The pion vector form factor from lattice QCD and NNLO chiral perturbation theory

Abstract 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 0.05 – 0.08 fm and pion masses between 280 and 630 MeV at...
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Autor*in:	Brandt, Bastian B. [verfasserIn] Jüttner, Andreas Wittig, Hartmut

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2013

Schlagwörter:	Lattice QCD Nonperturbative Effects Chiral Lagrangians

Anmerkung:	© SISSA, Trieste, Italy 2013

Übergeordnetes Werk:	Enthalten in: Journal of high energy physics - Berlin : Springer, 1997, 2013(2013), 11 vom: 05. Nov.
Übergeordnetes Werk:	volume:2013 ; year:2013 ; number:11 ; day:05 ; month:11

Links:	Volltext

DOI / URN:	10.1007/JHEP11(2013)034

Katalog-ID:	SPR03043260X

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allfields	10.1007/JHEP11(2013)034 doi (DE-627)SPR03043260X (SPR)JHEP11(2013)034-e DE-627 ger DE-627 rakwb eng Brandt, Bastian B. verfasserin aut The pion vector form factor from lattice QCD and NNLO chiral perturbation theory 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © SISSA, Trieste, Italy 2013 Abstract 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 0.05 – 0.08 fm and pion masses between 280 and 630 MeV at mπL ≥ 4. Using partially twisted boundary conditions and stochastic estimators, we obtain a dense set of precise data points for the form factor at very small momentum transfers, allowing for a model-independent extraction of the charge radius. Chiral Perturbation Theory (ChPT) augmented by terms which model lattice artefacts is then compared to the data. At next-to-leading order the effective theory fails to produce a consistent description of the full set of pion observables but describes the data well when only the decay constant and mass are considered. By contrast, using the next-to-next-to-leading order expressions to perform global fits result in a consistent description of all data. We obtain $ \left\langle {r_{\pi}^2} \right\rangle =0.481\left( {33} \right)\left( {13} \right) $ $ fm^{2} $ as our final result for the charge radius at the physical point. Our calculation also yields estimates for the pion decay constant in the chiral limit, Fπ/F = 1.080(16)(6), the quark condensate, $ \sum {\frac{{{1 \left/ {3} \right.}}}{\mathrm{MS}}\left( {2\;\mathrm{GeV}} \right)} =261\left( {13} \right)(1) $ MeV and several low-energy constants of SU(2) ChPT. Lattice QCD (dpeaa)DE-He213 Nonperturbative Effects (dpeaa)DE-He213 Chiral Lagrangians (dpeaa)DE-He213 Jüttner, Andreas aut Wittig, Hartmut aut Enthalten in Journal of high energy physics Berlin : Springer, 1997 2013(2013), 11 vom: 05. Nov. (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2013 year:2013 number:11 day:05 month:11 https://dx.doi.org/10.1007/JHEP11(2013)034 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_40 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_161 GBV_ILN_293 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2064 GBV_ILN_2068 GBV_ILN_2106 GBV_ILN_2108 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4338 AR 2013 2013 11 05 11
spelling	10.1007/JHEP11(2013)034 doi (DE-627)SPR03043260X (SPR)JHEP11(2013)034-e DE-627 ger DE-627 rakwb eng Brandt, Bastian B. verfasserin aut The pion vector form factor from lattice QCD and NNLO chiral perturbation theory 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © SISSA, Trieste, Italy 2013 Abstract 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 0.05 – 0.08 fm and pion masses between 280 and 630 MeV at mπL ≥ 4. Using partially twisted boundary conditions and stochastic estimators, we obtain a dense set of precise data points for the form factor at very small momentum transfers, allowing for a model-independent extraction of the charge radius. Chiral Perturbation Theory (ChPT) augmented by terms which model lattice artefacts is then compared to the data. At next-to-leading order the effective theory fails to produce a consistent description of the full set of pion observables but describes the data well when only the decay constant and mass are considered. By contrast, using the next-to-next-to-leading order expressions to perform global fits result in a consistent description of all data. We obtain $ \left\langle {r_{\pi}^2} \right\rangle =0.481\left( {33} \right)\left( {13} \right) $ $ fm^{2} $ as our final result for the charge radius at the physical point. Our calculation also yields estimates for the pion decay constant in the chiral limit, Fπ/F = 1.080(16)(6), the quark condensate, $ \sum {\frac{{{1 \left/ {3} \right.