Yi Zhang, Wei Cheng, Jia-Wei Zhang, Tao Zhong, Hai-Bing Fu, Li-Sheng Geng
{"title":"B(s)→s (a0(1450), K0*(1430), f0(1500)))螺旋形因子符合QCD光锥求和规则","authors":"Yi Zhang, Wei Cheng, Jia-Wei Zhang, Tao Zhong, Hai-Bing Fu, Li-Sheng Geng","doi":"10.1103/27kn-4xz2","DOIUrl":null,"url":null,"abstract":"In this paper, we investigate the helicity form factors (HFFs) of the B</a:mi>(</a:mo>s</a:mi>)</a:mo></a:mrow></a:msub></a:math>-meson decay into a scalar meson with a mass larger than 1 GeV, i.e., <e:math xmlns:e=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><e:mi>B</e:mi><e:mo stretchy=\"false\">→</e:mo><e:msub><e:mi>a</e:mi><e:mn>0</e:mn></e:msub><e:mo stretchy=\"false\">(</e:mo><e:mn>1450</e:mn><e:mo stretchy=\"false\">)</e:mo></e:math>, <j:math xmlns:j=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><j:msub><j:mi>B</j:mi><j:mrow><j:mo stretchy=\"false\">(</j:mo><j:mi>s</j:mi><j:mo stretchy=\"false\">)</j:mo></j:mrow></j:msub><j:mo stretchy=\"false\">→</j:mo><j:msubsup><j:mi>K</j:mi><j:mn>0</j:mn><j:mo>*</j:mo></j:msubsup><j:mo stretchy=\"false\">(</j:mo><j:mn>1430</j:mn><j:mo stretchy=\"false\">)</j:mo></j:math>, and <q:math xmlns:q=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><q:msub><q:mi>B</q:mi><q:mi>s</q:mi></q:msub><q:mo stretchy=\"false\">→</q:mo><q:msub><q:mi>f</q:mi><q:mn>0</q:mn></q:msub><q:mo stretchy=\"false\">(</q:mo><q:mn>1500</q:mn><q:mo stretchy=\"false\">)</q:mo></q:math> by using the light-cone sum rules approach. We take the standard currents for correlation functions. To enhance the precision of our calculations, we incorporate the next-to-leading order (NLO) corrections and retain the scalar meson twist-3 light-cone distribution amplitudes. Furthermore, we extend the HFFs to the entire physical <v:math xmlns:v=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><v:msup><v:mi>q</v:mi><v:mn>2</v:mn></v:msup></v:math> region employing a simplified <x:math xmlns:x=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><x:mi>z</x:mi></x:math>-series expansion. At the point of <z:math xmlns:z=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><z:mrow><z:msup><z:mrow><z:mi>q</z:mi></z:mrow><z:mn>2</z:mn></z:msup><z:mo>=</z:mo><z:mn>1</z:mn><z:mtext> </z:mtext><z:mtext> </z:mtext><z:msup><z:mrow><z:mi>GeV</z:mi></z:mrow><z:mn>2</z:mn></z:msup></z:mrow></z:math>, all NLO contributions to the HFFs are negative, with the maximum contribution around 25%. Then, as applications of these HFFs, we analyze the differential decay widths, branching ratios, and lepton polarization asymmetries for the semileptonic <bb:math xmlns:bb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><bb:msub><bb:mi>B</bb:mi><bb:mrow><bb:mo stretchy=\"false\">(</bb:mo><bb:mi>s</bb:mi><bb:mo stretchy=\"false\">)</bb:mo></bb:mrow></bb:msub><bb:mo stretchy=\"false\">→</bb:mo><bb:mi>S</bb:mi><bb:mo>ℓ</bb:mo><bb:msub><bb:mover accent=\"true\"><bb:mi>ν</bb:mi><bb:mo stretchy=\"false\">¯</bb:mo></bb:mover><bb:mo>ℓ</bb:mo></bb:msub></bb:math>, FCNC <ib:math xmlns:ib=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><ib:msub><ib:mi>B</ib:mi><ib:mrow><ib:mo stretchy=\"false\">(</ib:mo><ib:mi>s</ib:mi><ib:mo stretchy=\"false\">)</ib:mo></ib:mrow></ib:msub><ib:mo stretchy=\"false\">→</ib:mo><ib:mi>S</ib:mi><ib:mo>ℓ</ib:mo><ib:mover accent=\"true\"><ib:mo>ℓ</ib:mo><ib:mo