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We study 2D QCD with a fundamental fermion at small-$N$ using the recently proposed conformal basis approach. We find that effective conformal dominance still holds, namely that the spectrum converges efficiently, with high…

High Energy Physics - Theory · Physics 2014-05-28 Emanuel Katz , Gustavo Marques Tavares , Yiming Xu

We calculate in QCD$_2$ the ratios of baryonic matrix elements of $\Delta I = 2$ and $\Delta I = 0$ four-fermion operators, with a view to understanding better the mechanism of $\Delta I = 1/2$ enhancement in QCD$_4$. We find relatively…

High Energy Physics - Phenomenology · Physics 2009-09-11 John Ellis , Yitzhak Frishman , Amihay Hanany , Marek Karliner

Using cutting techniques we obtain the two-loop N=4 super-Yang-Mills helicity amplitudes for four-gluon scattering in terms of scalar integral functions. The N=4 amplitudes are considerably simpler than corresponding QCD amplitudes and…

High Energy Physics - Phenomenology · Physics 2009-10-30 Z. Bern , J. S. Rozowsky , B. Yan

We compute relativistic corrections to the gluon fragmentation functions to ${}^3P_J^{[1,8]}$ Fock states of heavy quarkonium within non-relativistic QCD factorization framework. We find that, at $\mathcal{O}(v^2)$ sub-leading order, the…

High Energy Physics - Phenomenology · Physics 2026-02-20 Zhi-Guo He , Bernd A. Kniehl , Peng Zhang

Both for quark flavor asymmetry and valence, we consider the anomalous dimension of the non-singlet twist-two quark operator of arbitrary Lorentz spin N at four loops in SU(nc) color gauge theory and present its term proportional to zeta(3)…

High Energy Physics - Phenomenology · Physics 2026-05-12 B. A. Kniehl , V. N. Velizhanin

We investigate the twist four longitudinal structure function $F_{L}^{\tau=4}$ of deep inelastic scattering and show that the integral of ${F_{L}^{\tau=4} \over x}$ is related to the expectation value of the fermionic part of the…

High Energy Physics - Phenomenology · Physics 2009-10-30 A. Harindranath , Rajen Kundu , Asmita Mukherjee , James P. Vary

We report on the fully analytic calculation of the leading-power contribution to the photon-pion transition form factor $\gamma \, \gamma^{\ast} \to \pi^0$ at two loops in QCD. The applied techniques are based on hard-collinear…

High Energy Physics - Phenomenology · Physics 2021-10-29 Jing Gao , Tobias Huber , Yao Ji , Yu-Ming Wang

The universal fragmentation functions of gluon into the flavored quarkonia $B_c$ and (polarized) $B_c^*$ are computed within NRQCD factorization framework, at the lowest order in velocity expansion and strong coupling constant. It is…

High Energy Physics - Phenomenology · Physics 2022-10-12 Feng Feng , Yu Jia , Deshan Yang

The electromagnetic nucleon to Delta transition form factors are evaluated using two degenerate flavors of dynamical Wilson fermions and using dynamical sea staggered fermions with domain wall valence quarks. The two subdominant quadrupole…

High Energy Physics - Lattice · Physics 2008-11-26 C. Alexandrou , G. Koutsou , H. Neff , J. W. Negele , W. Schroers , A. Tsapalis

The quarkonic contributions to the three-loop heavy-quark form factors for vector, axial-vector, scalar and pseudoscalar currents are described by closed form difference equations for the expansion coefficients in the limit of small…

High Energy Physics - Phenomenology · Physics 2023-07-07 Johannes Blümlein , Abilio De Freitas , Peter Marquard , Narayan Rana , Carsten Schneider

We calculate the cross section of a pion diffraction dissociation in two jets with large transverse momenta originating from a hard gluon exchange between the pion constituents. To the leading logarithmic accuracy (in energy), the…

High Energy Physics - Phenomenology · Physics 2009-11-07 V. M. Braun , D. Yu. Ivanov , A. Schaefer , L. Szymanowski

We compute, to two loops in pertubation theory, the fermionic contribution to rectangular RxT Wilson loops, for different values of R and T. We use the overlap fermionic action. We also employ the clover action, for comparison with existing…

High Energy Physics - Lattice · Physics 2016-09-01 A. Athenodorou , H. Panagopoulos

We compute the relative-order-v^4 contribution to gluon fragmentation into quarkonium in the 3S1 color-singlet channel, using the nonrelativistic QCD (NRQCD) factorization approach. The QCD fragmentation process contains infrared…

High Energy Physics - Phenomenology · Physics 2023-07-25 Geoffrey T. Bodwin , U-Rae Kim , Jungil Lee

The $Q^2$ evolution of fragmentation function in non-equilibrium QCD by using DGLAP evolution equation may be necessary to study hadron formation from quark-gluon plasma at RHIC and LHC. In this paper we study splitting functions in…

High Energy Physics - Phenomenology · Physics 2012-11-27 Gouranga C. Nayak

We calculate the fermion propagator and the quark-antiquark Green's functions for a complete set of ultralocal fermion bilinears, ${{\cal O}_\Gamma}$ [$\Gamma$: scalar (S), pseudoscalar (P), vector (V), axial (A) and tensor (T)], using…

High Energy Physics - Lattice · Physics 2013-11-22 G. S. Bali , F. Bruckmann , M. Constantinou , M. Costa , G. Endrodi , S. D. Katz , H. Panagopoulos , A. Schafer

We present a new (and general) algorithm for deriving lattice Feynman rules which is capable of handling actions as complex as the Highly Improved Staggered Quark (HISQ) action. This enables us to perform a perturbative calculation of the…

High Energy Physics - Lattice · Physics 2010-01-21 A. Hart , G. M. von Hippel , R. R. Horgan

We calculate the gravitational form factors (GFFs) and pressure, shear and energy distributions for a quark state dressed with a gluon at one loop in QCD. We use the light-front Hamiltonian approach. In the light-front gauge, we use a…

High Energy Physics - Phenomenology · Physics 2022-04-06 Jai More , Asmita Mukherjee , Sreeraj Nair , Sudeep Saha

We present a calculation of the leading order hadronic contribution to the anomalous magnetic moment of the muon for a dynamical simulation of 2+1 flavour QCD using domain wall fermions. The electromagnetic 2-point function is evaluated on…

High Energy Physics - Lattice · Physics 2015-03-19 Peter Boyle , Luigi Del Debbio , Eoin Kerrane , James Zanotti

We present the fully integrated form of the two-loop four-gluon amplitude in $\mathcal{N} = 2$ supersymmetric quantum chromodynamics with gauge group SU$(N_c)$ and with $N_f$ massless supersymmetric quarks (hypermultiplets) in the…

High Energy Physics - Theory · Physics 2019-12-18 Claude Duhr , Henrik Johansson , Gregor Kälin , Gustav Mogull , Bram Verbeek

We study the threshold corrections to the structure functions in deep-inelastic scattering (DIS) at the fifth logarithmic (N$^4$LL) order of the soft-gluon exponentiation in massless perturbative QCD. Using recent results for the splitting…

High Energy Physics - Phenomenology · Physics 2019-08-09 Goutam Das , Sven-Olaf Moch , Andreas Vogt