}}}{\mathrm{MS}}\left( {2\;\mathrm{GeV}} \right)} =261\left( {13} \right)(1) $ MeV and several low-energy constants of SU(2) ChPT. Lattice QCD (dpeaa)DE-He213 Nonperturbative Effects (dpeaa)DE-He213 Chiral Lagrangians (dpeaa)DE-He213 Jüttner, Andreas aut Wittig, Hartmut aut Enthalten in Journal of high energy physics Berlin : Springer, 1997 2013(2013), 11 vom: 05. Nov. (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2013 year:2013 number:11 day:05 month:11 https://dx.doi.org/10.1007/JHEP11(2013)034 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_40 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_161 GBV_ILN_293 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2064 GBV_ILN_2068 GBV_ILN_2106 GBV_ILN_2108 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4338 AR 2013 2013 11 05 11
allfields_unstemmed	10.1007/JHEP11(2013)034 doi (DE-627)SPR03043260X (SPR)JHEP11(2013)034-e DE-627 ger DE-627 rakwb eng Brandt, Bastian B. verfasserin aut The pion vector form factor from lattice QCD and NNLO chiral perturbation theory 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © SISSA, Trieste, Italy 2013 Abstract 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 0.05 – 0.08 fm and pion masses between 280 and 630 MeV at mπL ≥ 4. Using partially twisted boundary conditions and stochastic estimators, we obtain a dense set of precise data points for the form factor at very small momentum transfers, allowing for a model-independent extraction of the charge radius. Chiral Perturbation Theory (ChPT) augmented by terms which model lattice artefacts is then compared to the data. At next-to-leading order the effective theory fails to produce a consistent description of the full set of pion observables but describes the data well when only the decay constant and mass are considered. By contrast, using the next-to-next-to-leading order expressions to perform global fits result in a consistent description of all data. We obtain $ \left\langle {r_{\pi}^2} \right\rangle =0.481\left( {33} \right)\left( {13} \right) $ $ fm^{2} $ as our final result for the charge radius at the physical point. Our calculation also yields estimates for the pion decay constant in the chiral limit, Fπ/F = 1.080(16)(6), the quark condensate, $ \sum {\frac{{{1 \left/ {3} \right.}}}{\mathrm{MS}}\left( {2\;\mathrm{GeV}} \right)} =261\left( {13} \right)(1) $ MeV and several low-energy constants of SU(2) ChPT. Lattice QCD (dpeaa)DE-He213 Nonperturbative Effects (dpeaa)DE-He213 Chiral Lagrangians (dpeaa)DE-He213 Jüttner, Andreas aut Wittig, Hartmut aut Enthalten in Journal of high energy physics Berlin : Springer, 1997 2013(2013), 11 vom: 05. Nov. (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2013 year:2013 number:11 day:05 month:11 https://dx.doi.org/10.1007/JHEP11(2013)034 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_40 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_161 GBV_ILN_293 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2064 GBV_ILN_2068 GBV_ILN_2106 GBV_ILN_2108 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4338 AR 2013 2013 11 05 11
allfieldsGer	10.1007/JHEP11(2013)034 doi (DE-627)SPR03043260X (SPR)JHEP11(2013)034-e DE-627 ger DE-627 rakwb eng Brandt, Bastian B. verfasserin aut The pion vector form factor from lattice QCD and NNLO chiral perturbation theory 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © SISSA, Trieste, Italy 2013 Abstract 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 0.05 – 0.08 fm and pion masses between 280 and 630 MeV at mπL ≥ 4. Using partially twisted boundary conditions and stochastic estimators, we obtain a dense set of precise data points for the form factor at very small momentum transfers, allowing for a model-independent extraction of the charge radius. Chiral Perturbation Theory (ChPT) augmented by terms which model lattice artefacts is then compared to the data. At next-to-leading order the effective theory fails to produce a consistent description of the full set of pion observables but describes the data well when only the decay constant and mass are considered. By contrast, using the next-to-next-to-leading order expressions to perform global fits result in a consistent description of all data. We obtain $ \left\langle {r_{\pi}^2} \right\rangle =0.481\left( {33} \right)\left( {13} \right) $ $ fm^{2} $ as our final result for the charge radius at the physical point. Our calculation also yields estimates for the pion decay constant in the chiral limit, Fπ/F = 1.080(16)(6), the quark condensate, $ \sum {\frac{{{1 \left/ {3} \right.