stretchy=\"false\">¯</ib:mo></ib:mover></ib:math> and rare <pb:math xmlns:pb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><pb:msub><pb:mi>B</pb:mi><pb:mrow><pb:mo stretchy=\"false\">(</pb:mo><pb:mi>s</pb:mi><pb:mo stretchy=\"false\">)</pb:mo></pb:mrow></pb:msub><pb:mo stretchy=\"false\">→</pb:mo><pb:mi>S</pb:mi><pb:mi>ν</pb:mi><pb:mover accent=\"true\"><pb:mi>ν</pb:mi><pb:mo stretchy=\"false\">¯</pb:mo></pb:mover></pb:math> decays. Our results are consistent with existing studies within uncertainties. The current data still suffer from large uncertainties and need to be measured more precisely, which can lead to a better understanding of the fundamental properties of light scalar mesons.","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"5 1","pages":""},"PeriodicalIF":5.3000,"publicationDate":"2025-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"B(s)→S(a0(1450), K0*(1430), f0(1500)) helicity form factors within QCD light-cone sum rules\",\"authors\":\"Yi Zhang, Wei Cheng, Jia-Wei Zhang, Tao Zhong, Hai-Bing Fu, Li-Sheng Geng\",\"doi\":\"10.1103/27kn-4xz2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we investigate the helicity form factors (HFFs) of the B</a:mi>(</a:mo>s</a:mi>)</a:mo></a:mrow></a:msub></a:math>-meson decay into a scalar meson with a mass larger than 1 GeV, i.e., <e:math xmlns:e=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><e:mi>B</e:mi><e:mo stretchy=\\\"false\\\">→</e:mo><e:msub><e:mi>a</e:mi><e:mn>0</e:mn></e:msub><e:mo stretchy=\\\"false\\\">(</e:mo><e:mn>1450</e:mn><e:mo stretchy=\\\"false\\\">)</e:mo></e:math>, <j:math xmlns:j=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><j:msub><j:mi>B</j:mi><j:mrow><j:mo stretchy=\\\"false\\\">(</j:mo><j:mi>s</j:mi><j:mo stretchy=\\\"false\\\">)</j:mo></j:mrow></j:msub><j:mo stretchy=\\\"false\\\">→</j:mo><j:msubsup><j:mi>K</j:mi><j:mn>0</j:mn><j:mo>*</j:mo></j:msubsup><j:mo stretchy=\\\"false\\\">(</j:mo><j:mn>1430</j:mn><j:mo stretchy=\\\"false\\\">)</j:mo></j:math>, and <q:math xmlns:q=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><q:msub><q:mi>B</q:mi><q:mi>s</q:mi></q:msub><q:mo stretchy=\\\"false\\\">→</q:mo><q:msub><q:mi>f</q:mi><q:mn>0</q:mn></q:msub><q:mo stretchy=\\\"false\\\">(</q:mo><q:mn>1500</q:mn><q:mo stretchy=\\\"false\\\">)</q:mo></q:math> by using the light-cone sum rules approach. We take the standard currents for correlation functions. To enhance the precision of our calculations, we incorporate the next-to-leading order (NLO) corrections and retain the scalar meson twist-3 light-cone distribution amplitudes. Furthermore, we extend the HFFs to the entire physical <v:math xmlns:v=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><v:msup><v:mi>q</v:mi><v:mn>2</v:mn></v:msup></v:math> region employing a simplified <x:math xmlns:x=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><x:mi>z</x:mi></x:math>-series expansion. At the point of <z:math xmlns:z=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><z:mrow><z:msup><z:mrow><z:mi>q</z:mi></z:mrow><z:mn>2</z:mn></z:msup><z:mo>=</z:mo><z:mn>1</z:mn><z:mtext> </z:mtext><z:mtext> </z:mtext><z:msup><z:mrow><z:mi>GeV</z:mi></z:mrow><z:mn>2</z:mn></z:msup></z:mrow></z:math>, all NLO contributions to the HFFs are negative, with the maximum contribution around 25%. Then, as applications