We present a detailed numerical study of finite volume effects for masses and decay constants of the octet of pseudoscalar mesons. For this analysis we use chiral perturbation theory and asymptoticâ€¦ (More)

We construct the effective chiral Lagrangian for chiral perturbation theory in the mesonic even-intrinsic-parity sector at order p. The Lagrangian contains 112 in principle measurable + 3 contactâ€¦ (More)

We determine the relative pion mass shift MÏ€(L)/MÏ€ âˆ’ 1 due to the finite spatial extent L of the box by means of two-flavor chiral perturbation theory and the one-particle LÃ¼scher formula. We use asâ€¦ (More)

We calculate the divergences of the generating functional of quenched Chiral Perturbation Theory at one loop, and renormalize the theory by an appropriate definition of the counterterms. We show thatâ€¦ (More)

By using the Renormalization Group Equations in Chiral Perturbation Theory, one can calculate the double chiral logs that appear at two loops in any matrix element. We calculate them in the Ï€Ï€â€¦ (More)

There has recently been an intense activity in the study of finite volume effects by means of chiral perturbation theory. In this contribution I review recent work in this field both for the Ç«â€“ (MÏ€Lâ€¦ (More)

We evaluate the pion mass in finite volume to two loops within Chiral Perturbation Theory. The results are compared with a recently proposed extension of the asymptotic formula of LÃ¼scher. We findâ€¦ (More)

We calculate the finite volume effects for the pion and nucleon mass. For the pion mass we present the results of a full two-loop calculation in chiral perturbation theory. The outcome shows that theâ€¦ (More)

We derive an asymptotic formula Ã la LÃ¼scher for the finite volume correction to the pion decay constant: this is expressed as an integral over the ã€ˆ3Ï€|AÎ¼|0ã€‰ amplitude after proper subtraction of theâ€¦ (More)

I discuss recent progress in our understanding of the Ï€Ï€ scattering amplitude at low energy thanks to the combined use of chiral perturbation theory and dispersion relations. I also comment on theâ€¦ (More)