Yutaro Akahoshi, S. Aoki, T. Aoyama, T. Miyamoto, K. Sasaki
{"title":"Study of the pion-pion scatterings with a combination of all-to-all propagators and the HAL QCD method","authors":"Yutaro Akahoshi, S. Aoki, T. Aoyama, T. Miyamoto, K. Sasaki","doi":"10.22323/1.363.0058","DOIUrl":"https://doi.org/10.22323/1.363.0058","url":null,"abstract":"In this paper, we report recent developments of the HAL QCD method for two hadron systems which contain quark annihilation processes using all-to-all quark propagators. We employ the hybrid method for all-to-all propagators, which combines a low-mode spectral decomposition of the quark propagator and stochastic estimators for remaining high modes, to evaluate the HAL QCD potentials for the first time. Using this method, we investigate the $I= 1,2$ $pi pi$ scatterings at $m_{pi} approx 870$ MeV. In the $I=2$ study, we study how statistical fluctuations of the HAL QCD potentials are increased due to stochastic estimators in the hybrid method, compared with the conventional one without them. We find that we can reduce statistical fluctuations by dilutions of stochastic noises in order to obtain sufficiently precise results, which turn out to be consistent with conventional results without all-to-all propagators. In the $I=1$ $pi pi$ case, which contains quark annihilation processes, we find that statistical fluctuations are further enhanced due to noise contaminations in annihilation processes. We, however, confirm that we can also reduce such statistical fluctuations to obtain the potential with a reasonable precision as long as we further increase a degree of dilutions at a price of large numerical costs and take an appropriate scheme for the potential.","PeriodicalId":147987,"journal":{"name":"Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019)","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122940965","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Study of thermal SU(3) supersymmetric Yang-Mills theory and near-conformal theories from the gradient flow","authors":"G. Bergner, C. L'opez, S. Piemonte","doi":"10.22323/1.363.0235","DOIUrl":"https://doi.org/10.22323/1.363.0235","url":null,"abstract":"We compute the renormalization group flow of the mass anomalous dimension in adjoint QCD with $N_{f}=1$, $3/2$, and 2 Dirac fermions, using the gradient flow. Preliminary results are in agreement with at least a near-conformal scenario in all cases. At the largest flavor numbers we obtain the strongest indication for an IR conformal fixed point scenario. Moreover, we provide results for the thermal phase transitions in SU(3) supersymmetric Yang-Mills theory. We find hints for a connection between chiral and center symmetries in terms of a single first order phase transition where chiral symmetry is restored and center symmetry gets broken.","PeriodicalId":147987,"journal":{"name":"Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019)","volume":"29 10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116353091","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Partial deconfinement in gauge theories","authors":"M. Hanada, Goro Ishiki, Hiromasa Watanabe","doi":"10.22323/1.363.0055","DOIUrl":"https://doi.org/10.22323/1.363.0055","url":null,"abstract":"We provide the evidence for the existence of partially deconfined phase in large-$N$ gauge theory. In this phase, the SU($M$) subgroup of SU($N$) gauge group deconfines, where $frac{M}{N}$ changes continuously from zero (confined phase) to one (deconfined phase). The partially deconfined phase may exist in real QCD with $N=3$.","PeriodicalId":147987,"journal":{"name":"Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019)","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124274699","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
B. Svetitsky, V. Ayyar, T. DeGrand, M. Golterman, D. Hackett, W. Jay, E. Neil, Y. Shamir
{"title":"Towards a composite Higgs and a partially composite top quark","authors":"B. Svetitsky, V. Ayyar, T. DeGrand, M. Golterman, D. Hackett, W. Jay, E. Neil, Y. Shamir","doi":"10.22323/1.363.0241","DOIUrl":"https://doi.org/10.22323/1.363.0241","url":null,"abstract":"We have calculated quantities of interest to a theory of compositeness. The lattice model, approximating the candidate theory, is the SU(4) gauge theory coupled to fermions in two color representations. For the composite Higgs, a current correlator gives one of the ingredients of the effective Higgs potential. For the partially composite top quark, we have hyperbaryon matrix elements that govern mixing of the fundamental quark with its heavy composite partner. The matrix elements turn out to be so small that the theory is disfavored as a source of a realistic top mass.","PeriodicalId":147987,"journal":{"name":"Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127177545","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"I=3/2Nπ scattering and the ∆(1232) resonance on $N_f=2+1$ CLS ensembles using the stochastic LapH method","authors":"C. Andersen, J. Bulava, Ben Horz, C. Morningstar","doi":"10.22323/1.363.0039","DOIUrl":"https://doi.org/10.22323/1.363.0039","url":null,"abstract":"Calculations of the elastic $I=frac{3}{2}$ nucleon-pion scattering phase shifts on two lattice QCD ensembles with $m_pi=200mathrm{MeV}$ and $280mathrm{MeV}$ are presented. The ensembles both employ $N_mathrm{f} = 2+1$ Wilson clover fermions. We determine the $Delta(1232)$ resonance parameters from a finite volume scattering analysis. In one study the single partial wave simplification is employed to compute the $p$-wave amplitude while in the other we treat the partial wave mixing between $s$- and $p$-wave contributions. Fitting our data to a Breit-Wigner resonance model we find $m_Delta/m_pi = 7.13(9)$ and $4.75(5)$ on the two ensembles respectively, showing that for a lighter quark mass the resonance mass moves from near the $Npi$ threshold to near the $Npipi$ threshold, in agreement with experiment.","PeriodicalId":147987,"journal":{"name":"Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019)","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115933219","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