}}}{\mathrm{MS}}\left( {2\;\mathrm{GeV}} \right)} =261\left( {13} \right)(1) $ MeV and several low-energy constants of SU(2) ChPT. Lattice QCD (dpeaa)DE-He213 Nonperturbative Effects (dpeaa)DE-He213 Chiral Lagrangians (dpeaa)DE-He213 Jüttner, Andreas aut Wittig, Hartmut aut Enthalten in Journal of high energy physics Berlin : Springer, 1997 2013(2013), 11 vom: 05. Nov. (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2013 year:2013 number:11 day:05 month:11 https://dx.doi.org/10.1007/JHEP11(2013)034 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_40 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_161 GBV_ILN_293 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2064 GBV_ILN_2068 GBV_ILN_2106 GBV_ILN_2108 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4338 AR 2013 2013 11 05 11
allfieldsSound	10.1007/JHEP11(2013)034 doi (DE-627)SPR03043260X (SPR)JHEP11(2013)034-e DE-627 ger DE-627 rakwb eng Brandt, Bastian B. verfasserin aut The pion vector form factor from lattice QCD and NNLO chiral perturbation theory 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © SISSA, Trieste, Italy 2013 Abstract 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 0.05 – 0.08 fm and pion masses between 280 and 630 MeV at mπL ≥ 4. Using partially twisted boundary conditions and stochastic estimators, we obtain a dense set of precise data points for the form factor at very small momentum transfers, allowing for a model-independent extraction of the charge radius. Chiral Perturbation Theory (ChPT) augmented by terms which model lattice artefacts is then compared to the data. At next-to-leading order the effective theory fails to produce a consistent description of the full set of pion observables but describes the data well when only the decay constant and mass are considered. By contrast, using the next-to-next-to-leading order expressions to perform global fits result in a consistent description of all data. We obtain $ \left\langle {r_{\pi}^2} \right\rangle =0.481\left( {33} \right)\left( {13} \right) $ $ fm^{2} $ as our final result for the charge radius at the physical point. Our calculation also yields estimates for the pion decay constant in the chiral limit, Fπ/F = 1.080(16)(6), the quark condensate, $ \sum {\frac{{{1 \left/ {3} \right.}}}{\mathrm{MS}}\left( {2\;\mathrm{GeV}} \right)} =261\left( {13} \right)(1) $ MeV and several low-energy constants of SU(2) ChPT. Lattice QCD (dpeaa)DE-He213 Nonperturbative Effects (dpeaa)DE-He213 Chiral Lagrangians (dpeaa)DE-He213 Jüttner, Andreas aut Wittig, Hartmut aut Enthalten in Journal of high energy physics Berlin : Springer, 1997 2013(2013), 11 vom: 05. Nov. (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2013 year:2013 number:11 day:05 month:11 https://dx.doi.org/10.1007/JHEP11(2013)034 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_40 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_161 GBV_ILN_293 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2064 GBV_ILN_2068 GBV_ILN_2106 GBV_ILN_2108 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4338 AR 2013 2013 11 05 11
language	English
source	Enthalten in Journal of high energy physics 2013(2013), 11 vom: 05. Nov. volume:2013 year:2013 number:11 day:05 month:11
sourceStr	Enthalten in Journal of high energy physics 2013(2013), 11 vom: 05. Nov. volume:2013 year:2013 number:11 day:05 month:11
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authorswithroles_txt_mv	Brandt, Bastian B. @@aut@@ Jüttner, Andreas @@aut@@ Wittig, Hartmut @@aut@@
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author	Brandt, Bastian B.
spellingShingle	Brandt, Bastian B. misc Lattice QCD misc Nonperturbative Effects misc Chiral Lagrangians The pion vector form factor from lattice QCD and NNLO chiral perturbation theory
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topic_title	The pion vector form factor from lattice QCD and NNLO chiral perturbation theory Lattice QCD (dpeaa)DE-He213 Nonperturbative Effects (dpeaa)DE-He213 Chiral Lagrangians (dpeaa)DE-He213
topic	misc Lattice QCD misc Nonperturbative Effects misc Chiral Lagrangians
topic_unstemmed	misc Lattice QCD misc Nonperturbative Effects misc Chiral Lagrangians
topic_browse	misc Lattice QCD misc Nonperturbative Effects misc Chiral Lagrangians
format_facet	Elektronische Aufsätze Aufsätze Elektronische Ressource
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title	The pion vector form factor from lattice QCD and NNLO chiral perturbation theory
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title_full	The pion vector form factor from lattice QCD and NNLO chiral perturbation theory
author_sort	Brandt, Bastian B.
journal	Journal of high energy physics
