The pion mass and decay constant at three loops in two-flavour chiral perturbation theory

被引：10

作者：

Bijnens, Johan ^{[1
]}

Truedsson, Nils Hermansson ^{[1
]}

机构：

[1] Lund Univ, Dept Astron & Theoret Phys, Solvegatan 14A, SE-22362 Lund, Sweden

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2017年 / 11期

基金：

瑞典研究理事会; 欧洲研究理事会;

关键词：

Chiral Lagrangians; Effective Field Theories; RENORMALIZATION; SCATTERING;

D O I：

10.1007/JHEP11(2017)181

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

A calculation of the pion mass and decay constant at NNNLO in two-flavour chiral perturbation theory is presented. The results are cross-checked by using both the exponential and square root parameterizations of the Goldstone matrix field, as well as by comparing to the known leading log coefficients of the two quantities. A small numerical study of the quark mass dependence is performed, and for a physical quark mass there is good agreement with lower order results.

引用

页数：17

共 22 条

[1] Two-point functions at two loops in three flavour chiral perturbation theory [J].

Amorós, G ;

Bijnens, J ;

Talavera, P .

NUCLEAR PHYSICS B, 2000, 568 (1-2) :319-363

[2] Review of lattice results concerning low-energy particle physics [J].

Aoki, S. ;

Aoki, Y. ;

Becirevic, D. ;

Bernard, C. ;

Blum, T. ;

Colangelo, G. ;

Della Morte, M. ;

Dimopoulos, P. ;

Duerr, S. ;

Fukaya, H. ;

Golterman, M. ;

Gottlieb, Steven ;

Hashimoto, S. ;

Heller, U. M. ;

Horsley, R. ;

Juttner, A. ;

Kaneko, T. ;

Lellouch, L. ;

Leutwyler, H. ;

Lin, C. -J. D. ;

Lubicz, V. ;

Lunghi, E. ;

Mawhinney, R. ;

Onogi, T. ;

Pena, C. ;

Sachrajda, C. T. ;

Sharpe, S. R. ;

Simula, S. ;

Sommer, R. ;

Vladikas, A. ;

Wenger, U. ;

Wittig, H. .

EUROPEAN PHYSICAL JOURNAL C, 2017, 77 (02)

[3]

Bijnens J, 1998, NUCL PHYS B, V517, P639

[4] Renormalization of chiral perturbation theory to order p6 [J].

Bijnens, J ;

Colangelo, G ;

Ecker, G .

ANNALS OF PHYSICS, 2000, 280 (01) :100-139

[5] Elastic pi pi scattering to two loops [J].

Bijnens, J ;

Colangelo, G ;

Ecker, G ;

Gasser, J ;

Sainio, ME .

PHYSICS LETTERS B, 1996, 374 (1-3) :210-216

[6] Pion-pion scattering at low energy [J].

Bijnens, J ;

Colangelo, G ;

Ecker, G ;

Gasser, J ;

Sainio, ME .

NUCLEAR PHYSICS B, 1997, 508 (1-2) :263-310

[7]

Bijnens J, 1999, J HIGH ENERGY PHYS

[8] Vector formfactors in hard pion Chiral Perturbation Theory [J].

Bijnens, Johan ;

Jemos, Ilaria .

NUCLEAR PHYSICS B, 2011, 846 (02) :145-166

[9] The massive O(N) non-linear sigma model at high orders [J].

Bijnens, Johan ;

Carloni, Lisa .

NUCLEAR PHYSICS B, 2011, 843 (01) :55-83

[10] Leading logarithms in the massive O(N) nonlinear sigma model [J].

Bijnens, Johan ;

Carloni, Lisa .

NUCLEAR PHYSICS B, 2010, 827 (1-2) :237-255

← 1 2 3 →