of these HFFs, we analyze the differential decay widths, branching ratios, and lepton polarization asymmetries for the semileptonic <bb:math xmlns:bb=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><bb:msub><bb:mi>B</bb:mi><bb:mrow><bb:mo stretchy=\\\"false\\\">(</bb:mo><bb:mi>s</bb:mi><bb:mo stretchy=\\\"false\\\">)</bb:mo></bb:mrow></bb:msub><bb:mo stretchy=\\\"false\\\">→</bb:mo><bb:mi>S</bb:mi><bb:mo>ℓ</bb:mo><bb:msub><bb:mover accent=\\\"true\\\"><bb:mi>ν</bb:mi><bb:mo stretchy=\\\"false\\\">¯</bb:mo></bb:mover><bb:mo>ℓ</bb:mo></bb:msub></bb:math>, FCNC <ib:math xmlns:ib=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><ib:msub><ib:mi>B</ib:mi><ib:mrow><ib:mo stretchy=\\\"false\\\">(</ib:mo><ib:mi>s</ib:mi><ib:mo stretchy=\\\"false\\\">)</ib:mo></ib:mrow></ib:msub><ib:mo stretchy=\\\"false\\\">→</ib:mo><ib:mi>S</ib:mi><ib:mo>ℓ</ib:mo><ib:mover accent=\\\"true\\\"><ib:mo>ℓ</ib:mo><ib:mo stretchy=\\\"false\\\">¯</ib:mo></ib:mover></ib:math> and rare <pb:math xmlns:pb=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><pb:msub><pb:mi>B</pb:mi><pb:mrow><pb:mo stretchy=\\\"false\\\">(</pb:mo><pb:mi>s</pb:mi><pb:mo stretchy=\\\"false\\\">)</pb:mo></pb:mrow></pb:msub><pb:mo stretchy=\\\"false\\\">→</pb:mo><pb:mi>S</pb:mi><pb:mi>ν</pb:mi><pb:mover accent=\\\"true\\\"><pb:mi>ν</pb:mi><pb:mo stretchy=\\\"false\\\">¯</pb:mo></pb:mover></pb:math> decays. Our results are consistent with existing studies within uncertainties. The current data still suffer from large uncertainties and need to be measured more precisely, which can lead to a better understanding of the fundamental properties of light scalar mesons.\",\"PeriodicalId\":20167,\"journal\":{\"name\":\"Physical Review D\",\"volume\":\"5 1\",\"pages\":\"\"},\"PeriodicalIF\":5.3000,\"publicationDate\":\"2025-09-29\",\"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/10.1103/27kn-4xz2\",\"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/10.1103/27kn-4xz2","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}
B(s)→S(a0(1450), K0*(1430), f0(1500)) helicity form factors within QCD light-cone sum rules
In this paper, we investigate the helicity form factors (HFFs) of the B(s)-meson decay into a scalar meson with a mass larger than 1 GeV, i.e., B→a0(1450), B(s)→K0*(1430), and Bs→f0(1500) by using the light-cone sum rules approach. We take the standard currents for correlation functions. To enhance the precision of our calculations, we incorporate the next-to-leading order (NLO) corrections and retain the scalar meson twist-3 light-cone distribution amplitudes. Furthermore, we extend the HFFs to the entire physical q2 region employing a simplified z-series expansion. At the point of q2=1GeV2, all NLO contributions to the HFFs are negative, with the maximum contribution around 25%. Then, as applications of these HFFs, we analyze the differential decay widths, branching ratios, and lepton polarization asymmetries for the semileptonic B(s)→Sℓν¯ℓ, FCNC B(s)→Sℓℓ¯ and rare B(s)→Sνν¯ decays. Our results are consistent with existing studies within uncertainties. The current data still suffer from large uncertainties and need to be measured more precisely, which can lead to a better understanding of the fundamental properties of light scalar mesons.
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.