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We present a novel method for extracting the proton radius from elastic electron-proton ($ep$) scattering data. The approach is based on interpolation via continued fractions augmented by statistical sampling and avoids any assumptions on…

High Energy Physics - Phenomenology · Physics 2021-09-01 Zhu-Fang Cui , Daniele Binosi , Craig D. Roberts , Sebastian M. Schmidt

The leptonic decay of the charged pion in the presence of background magnetic fields is investigated using quenched Wilson fermions. It is demonstrated that the magnetic field opens up a new channel for this decay. The magnetic…

High Energy Physics - Lattice · Physics 2018-04-18 Gunnar S. Bali , Bastian B. Brandt , Gergely Endrodi , Benjamin Glaessle

We present a calculation of pion photo- and electroproduction in manifestly Lorentz-invariant baryon chiral perturbation theory up to and including order $q^4$. We fix the low-energy constants by fitting experimental data in all available…

Nuclear Theory · Physics 2013-09-16 M. Hilt , B. C. Lehnhart , S. Scherer , L. Tiator

We calculate the pion-pion elastic scattering phase shifts for pion masses from the chiral limit to values of interest for lattice studies. At low energies, we use the standard Chiral Perturbation Theory expressions to one and two loops. In…

High Energy Physics - Phenomenology · Physics 2011-10-11 J. Nebreda , J. R. Pelaez , G. Rios

The pion-mass dependence of the nucleon mass within the covariant SU(2) baryon chiral perturbation theory both without and with explicit Delta(1232) degrees of freedom up to order p^4 is investigated. By fitting to lattice QCD data in 2 and…

High Energy Physics - Phenomenology · Physics 2013-10-18 L. Alvarez-Ruso , T. Ledwig , J. Martin Camalich , M. J. Vicente-Vacas

We derive the pion mass and the elastic pion-pion scattering amplitude in the QCD theta-vacuum up to next-to-leading order in chiral perturbation theory. Using the modified inverse amplitude method, we study the theta-dependence of the mass…

High Energy Physics - Phenomenology · Physics 2015-09-30 Neramballi Ripunjay Acharya , Feng-Kun Guo , Maxim Mai , Ulf-G. Meißner

We present the first lattice QCD calculation of the leading-order momentum-independent parity violating coupling between pions and nucleons, $h_{\pi{NN}}^1$. The calculation performs measurements on dynamical anisotropic clover gauge…

High Energy Physics - Lattice · Physics 2012-03-16 Joseph Wasem

Systematic differences in the the proton's charge radius, as determined by ordinary atoms and muonic atoms, have caused a resurgence of interest in elastic lepton scattering measurements. The proton's charge radius, defined as the slope of…

A simple matching procedure is proposed to extract constraints on effective meson theories. In this way, a QCD prediction for the pion decay constant is found, F(pi)=2 m(pi)/pi, i.e. approximately 90MeV. The same procedure also determines…

High Energy Physics - Phenomenology · Physics 2007-05-23 Christopher Smith

The proton size, specifically its charge radius, was thought known to about 1% accuracy. Now a new method probing the proton with muons instead of electrons finds a radius about 4% smaller, and to boot gives an uncertainty limit of about…

High Energy Physics - Phenomenology · Physics 2015-05-20 Carl E. Carlson

We extrapolate lattice calculations of electric charge radii of the spin-1/2 baryon octet to the physical regime. The extrapolation procedure incorporates chiral perturbation theory and heavy quark effective theory in the appropriate…

High Energy Physics - Lattice · Physics 2010-02-17 E. J. Hackett-Jones , D. B. Leinweber , A. W. Thomas

We present the first determination of the $x$-dependent pion gluon distribution from lattice QCD using the pseudo-PDF approach. We use lattice ensembles with 2+1+1 flavors of highly improved staggered quarks (HISQ), generated by MILC…

High Energy Physics - Lattice · Physics 2021-11-17 Zhouyou Fan , Huey-Wen Lin

The proton-radius puzzle refers to the discrepancy observed in measurements of the proton's charge radius when using different methods. This inconsistency has prompted extensive research and debate within the physics community, as it…

High Energy Physics - Phenomenology · Physics 2025-04-01 The MMGPDs Collaboration , Muhammad Goharipour , Fatemeh Irani , Hadi Hashamipour , K. Azizi

We perform a nonperturbative lattice calculation of the complex phase and modulus of the pion form factor in the timelike momentum region using the finite-volume technique. We use two ensembles of 2+1-flavor overlap fermion at pion masses…

High Energy Physics - Lattice · Physics 2015-03-18 Xu Feng , Sinya Aoki , Shoji Hashimoto , Takashi Kaneko

We discuss the pion form factor calculation in QCD.We shortly consider the main points of the nonlocal condensate QCD sum rule approach and show its results for the pion form factor, $F_\pi(Q^2)$. These results are compared with predictions…

High Energy Physics - Phenomenology · Physics 2015-05-20 Alexander P. Bakulev

We report on a lattice QCD calculation of the nucleon axial charge, $g_A$, using M\"{o}bius Domain-Wall fermions solved on the dynamical $N_f=2+1+1$ HISQ ensembles after they are smeared using the gradient-flow algorithm. The calculation is…

We examine the quark mass dependence of the pion vector form factor, particularly the curvature (mean quartic radius). We focus our study on the consequences of assuming that the coupling constant of the rho to pions is largely independent…

High Energy Physics - Phenomenology · Physics 2010-01-08 Feng-Kun Guo , Christoph Hanhart , Felipe J. Llanes-Estrada , Ulf-G. Meißner

An explicit expression of the generating functional of two-flavor low-energy QCD with external sources in the presence of non-vanishing nucleon densities has been derived recently [1]. Within this approach we derive power counting rules for…

Nuclear Theory · Physics 2008-11-26 Ulf-G. Meißner , José A. Oller , Andreas Wirzba

We investigated the role of the pion mass on the QCD phase diagram in the $T-eB$ plane using an effective model treatment. Such treatments are able to capture the main features predicted by first-principles calculations. We also employed…

High Energy Physics - Phenomenology · Physics 2025-08-21 Chowdhury Aminul Islam , Mahammad Sabir Ali , Rishi Sharma

We show that processes involving pions that remain very near their mass-shell can be reliably computed in the pionless effective field theory, with the pion integrated in as a heavy field. As an application, we compute the pion-deuteron…

Nuclear Theory · Physics 2009-11-07 Silas R. Beane , Martin J. Savage
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