-to-next-to leading order accuracy within the Mellin-Barnes approach.
- 3 April 2026
- Published by American Physical Society (APS) in Physical Review D
- Vol. 113 (7)
Open AccessConformal moments of the two-loop coefficient functions in DVCS
We develop a new technique and calculate conformal (Gegenbauer) moments of the two-loop coefficient functions in deeply virtual Compton scattering. These results are necessary for the extraction of the generalized parton distributions from the experimental data to the next-to-next-to leading order accuracy within the Mellin-Barnes approach.
- Open Access
- 26 March 2026
- Published by American Physical Society (APS) in Physical Review D
- Vol. 113 (5)
γ * → η γ and γ * → η ′ γ form factors to NNLO accuracy in perturbative QCD
We use conformal symmetry to calculate the next to next to leading order (NNLO) anomalous dimension matrix (three loops) for flavor-singlet axial-vector QCD operators for spin N ≤ 8 from a set of gauge-invariant two-point correlation functions. Combining this result with the recent calculation of the two-loop coefficient functions, we carry out the calculation of the γ γ * → η and γ γ * → η ′ form factors at large momentum transfers to the NNLO accuracy in perturbative QCD.
- 26 March 2026
- Published by American Physical Society (APS) in Physical Review D
- Vol. 113 (5)
Open Accessγ * → η γ and γ * → η ′ γ form factors to NNLO accuracy in perturbative QCD
We use conformal symmetry to calculate the next to next to leading order (NNLO) anomalous dimension matrix (three loops) for flavor-singlet axial-vector QCD operators for spin N ≤ 8 from a set of gauge-invariant two-point correlation functions. Combining this result with the recent calculation of the two-loop coefficient functions, we carry out the calculation of the γ γ * → η and γ γ * → η ′ form factors at large momentum transfers to the NNLO accuracy in perturbative QCD.
- Open Access
Resummation of small-spin singularities in anomalous dimensions of twist-two operators
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 distributions. Their analytic structure as a function of spin is particularly important due to the complexity of higher-loop computations. In these proceedings, we discuss the resummation of the certain type of such singularities that share common features with those appearing in the quark flavor-nonsinglet sector of QCD. Our main focus is on the interplay between Gross-Neveu-Yukawa model in $ε$ expansion and Gross-Neveu in $1/N$ expansion. Such resummation allows one to predict the higher-loop singular behavior and reveals connections with the conformal Regge theory and recent studies of detector operators in QCD and various conformal field theories.Open AccessResummation of small-spin singularities in anomalous dimensions of twist-two operators
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 distributions. Their analytic structure as a function of spin is particularly important due to the complexity of higher-loop computations. In these proceedings, we discuss the resummation of the certain type of such singularities that share common features with those appearing in the quark flavor-nonsinglet sector of QCD. Our main focus is on the interplay between Gross-Neveu-Yukawa model in $ε$ expansion and Gross-Neveu in $1/N$ expansion. Such resummation allows one to predict the higher-loop singular behavior and reveals connections with the conformal Regge theory and recent studies of detector operators in QCD and various conformal field theories. - Open Access
- 11 September 2025
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2025 (9) , 1-30
Anomalous dimensions at small spins
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 points. It was observed earlier that a certain quadratic combination of the anomalous dimensions remains finite at the right-most singularities, providing an efficient tool for resummation. In this paper, we analyze the small-spin behavior of the anomalous dimensions for all types of twist-two operators in the O(N)-symmetric φ 4 model at the four-loop level, in the complex φ 3 model at the three-loop level, and the Gross-Neveu-Yukawa model at the two-loop level. We find that the behavior of the anomalous dimensions at singular points is consistent with theoretical expectations, and we present expressions for the resummed anomalous dimensions.
- 11 September 2025
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2025 (9) , 1-30
Open AccessAnomalous dimensions at small spins
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 points. It was observed earlier that a certain quadratic combination of the anomalous dimensions remains finite at the right-most singularities, providing an efficient tool for resummation. In this paper, we analyze the small-spin behavior of the anomalous dimensions for all types of twist-two operators in the O(N)-symmetric φ 4 model at the four-loop level, in the complex φ 3 model at the three-loop level, and the Gross-Neveu-Yukawa model at the two-loop level. We find that the behavior of the anomalous dimensions at singular points is consistent with theoretical expectations, and we present expressions for the resummed anomalous dimensions.
- Open Access
Anomalous dimensions at small spins
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 points. It was observed earlier that a certain quadratic combination of the anomalous dimensions remains finite at the right-most singularities, providing an efficient tool for resummation. In this paper, we analyze the small-spin behavior of the anomalous dimensions for all types of twist-two operators in the $O(N)$-symmetric $\varphi^4$ model at the four-loop level, in the complex $\varphi^3$ model at the three-loop level, and the Gross-Neveu-Yukawa model at the two-loop level. We find that the behavior of the anomalous dimensions at singular points is consistent with theoretical expectations, and we present expressions for the resummed anomalous dimensions.Open AccessAnomalous dimensions at small spins
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 points. It was observed earlier that a certain quadratic combination of the anomalous dimensions remains finite at the right-most singularities, providing an efficient tool for resummation. In this paper, we analyze the small-spin behavior of the anomalous dimensions for all types of twist-two operators in the $O(N)$-symmetric $\varphi^4$ model at the four-loop level, in the complex $\varphi^3$ model at the three-loop level, and the Gross-Neveu-Yukawa model at the two-loop level. We find that the behavior of the anomalous dimensions at singular points is consistent with theoretical expectations, and we present expressions for the resummed anomalous dimensions. - Open Access
- 14 April 2025
- Published by American Physical Society (APS) in Physical Review D
- Vol. 111 (7)
Kinematic power corrections to deeply virtual Compton scattering to twist-six accuracy
We calculate ( − t / Q ) k and ( m / Q ) k power corrections with k ≤ 4 , where m is the target mass and t is the momentum transfer, to several key observables in deeply virtual Compton scattering (DVCS). We find that the power expansion is well convergent up to | t | / Q 2 ≲ 1 / 4 for most of the observables, but is naturally organized in terms of 1 / ( Q 2 + t ) rather than the nominal hard scale 1 / Q 2 . We also argue that target mass corrections remain under control and do not endanger quantum chromodynamics (QCD) factorization for coherent DVCS on nuclei. These results remove an important source of uncertainties due to the frame dependence and violation of electromagnetic Ward identities in the QCD predictions for the DVCS amplitudes in the leading-twist approximation.
