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We study taste and Euclidean rotational symmetry violation for staggered fermions at nonzero lattice spacing using staggered chiral perturbation theory. We extend the staggered chiral Lagrangian to O(a^2 p^2), O(a^4) and O(a^2 m), the…

High Energy Physics - Lattice · Physics 2010-11-19 Stephen R. Sharpe , Ruth S. Van de Water

We calculate the axial current decay constants of taste non-Goldstone pions and kaons in staggered chiral perturbation theory through next-to-leading order. The results are a simple generalization of the results for the taste Goldstone…

High Energy Physics - Lattice · Physics 2013-04-03 Jon A. Bailey , Weonjong Lee , Boram Yoon

We calculate the next-to-leading order axial current decay constants of taste non-Goldstone pions and kaons in staggered chiral perturbation theory. This is an extension of the taste Goldstone decay constants calculation to that of the…

High Energy Physics - Lattice · Physics 2013-01-16 Jon A. Bailey , Boram Yoon , Weonjong Lee

We incorporate heavy-light mesons into staggered chiral perturbation theory, working to leading order in 1/m_Q, where m_Q is the heavy quark mass. At first non-trivial order in the chiral expansion, staggered taste violations affect the…

High Energy Physics - Lattice · Physics 2009-11-11 C. Aubin , C. Bernard

We calculate the kaon B-parameter, B_K, to next-to-leading order in staggered chiral perturbation theory. We extend the usual power counting to include the effects of using perturbative (rather than non-perturbative) matching factors. Taste…

High Energy Physics - Lattice · Physics 2007-05-23 Ruth S. Van de Water , Stephen R. Sharpe

Different versions of improved staggered fermions can be used as valence quarks to reduce discretization effects in lattice QCD calculations while increasing statistics on existing staggered gauge ensembles. Such mixed-action simulations…

High Energy Physics - Lattice · Physics 2013-11-26 Jon A. Bailey , Jongjeong Kim , Weonjong Lee , Hyung-Jin Kim , Boram Yoon

We calculate the masses of taste non-Goldstone pions and kaons in staggered chiral perturbation theory through next-to-leading order in the standard power counting. The results can be used to quantitatively understand taste violations in…

High Energy Physics - Lattice · Physics 2013-05-30 Jon A. Bailey , Hyung-Jin Kim , Weonjong Lee , SWME Collaboration

I study two-flavor staggered chiral perturbation theory in the light pseudoscalar sector. The pion mass and decay constant are calculated through NLO in the partially-quenched case. In the limit where the strange quark mass is large…

High Energy Physics - Lattice · Physics 2010-11-09 Xining Du

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

We calculate the kaon B-parameter, B_K, to next-to-leading order in staggered chiral perturbation theory. We find expressions for partially quenched QCD with three sea quarks, quenched QCD, and full QCD with m_u = m_d but not equal to m_s.…

High Energy Physics - Lattice · Physics 2009-11-11 Ruth S. Van de Water , Stephen R. Sharpe

In the light pseudoscalar sector, we study rooted staggered chiral perturbation theory in the two-flavor case. The pion mass and decay constant are calculated through NLO for a partially-quenched theory. In the limit where the strange quark…

We develop Chiral Perturbation Theory for chirally broken theories with fermions in two different representations of the gauge group. Any such theory has a non-anomalous singlet $U(1)_A$ symmetry, yielding an additional Nambu-Goldstone…

High Energy Physics - Phenomenology · Physics 2016-07-13 Thomas DeGrand , Maarten Golterman , Ethan T. Neil , Yigal Shamir

We discuss how to formulate a staggered chiral perturbation theory. This amounts to a generalization of the Lee-Sharpe Lagrangian to include more than one flavor (i.e. multiple staggered fields), which turns out to be nontrivial. One loop…

High Energy Physics - Lattice · Physics 2016-09-01 C. Aubin , C. Bernard

We show how to compute chiral logarithms that take into account both the $\cO(a^2)$ taste-symmetry breaking of staggered fermions and the fourth-root trick that produces one taste per flavor. The calculation starts from the Lee-Sharpe…

High Energy Physics - Lattice · Physics 2008-11-26 C. Aubin , C. Bernard

The chiral Lagrangian for Goldstone boson scattering is a power series expansion in numbers of derivatives. Each successive term is suppressed by powers of a scale, $\Lambda_\chi$, which must be less than of order $4\pi f/\sqrt{N}$ where…

High Energy Physics - Phenomenology · Physics 2013-11-13 R. Sekhar Chivukula , M. Dugan , M. Golden

We apply dilaton chiral perturbation theory (dChPT) at next-to-leading order to lattice data from the LatKMI collaboration for the eight-flavor SU(3) gauge theory. In previous work, we found that leading-order dChPT does not account for…

High Energy Physics - Lattice · Physics 2023-10-09 Andrew Freeman , Maarten Golterman , Yigal Shamir

We study the properties of pions in twisted mass lattice QCD (with two degenerate flavors) using chiral perturbation theory (ChPT). We work to next-to-leading order (NLO) in a power counting scheme in which m_q ~ a \Lambda_QCD^2, with m_q…

High Energy Physics - Lattice · Physics 2009-11-10 Stephen R. Sharpe , Jackson M. S. Wu

Staggered chiral perturbation theory (schpt) takes into account the "fourth-root trick" for reducing unwanted (taste) degrees of freedom with staggered quarks by multiplying the contribution of each sea quark loop by a factor of 1/4. In the…

High Energy Physics - Lattice · Physics 2009-11-11 C. Bernard

It is shown that the low energy coefficients of the next-to-leading order (NLO) chiral perturbation theory needed to determine $\Delta I=1/2$, $K\to\pi\pi$ decay amplitudes can be fixed by calculating $K\pi\to\pi$ amplitudes on lattice.…

High Energy Physics - Lattice · Physics 2009-09-02 Changhoan Kim

In staggered QCD, many staggered baryons correspond to each physical state. Taste violations lift the continuum degeneracies of the baryons and introduce nonzero off-diagonal elements in the mass matrix. While presenting no problem of…

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