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We report on our ongoing project to determine the leading-order hadronic vacuum polarisation contribution to the muon $g-2$, using ensembles with $N_f=2+1$ flavours of O($a$) improved Wilson quarks generated by the CLS effort, with pion…

High Energy Physics - Lattice · Physics 2018-12-11 Antoine Gérardin , Tim Harris , Georg von Hippel , Ben Hörz , Harvey Meyer , Daniel Mohler , Konstantin Ottnad , Hartmut Wittig

We obtain new estimates for the parameters $\lambda_{E}^2$, $\lambda_H^2$ and their ratio $\mathcal{R} = \lambda_{E}^2/\lambda_H^2$, which appear in the second moments of the $B$-meson light-cone distribution amplitudes defined in the…

High Energy Physics - Phenomenology · Physics 2021-08-11 Muslem Rahimi , Marcel Wald

We study hard $1\to 2$ final-state parton splittings in the medium, and put special emphasis on calculating the Wilson line correlators that appear in these calculations. As partons go through the medium their color continuously rotates, an…

High Energy Physics - Phenomenology · Physics 2021-11-22 Johannes Hamre Isaksen , Konrad Tywoniuk

Extending our recent work, we report on a calculation of the vector current correlation function for light valence quarks in the deconfined phase of quenched QCD in the temperature range 1.16Tc<T<2.98Tc. After performing a systematic…

High Energy Physics - Lattice · Physics 2015-06-03 Anthony Francis , Olaf Kaczmarek

In the chiral limit, the $D=6$ contribution to the Operator Product Expansion (OPE) of the $\mathrm{VV-AA}$ correlator of quark currents only depends on two vacuum condensates, which can be related to hadronic matrix elements associated to…

High Energy Physics - Phenomenology · Physics 2018-11-19 Antonio Rodríguez Sánchez , Antonio Pich

Valence u- and d-quarks distributions in proton are calculated in QCD at low $Q^2$ and intermediate x, basing on the operator product expansion (OPE). The imaginary part of the virtual photon scattering amplitude on quark current with…

High Energy Physics - Phenomenology · Physics 2016-09-06 B. L. Ioffe , A. G. Oganesian

Moments of the quark density, helicity, and transversity distributions are calculated in unquenched lattice QCD. Calculations of proton matrix elements of operators corresponding to these moments through the operator product expansion have…

Resummation of the soft gluon radiative corrections for the quark-vector boson vertex is performed within the path-integral (world-line) approach. The leading order expression for the vacuum averaged Wilson integral for an arbitrary gauge…

High Energy Physics - Phenomenology · Physics 2007-05-23 Igor O. Cherednikov

We introduce the notion of Multichannel Conformal Blocks relevant for the Operator Product Expansion for Null Polygon Wilson loops with more than six edges. As an application of these, we decompose the one loop heptagon Wilson loop and…

High Energy Physics - Theory · Physics 2015-05-28 Amit Sever , Pedro Vieira

We calculate the small-momentum expansion of vector, axial-vector, scalar, and pseudo-scalar heavy-quark current correlators in the large-$\beta_0$ limit of QCD, extending the analysis of Grozin and Sturm beyond the vector current. Our…

High Energy Physics - Phenomenology · Physics 2021-09-01 Diogo Boito , Vicent Mateu , Marcus V. Rodrigues

Using the quark-meson coupling model, we calculate the form factors at sigma- and omega-nucleon strong-interaction vertices in nuclear matter. The Peierls-Yoccoz projection technique is used to take account of center of mass and recoil…

Nuclear Theory · Physics 2007-05-23 K. Saito , K. Tsushima

We estimate the form factors that parametrise the hadronic matrix elements of proton-to-pion transitions with the help of light-cone sum rules. These form factors are relevant for semi-leptonic proton decay channels induced by baryon-number…

High Energy Physics - Phenomenology · Physics 2021-06-08 Ulrich Haisch , Amando Hala

The detailed analysis of nonperturbative contributions to the electromagnetic quark form factor is performed within the framework of the instanton liquid model (ILM) of the QCD vacuum. The method of the path-ordered Wilson exponentials is…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. E. Dorokhov , I. O. Cherednikov

We compute observables in the interacting rank-one 6d $\mathcal{N}=(2,0)$ SCFT at large R-charge. We focus on correlators involving $\Phi^n$, namely symmetric products of the bottom component of the supermultiplet containing the…

High Energy Physics - Theory · Physics 2025-01-14 Jonathan J. Heckman , Adar Sharon , Masataka Watanabe

In the investigation of in-medium modifications of quarkonia and for determining heavy quark diffusion coefficients, correlation functions play a crucial role. For the first time we perform a continuum extrapolation of charmonium and…

High Energy Physics - Lattice · Physics 2020-08-18 Heng-Tong Ding , Olaf Kaczmarek , Anna-Lena Kruse , Hiroshi Ohno , Hauke Sandmeyer

We generalize the celebrated heavy quark expansion to nonlocal QCD operators. By taking nonlocal heavy-light current on the light-cone as an example, we confirm that the collinear singularities are common between QCD operator and the…

High Energy Physics - Phenomenology · Physics 2020-04-29 Shuai Zhao

Wilson lines are key objects in many QCD calculations. They are parallel transporters of the gauge field that can be used to render non-local operator products gauge invariant, which is especially useful for calculations concerning…

High Energy Physics - Phenomenology · Physics 2015-09-25 Frederik F. Van der Veken

The transition form factors of the radiative decays of the heavy tensor mesons to heavy pseudoscalar and heavy vector mesons are calculated in the framework of the light cone QCD sum rules method at the point $Q^2=0$. Using the obtained…

High Energy Physics - Phenomenology · Physics 2019-01-16 T. M. Aliev , M. Savci

We use the Operator Product Expansion (OPE) of quark vacuum polarization functions to show that the dispersion relation of Kniehl and Sirlin will yield the correct result to all orders in $\alpha_s$ when applied to the QCD correction to the…

High Energy Physics - Phenomenology · Physics 2009-10-28 Tatsu Takeuchi , Aaron K. Grant , Mihir Worah

We utilize a previously constructed thermodynamic $T$-matrix approach to the quark-gluon plasma (QGP) to calculate Wilson line correlators (WLCs) of a static quark-antiquark pair and apply them to the results from 2+1-flavor lattice-QCD…

High Energy Physics - Lattice · Physics 2023-10-31 Zhanduo Tang , Swagato Mukherjee , Peter Petreczky , Ralf Rapp