- 14 April 2025
- Published by American Physical Society (APS) in Physical Review D
- Vol. 111 (7)
Open AccessKinematic power corrections to deeply virtual Compton scattering to twist-six accuracy
We calculate ( − t / Q ) k and ( m / Q ) k power corrections with k ≤ 4 , where m is the target mass and t is the momentum transfer, to several key observables in deeply virtual Compton scattering (DVCS). We find that the power expansion is well convergent up to | t | / Q 2 ≲ 1 / 4 for most of the observables, but is naturally organized in terms of 1 / ( Q 2 + t ) rather than the nominal hard scale 1 / Q 2 . We also argue that target mass corrections remain under control and do not endanger quantum chromodynamics (QCD) factorization for coherent DVCS on nuclei. These results remove an important source of uncertainties due to the frame dependence and violation of electromagnetic Ward identities in the QCD predictions for the DVCS amplitudes in the leading-twist approximation.
- Open Access
- 14 January 2025
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2025 (1) , 1-35
The two-loop coefficient functions for double deeply virtual Compton scattering
A bstract: Making use of conformal symmetry of large- n f QCD in d = 4 – 2 ϵ dimensions at the Wilson-Fischer fixed point, we calculate the two-loop coefficient functions in the operator product expansion of two electromagnetic currents in general kinematics with two different photon virtualities. This result is necessary for the description of the double deeply virtual Compton scattering to the next-to-next-to-leading order accuracy, but is also interesting for a range of other two-photon processes. We present analytic expression for the coefficient function in momentum fraction space in the $$ \overline{\textrm{MS}} $$ scheme and study its numerical impact on the Compton form factors for a simple model of the generalized parton distributions. The calculated corrections turn out to be large and are significant for the kinematics of proposed experiments.- 14 January 2025
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2025 (1) , 1-35
Open AccessThe two-loop coefficient functions for double deeply virtual Compton scattering
A bstract: Making use of conformal symmetry of large- n f QCD in d = 4 – 2 ϵ dimensions at the Wilson-Fischer fixed point, we calculate the two-loop coefficient functions in the operator product expansion of two electromagnetic currents in general kinematics with two different photon virtualities. This result is necessary for the description of the double deeply virtual Compton scattering to the next-to-next-to-leading order accuracy, but is also interesting for a range of other two-photon processes. We present analytic expression for the coefficient function in momentum fraction space in the $$ \overline{\textrm{MS}} $$ scheme and study its numerical impact on the Compton form factors for a simple model of the generalized parton distributions. The calculated corrections turn out to be large and are significant for the kinematics of proposed experiments. - Open Access
The two-loop coefficient functions for double deeply virtual Compton scattering
Making use of conformal symmetry of large-$n_f$ QCD in $d=4-2ε$ dimensions at the Wilson-Fischer fixed point, we calculate the two-loop coefficient functions in the operator product expansion of two electromagnetic currents in general kinematics with two different photon virtualities. This result is necessary for the description of the double deeply virtual Compton scattering to the next-to-next-to-leading order accuracy, but is also interesting for a range of other two-photon processes. We present analytic expression for the coefficient function in momentum fraction space in the $\overline{\text{MS}}$ scheme and study its numerical impact on the Compton form factors for a simple model of the generalized parton distributions. The calculated corrections turn out to be large and are significant for the kinematics of proposed experiments.Open AccessThe two-loop coefficient functions for double deeply virtual Compton scattering
Making use of conformal symmetry of large-$n_f$ QCD in $d=4-2ε$ dimensions at the Wilson-Fischer fixed point, we calculate the two-loop coefficient functions in the operator product expansion of two electromagnetic currents in general kinematics with two different photon virtualities. This result is necessary for the description of the double deeply virtual Compton scattering to the next-to-next-to-leading order accuracy, but is also interesting for a range of other two-photon processes. We present analytic expression for the coefficient function in momentum fraction space in the $\overline{\text{MS}}$ scheme and study its numerical impact on the Compton form factors for a simple model of the generalized parton distributions. The calculated corrections turn out to be large and are significant for the kinematics of proposed experiments. - Open Access
- 26 September 2024
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2024 (9) , 1-29
Three-loop evolution kernel for transversity operator
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 obtain the evolution kernel for the corresponding operators at three loops. The explicit expression for the anomalous dimension matrix in the Gegenbauer basis is given for the first few operators.
- 26 September 2024
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2024 (9) , 1-29
Open AccessThree-loop evolution kernel for transversity operator
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 obtain the evolution kernel for the corresponding operators at three loops. The explicit expression for the anomalous dimension matrix in the Gegenbauer basis is given for the first few operators.