English
Related papers

Related papers: Finite volume corrections to LECs in Wilson and st…

200 papers

Chiral perturbation theory at finite four-volume V (=L^3T) is reconsidered with a view towards finding a computational scheme that can deal with any value of M_\pi L, where M_\pi is a generic Nambu-Goldstone mass. The momentum zero modes…

High Energy Physics - Lattice · Physics 2009-09-18 Poul H. Damgaard , Hidenori Fukaya

We demonstrate that the leading and next-to-leading finite-volume effects in the evaluation of leptonic decay widths of pseudoscalar mesons at $O(\alpha)$ are universal, i.e. they are independent of the structure of the meson. This is…

High Energy Physics - Lattice · Physics 2017-03-01 V. Lubicz , G. Martinelli , C. T. Sachrajda , F. Sanfilippo , S. Simula , N. Tantalo

We derive the mixed as well as unmixed lattice heavy meson chiral Lagrangian up to order O(a^2), with Wilson and Ginsparg-Wilson fermions. We consider two flavor partially quenched QCD and calculate vector meson mass corrections up to order…

High Energy Physics - Lattice · Physics 2010-02-17 Hovhannes R. Grigoryan , Anthony W. Thomas

For quantifying the universal properties of the chiral phase transition in QCD through numerical calculations on a discrete space-time lattice, one needs to perform controlled extrapolations to the continuum and infinite-volume limits…

High Energy Physics - Lattice · Physics 2025-08-28 Sabarnya Mitra , Frithjof Karsch

We use chiral perturbation theory to investigate twisted and partially twisted boundary conditions which allow access to momenta other than integer multiples of 2pi/L on a lattice with spatial volume L^3. For K -> pi pi decays we show that…

High Energy Physics - Lattice · Physics 2009-10-09 Jonathan Flynn , Andreas Juttner , Christopher Sachrajda , Giovanni Villadoro

Using quenched chiral perturbation theory, we compute the long-distance behaviour of two-point functions of flavour non-singlet axial and vector currents in a finite volume, for small quark masses, and at a fixed gauge-field topology. We…

High Energy Physics - Lattice · Physics 2010-04-05 P. H. Damgaard , P. Hernandez , K. Jansen , M. Laine , L. Lellouch

There has been much progress in the experimental measurement of the electric and magnetic polarizabilities of the nucleon. Similarly, lattice QCD simulations have recently produced dynamical QCD results for the magnetic polarizability of…

High Energy Physics - Lattice · Physics 2015-02-23 J. M. M. Hall , D. B. Leinweber , R. D. Young

We present an implementation in conformal field theory (CFT) of local finite conformal transformations fixing a point. We give explicit constructions when the fixed point is either the origin or the point at infinity. Both cases involve the…

Mathematical Physics · Physics 2008-11-26 Michel Bauer , Denis Bernard

This paper summarizes the recent calculations of the masses and decay constants of the pseudoscalar mesons at the two-loop level, or NNLO, in Partially Quenched Chiral Perturbation Theory (PQxPT). Possible applications include chiral…

High Energy Physics - Lattice · Physics 2009-11-11 Timo A. Lahde , Johan Bijnens , Niclas Danielsson

The numerical value of the fine-structure constant generally leads to small isospin-breaking effects due to electromagnetism in QCD. This smallness complicates determining isospin breaking from lattice QCD computations that include…

High Energy Physics - Lattice · Physics 2017-06-07 Matthew E. Matzelle , Brian C. Tiburzi

A new fit is done to obtain numerical values for the order $p^4$ low-energy-constants $L_i^r$ in Chiral Perturbation Theory. This includes both new data and new calculated observables. We take into account masses, decay constants,…

High Energy Physics - Phenomenology · Physics 2015-05-27 Johan Bijnens , Ilaria Jemos

Although taste violations significantly affect the results of staggered calculations of pseudoscalar and heavy-light mesonic quantities, those entering staggered calculations of baryonic quantities have not been quantified. Here I develop…

High Energy Physics - Lattice · Physics 2008-11-26 Jon A. Bailey

The chiral extrapolation of the vector meson mass calculated in partially-quenched lattice simulations is investigated. The leading one-loop corrections to the vector meson mass are derived for partially-quenched QCD. A large sample of…

High Energy Physics - Lattice · Physics 2010-02-17 W. Armour , C. R. Allton , D. B. Leinweber , A. W. Thomas , R. D. Young

We present a comprehensive study of the electromagnetic form factor, the decay constant and the mass of the pion computed in lattice QCD with two degenerate O(a)-improved Wilson quarks at three different lattice spacings in the range…

High Energy Physics - Lattice · Physics 2015-06-16 Bastian B. Brandt , Andreas Juttner , Hartmut Wittig

We describe a first-principles method to apply lattice QCD to compute the order $\alpha_{\mathrm{EM}}$ corrections to $K\to\pi\ell\nu_\ell$ decay. This method formulates the calculation in infinite volume with the conventional…

High Energy Physics - Lattice · Physics 2024-02-15 Norman H. Christ , Xu Feng , Luchang Jin , Christopher T. Sachrajda , Tianle Wang

We study low-energy nucleon Compton scattering in the framework of baryon chiral perturbation theory (B$\chi$PT) with pion, nucleon, and $\Delta$(1232) degrees of freedom, up to and including the next-to-next-to-leading order (NNLO). We…

High Energy Physics - Phenomenology · Physics 2010-01-06 V. Lensky , V. Pascalutsa

We study the finite volume effects on the electric polarizability for the neutron, neutral pion, and neutral kaon using eight dynamically generated two-flavor nHYP-clover ensembles at two different pion masses: 306(1) and 227(2) MeV. An…

High Energy Physics - Lattice · Physics 2016-11-02 M. Lujan , A. Alexandru , W. Freeman , F. X. Lee

Lattice simulations for the electromagnetic form factors of the nucleon yield insights into the internal structure of hadrons. The logarithmic divergence of the charge radius in the chiral limit poses an interesting challenge in achieving…

High Energy Physics - Lattice · Physics 2013-07-11 J. M. M. Hall , D. B. Leinweber , R. D. Young

We present preliminary results from our calculation of the low energy constants (LECs) of the chiral effective theory for 3, 4 and 5 color QCD with $N_f=2$ dynamical fermion flavors. We simulate with clover fermions over a range of lattice…

High Energy Physics - Lattice · Physics 2021-10-22 Evan Wickenden , Thomas DeGrand

We revisit the numerical construction of the initial condition for the dipole amplitude from the McLerran-Venugopalan model in the context of the JIMWLK evolution equation. We observe large finite volume effects induced by the Poisson…

High Energy Physics - Phenomenology · Physics 2022-05-11 Piotr Korcyl