{"title":"运动功率修正深度虚拟康普顿散射到扭转六精度","authors":"V. M. Braun, Yao Ji, A. N. Manashov","doi":"10.1103/physrevd.111.076011","DOIUrl":null,"url":null,"abstract":"We calculate (</a:mo>−</a:mo>t</a:mi></a:mrow></a:msqrt>/</a:mo>Q</a:mi>)</a:mo>k</a:mi></a:msup></a:math> and <e:math xmlns:e=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><e:mo stretchy=\"false\">(</e:mo><e:mi>m</e:mi><e:mo>/</e:mo><e:mi>Q</e:mi><e:msup><e:mo stretchy=\"false\">)</e:mo><e:mi>k</e:mi></e:msup></e:math> power corrections with <i:math xmlns:i=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><i:mi>k</i:mi><i:mo>≤</i:mo><i:mn>4</i:mn></i:math>, where <k:math xmlns:k=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><k:mi>m</k:mi></k:math> is the target mass and <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><m:mi>t</m:mi></m:math> is the momentum transfer, to several key observables in deeply virtual Compton scattering (DVCS). We find that the power expansion is well convergent up to <o:math xmlns:o=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><o:mo stretchy=\"false\">|</o:mo><o:mi>t</o:mi><o:mo stretchy=\"false\">|</o:mo><o:mo>/</o:mo><o:msup><o:mi>Q</o:mi><o:mn>2</o:mn></o:msup><o:mo>≲</o:mo><o:mn>1</o:mn><o:mo>/</o:mo><o:mn>4</o:mn></o:math> for most of the observables, but is naturally organized in terms of <s:math xmlns:s=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><s:mn>1</s:mn><s:mo>/</s:mo><s:mo stretchy=\"false\">(</s:mo><s:msup><s:mi>Q</s:mi><s:mn>2</s:mn></s:msup><s:mo>+</s:mo><s:mi>t</s:mi><s:mo stretchy=\"false\">)</s:mo></s:math> rather than the nominal hard scale <w:math xmlns:w=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><w:mn>1</w:mn><w:mo>/</w:mo><w:msup><w:mi>Q</w:mi><w:mn>2</w:mn></w:msup></w:math>. We also argue that target mass corrections remain under control and do not endanger quantum chromodynamics (QCD) factorization for coherent DVCS on nuclei. These results remove an important source of uncertainties due to the frame dependence and violation of electromagnetic Ward identities in the QCD predictions for the DVCS amplitudes in the leading-twist approximation. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"183 1","pages":""},"PeriodicalIF":5.3000,"publicationDate":"2025-04-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Kinematic power corrections to deeply virtual Compton scattering to twist-six accuracy\",\"authors\":\"V. M. Braun, Yao Ji, A. N. Manashov\",\"doi\":\"10.1103/physrevd.111.076011\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We calculate (</a:mo>−</a:mo>t</a:mi></a:mrow></a:msqrt>/</a:mo>Q</a:mi>)</a:mo>k</a:mi></a:msup></a:math> and <e:math xmlns:e=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><e:mo stretchy=\\\"false\\\">(</e:mo><e:mi>m</e:mi><e:mo>/</e:mo><e:mi>Q</e:mi><e:msup><e:mo stretchy=\\\"false\\\">)</e:mo><e:mi>k</e:mi></e:msup></e:math> power corrections with <i:math xmlns:i=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><i:mi>k</i:mi><i:mo>≤</i:mo><i:mn>4</i:mn></i:math>, where <k:math xmlns:k=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><k:mi>m</k:mi></k:math> is the target mass and <m:math xmlns:m=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><m:mi>t</m:mi></m:math> is the momentum transfer, to several key observables in deeply virtual Compton scattering (DVCS). We find that the power expansion is well convergent up to <o:math xmlns:o=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><o:mo stretchy=\\\"false\\\">|</o:mo><o:mi>t</o:mi><o:mo stretchy=\\\"false\\\">|</o:mo><o:mo>/</o:mo><o:msup><o:mi>Q</o:mi><o:mn>2</o:mn></o:msup><o:mo>≲</o:mo><o:mn>1</o:mn><o:mo>/</o:mo><o:mn>4</o:mn></o:math> for most of the observables, but is naturally organized in terms of <s:math xmlns:s=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><s:mn>1</s:mn><s:mo>/</s:mo><s:mo stretchy=\\\"false\\\">(</s:mo><s:msup><s:mi>Q</s:mi><s:mn>2</s:mn></s:msup><s:mo>+</s:mo><s:mi>t</s:mi><s:mo stretchy=\\\"false\\\">)</s:mo></s:math> rather than the nominal hard scale <w:math xmlns:w=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><w:mn>1</w:mn><w:mo>/</w:mo><w:msup><w:mi>Q</w:mi><w:mn>2</w:mn></w:msup></w:math>. We also argue that target mass corrections remain under control and do not endanger quantum chromodynamics (QCD) factorization for coherent DVCS on nuclei. These results remove an important source of uncertainties due to the frame dependence and violation of electromagnetic Ward identities in the QCD predictions for the DVCS amplitudes in the leading-twist approximation. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>\",\"PeriodicalId\":20167,\"journal\":{\"name\":\"Physical Review D\",\"volume\":\"183 1\",\"pages\":\"\"},\"PeriodicalIF\":5.3000,\"publicationDate\":\"2025-04-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Physical Review D\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1103/physrevd.111.076011\",\"RegionNum\":2,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"Physics and Astronomy\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physical Review D","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1103/physrevd.111.076011","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Physics and Astronomy","Score":null,"Total":0}
Kinematic power corrections to deeply virtual Compton scattering to twist-six accuracy
We calculate (−t/Q)k and (m/Q)k power corrections with k≤4, where m is the target mass and t is the momentum transfer, to several key observables in deeply virtual Compton scattering (DVCS). We find that the power expansion is well convergent up to |t|/Q2≲1/4 for most of the observables, but is naturally organized in terms of 1/(Q2+t) rather than the nominal hard scale 1/Q2. We also argue that target mass corrections remain under control and do not endanger quantum chromodynamics (QCD) factorization for coherent DVCS on nuclei. These results remove an important source of uncertainties due to the frame dependence and violation of electromagnetic Ward identities in the QCD predictions for the DVCS amplitudes in the leading-twist approximation. Published by the American Physical Society2025
期刊介绍:
Physical Review D (PRD) is a leading journal in elementary particle physics, field theory, gravitation, and cosmology and is one of the top-cited journals in high-energy physics.
PRD covers experimental and theoretical results in all aspects of particle physics, field theory, gravitation and cosmology, including:
Particle physics experiments,
Electroweak interactions,
Strong interactions,
Lattice field theories, lattice QCD,
Beyond the standard model physics,
Phenomenological aspects of field theory, general methods,
Gravity, cosmology, cosmic rays,
Astrophysics and astroparticle physics,
General relativity,
Formal aspects of field theory, field theory in curved space,
String theory, quantum gravity, gauge/gravity duality.