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We investigate whether magnetic field induced $\pi-\rho$ mixing can explain the non-monotonic behavior of the charged pion reported in lattice QCD. Using a near-pole effective action derived from the SU(2)$_f$ Nambu--Jona-Lasinio model, we…

High Energy Physics - Phenomenology · Physics 2026-05-05 Ziyue Wang

The $\pi_0$ neutral meson pole mass is calculated in a strongly magnetized medium using the SU(2) Nambu-Jona-Lasinio model within the random phase approximation (RPA) at zero temperature and zero baryonic density. We employ a magnetic field…

High Energy Physics - Phenomenology · Physics 2017-02-23 Sidney S. Avancini , Ricardo L. S. Farias , Marcus Benghi Pinto , William R. Tavares , Varese S. Timóteo

We employ a variational basis with a number of $\bar{q}q$ and $\pi\pi$ lattice interpolating fields with quantum numbers of the $\rho$ resonance to extract the discrete energy spectrum in a finite volume. In the elastic region, this…

High Energy Physics - Lattice · Physics 2014-04-21 C. B. Lang , Daniel Mohler , Sasa Prelovsek , Matija Vidmar

We calculate the pole masses of pseudoscalar mesons in a strongly magnetized medium within the framework of the SU(3) Nambu-Jona--Lasinio model, using a magnetic field-independent regularization scheme. We employ both a constant and a…

High Energy Physics - Phenomenology · Physics 2021-12-01 Sidney S. Avancini , Máximo Coppola , Norberto N. Scoccola , Joana C. Sodré

In this work we calculate the pole-mass of the $\rho^0$ meson with different spin projections $s_z=0,\pm 1$ in the context of the magnetized two-flavor Nambu--Jona--Lasinio model. Making use of the mean field approximation to obtain the…

High Energy Physics - Phenomenology · Physics 2022-06-22 Sidney S. Avancini , Ricardo L. S. Farias , William R. Tavares , Varese S. Timóteo

We collect spectra extracted in the $I=\ell=1$ $\pi\pi$ sector provided by various lattice QCD collaborations and study the $m_\pi$ dependence of $\rho$-meson properties using Hamiltonian Effective Field Theory (HEFT). In this unified…

High Energy Physics - Lattice · Physics 2024-03-18 Kang Yu , Yan Li , Jia-Jun Wu , Derek B. Leinweber , Anthony W. Thomas

An analysis of the pion mass and pion decay constant is performed using mixed-action Lattice QCD calculations with domain-wall valence quarks on ensembles of rooted, staggered n_f = 2+1 MILC configurations. Calculations were performed at…

High Energy Physics - Lattice · Physics 2012-11-14 S. R. Beane , W. Detmold , P. M. Junnarkar , T. C. Luu , K. Orginos , A. Parreno , M. J. Savage , A. Torok , A. Walker-Loud

We present our preliminary results concerning the charged/neutral pion mass difference $M_{\pi^{+}} - M_{\pi^{0}}$ at order $\mathcal{O}(\alpha_{em})$ in the QED interactions, and for $M_{\pi^{+}} - M_{\pi^{0}}$ at order $\mathcal{O}\left(…

High Energy Physics - Lattice · Physics 2021-12-03 R. Frezzotti , G. Gagliardi , V. Lubicz , G. Martinelli , F. Sanfilippo , S. Simula

We present a lattice QCD investigation of the $\rho$ resonance using nine $N_f = 2 + 1$ Wilson-Clover ensembles with three lattice spacings and various pion masses ranging from $135$ to $320$ MeV. For each ensemble, a large number of finite…

High Energy Physics - Lattice · Physics 2025-02-07 Zhengli Wang , Derek B. Leinweber , Chuan Liu , Liuming Liu , Peng Sun , Anthony W. Thomas , Jia-jun Wu , Hanyang Xing , Kang Yu