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author_browse	Brandt, Bastian B. Jüttner, Andreas Wittig, Hartmut
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author-letter	Brandt, Bastian B.
doi_str_mv	10.1007/JHEP11(2013)034
title_sort	pion vector form factor from lattice qcd and nnlo chiral perturbation theory
title_auth	The pion vector form factor from lattice QCD and NNLO chiral perturbation theory
abstract	Abstract 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 0.05 – 0.08 fm and pion masses between 280 and 630 MeV at mπL ≥ 4. Using partially twisted boundary conditions and stochastic estimators, we obtain a dense set of precise data points for the form factor at very small momentum transfers, allowing for a model-independent extraction of the charge radius. Chiral Perturbation Theory (ChPT) augmented by terms which model lattice artefacts is then compared to the data. At next-to-leading order the effective theory fails to produce a consistent description of the full set of pion observables but describes the data well when only the decay constant and mass are considered. By contrast, using the next-to-next-to-leading order expressions to perform global fits result in a consistent description of all data. We obtain $ \left\langle {r_{\pi}^2} \right\rangle =0.481\left( {33} \right)\left( {13} \right) $ $ fm^{2} $ as our final result for the charge radius at the physical point. Our calculation also yields estimates for the pion decay constant in the chiral limit, Fπ/F = 1.080(16)(6), the quark condensate, $ \sum {\frac{{{1 \left/ {3} \right.}}}{\mathrm{MS}}\left( {2\;\mathrm{GeV}} \right)} =261\left( {13} \right)(1) $ MeV and several low-energy constants of SU(2) ChPT. © SISSA, Trieste, Italy 2013
abstractGer	Abstract 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 0.05 – 0.08 fm and pion masses between 280 and 630 MeV at mπL ≥ 4. Using partially twisted boundary conditions and stochastic estimators, we obtain a dense set of precise data points for the form factor at very small momentum transfers, allowing for a model-independent extraction of the charge radius. Chiral Perturbation Theory (ChPT) augmented by terms which model lattice artefacts is then compared to the data. At next-to-leading order the effective theory fails to produce a consistent description of the full set of pion observables but describes the data well when only the decay constant and mass are considered. By contrast, using the next-to-next-to-leading order expressions to perform global fits result in a consistent description of all data. We obtain $ \left\langle {r_{\pi}^2} \right\rangle =0.481\left( {33} \right)\left( {13} \right) $ $ fm^{2} $ as our final result for the charge radius at the physical point. Our calculation also yields estimates for the pion decay constant in the chiral limit, Fπ/F = 1.080(16)(6), the quark condensate, $ \sum {\frac{{{1 \left/ {3} \right.}}}{\mathrm{MS}}\left( {2\;\mathrm{GeV}} \right)} =261\left( {13} \right)(1) $ MeV and several low-energy constants of SU(2) ChPT. © SISSA, Trieste, Italy 2013
abstract_unstemmed	Abstract 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 0.05 – 0.08 fm and pion masses between 280 and 630 MeV at mπL ≥ 4. Using partially twisted boundary conditions and stochastic estimators, we obtain a dense set of precise data points for the form factor at very small momentum transfers, allowing for a model-independent extraction of the charge radius. Chiral Perturbation Theory (ChPT) augmented by terms which model lattice artefacts is then compared to the data. At next-to-leading order the effective theory fails to produce a consistent description of the full set of pion observables but describes the data well when only the decay constant and mass are considered. By contrast, using the next-to-next-to-leading order expressions to perform global fits result in a consistent description of all data. We obtain $ \left\langle {r_{\pi}^2} \right\rangle =0.481\left( {33} \right)\left( {13} \right) $ $ fm^{2} $ as our final result for the charge radius at the physical point. Our calculation also yields estimates for the pion decay constant in the chiral limit, Fπ/F = 1.080(16)(6), the quark condensate, $ \sum {\frac{{{1 \left/ {3} \right.}}}{\mathrm{MS}}\left( {2\;\mathrm{GeV}} \right)} =261\left( {13} \right)(1) $ MeV and several low-energy constants of SU(2) ChPT. © SISSA, Trieste, Italy 2013
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title_short	The pion vector form factor from lattice QCD and NNLO chiral perturbation theory
url	https://dx.doi.org/10.1007/JHEP11(2013)034
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