The background magnetic-field formalism of Lattice QCD has been used recently to calculate the magnetic polarizability of the charged pion. These $n_f = 2 + 1$ numerical simulations are electro-quenched, such that the virtual sea-quarks of…

Nuclear Theory · Physics 2021-09-22 Fangcheng He , D. B. Leinweber , A. W. Thomas , P. Wang

We present a calculation of the charged pion electric polarizability using the background field method. To extract the mass-shift induced by the electric field for the accelerated charged particle we fit the lattice QCD correlators using…

High Energy Physics - Lattice · Physics 2021-08-04 Hossein Niyazi , Andrei Alexandru , Frank X. Lee , Michael Lujan

We present non-perturbative results for beyond the standard model kaon mixing matrix elements in the isospin symmetric limit ($m_u=m_d$) of QCD, including a complete estimate of all dominant sources of systematic error. Our results are…

High Energy Physics - Lattice · Physics 2024-04-04 Peter A. Boyle , Felix Erben , Jonathan M. Flynn , Nicolas Garron , Julia Kettle , Rajnandini Mukherjee , J. Tobias Tsang

We investigate the possibility of charged pion condensation in the presence of parallel rotation and magnetic field within the Nambu--Jona-Lasinio model with quarks as the fundamental degrees of freedom. Previous study based on…

Nuclear Theory · Physics 2019-11-20 Gaoqing Cao , Lianyi He

We determine the light meson spectrum in QCD in the presence of background magnetic fields using quenched Wilson fermions. Our continuum extrapolated results indicate a monotonous reduction of the connected neutral pion mass as the magnetic…

High Energy Physics - Lattice · Physics 2018-03-06 Gunnar S. Bali , Bastian B. Brandt , Gergely Endrodi , Benjamin Glaessle

We study light meson properties in a magnetic field, focusing on a charged pion and a charged and polarized rho meson, in quenched lattice QCD. The gauge-invariant density-density correlators are calculated to investigate the deformation…

High Energy Physics - Lattice · Physics 2019-04-30 Koichi Hattori , Arata Yamamoto

We evaluate by means of lattice QCD calculations the low-energy constant $\ell_{7}$ which parametrizes strong isospin effects at NLO in $\rm{SU}(2)$ chiral perturbation theory. Among all low-energy constants at NLO, $\ell_{7}$ is the one…

High Energy Physics - Lattice · Physics 2021-10-27 R. Frezzotti , G. Gagliardi , V. Lubicz , G. Martinelli , F. Sanfilippo , S. Simula

The behavior of charged and neutral pion masses in the presence of a static uniform magnetic field is studied in the framework of the two-flavor Nambu-Jona-Lasinio (NJL) model. Analytical calculations are carried out employing the Ritus…

High Energy Physics - Phenomenology · Physics 2018-05-07 M. Coppola , D. Gomez Dumm , N. N. Scoccola

We calculate the parameters describing elastic $I=1$, $P$-wave $\pi\pi$ scattering using lattice QCD with $2+1$ flavors of clover fermions. Our calculation is performed with a pion mass of $m_\pi \approx 320\:\:{\rm MeV}$ and a lattice size…

Using lattice QCD on a $16^{3}\times 24$ lattice at $\beta=6.0$, we examine the elastic limit of charge overlap functions in the quenched approximation for the pion and rho meson; results are compared to previous direct current insertion…

High Energy Physics - Lattice · Physics 2009-10-28 William Andersen , Walter Wilcox

We present a lattice calculation of the charged/neutral pion mass difference $M_{\pi^{+}}-M_{\pi^{0}}$ at order $\mathcal{O}(\alpha_{em})$ using the gauge configurations produced by the Extended Twisted Mass Collaboration with $N_{f}=2+1+1$…

High Energy Physics - Lattice · Physics 2022-07-20 R. Frezzotti , G. Gagliardi , V. Lubicz , G. Martinelli , F. Sanfilippo , S. Simula
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