D. Clarke, O. Kaczmarek, F. Karsch, Anirban Lahiri
{"title":"Polyakov loop susceptibility and correlators in the chiral limit","authors":"D. Clarke, O. Kaczmarek, F. Karsch, Anirban Lahiri","doi":"10.22323/1.363.0194","DOIUrl":"https://doi.org/10.22323/1.363.0194","url":null,"abstract":"In quenched QCD the Polyakov loop is an order parameter of the deconfinement transition, but with decreasing quark mass, the peak in the Polyakov loop susceptibility becomes less pronounced, and it loses its interpretation as an indicator for deconfinement. For this $N_f=2+1$ HISQ study, we fix the strange quark mass $m_s$ at its physical value and investigate the dependence of the Polyakov loop on the light quark mass $m_l$ in the range $m_s/m_l=27-160$, following $m_l$ toward the chiral limit. In particular we will look how the inflection point and susceptibility behave as we decrease $m_l$, to see whether one finds any indication of a crossover, and therefore whether the Polyakov loop is sensitive to the chiral phase transition. Preliminary results show no signal of a crossover from the real part of the Polyakov loop in the vicinity of the chiral crossover. Closely related is an investigation of Polyakov loop correlations and the Debye mass in this limit. Preliminary results suggest little or no dependence on $m_l$.","PeriodicalId":147987,"journal":{"name":"Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019)","volume":"53 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-11-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131082715","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Nils Asmussen, En-Hung Chao, A. G'erardin, J. Green, R. Hudspith, H. Meyer, A. Nyffeler
{"title":"Developments in the position-space approach to the HLbL contribution to the muon $g-2$ on the lattice.","authors":"Nils Asmussen, En-Hung Chao, A. G'erardin, J. Green, R. Hudspith, H. Meyer, A. Nyffeler","doi":"10.22323/1.363.0195","DOIUrl":"https://doi.org/10.22323/1.363.0195","url":null,"abstract":"The measurement of the anomalous magnetic moment of the muon and its prediction allow for a high-precision test of the Standard Model (SM). In this proceedings article we present ongoing work combining lattice QCD and continuum QED in order to determine an important SM contribution to the magnetic moment, the hadronic light-by-light contribution. We compute the quark-connected contribution in the Mainz position-space approach and investigate the long-distance part of our data using calculations of the $pi^0$-pole and charged pion loop contributions.","PeriodicalId":147987,"journal":{"name":"Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019)","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125934819","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A. G'erardin, M. Cè, G. Hippel, Ben Horz, H. Meyer, D. Mohler, K. Ottnad, J. Wilhelm, H. Wittig
{"title":"The leading hadronic vacuum polarization contribution to the muon anomalous magnetic moment using $N_f = 2+1$ O(a) improved Wilson quarks","authors":"A. G'erardin, M. Cè, G. Hippel, Ben Horz, H. Meyer, D. Mohler, K. Ottnad, J. Wilhelm, H. Wittig","doi":"10.22323/1.363.0110","DOIUrl":"https://doi.org/10.22323/1.363.0110","url":null,"abstract":"We present a lattice calculation of the leading hadronic contribution to the anomalous magnetic moment of the muon. This work is based on a subset of the CLS ensembles with $N_f = 2+1$ dynamical quarks and a quenched charm quark. Noise reduction techniques are used to improve significantly the statistical precision of the dominant light quark contribution. The main source of systematic error comes from finite size effects which are estimated using the formalism described in Ref. [7] and based on our knowledge of the timelike pion form factor. The strange and charm quark contributions are under control and an estimate of the quark-disconnected contribution is included. Isospin breaking effects will be studied in a future publication but are included in the systematic error using an estimate based on published lattice results. Our final result, $a_mu^{rm hvp} = (720.0pm 12.4 pm 6.8)times 10^{-10}$, has a precision of about 2%.","PeriodicalId":147987,"journal":{"name":"Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019)","volume":"37 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127007694","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Leading isospin breaking effects in the hadronic vacuum polarisation with open boundaries","authors":"A. Risch, H. Wittig","doi":"10.22323/1.363.0296","DOIUrl":"https://doi.org/10.22323/1.363.0296","url":null,"abstract":"We discuss leading isospin breaking effects in the hadronic vacuum polarisation required for the investigation of the hadronic contribution to $(g-2)_{mu}$. The calculation proceeds by expanding the relevant correlation functions around the isosymmetric limit. Isosymmetric observables are evaluated on gauge ensembles with $N_{f}=2+1$, $O(a)$ improved Wilson fermions and open boundary conditions generated by the CLS effort. Particular emphasis is placed on the relevant quark-disconnected diagrams required for a complete treatment of leading isospin breaking effects in the valence quark sector. We provide a detailed discussion of the renormalisation of the vector current in QCD+QED taking operator mixing into account.","PeriodicalId":147987,"journal":{"name":"Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-11-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129255953","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Laurence J. Cooper, M. Wingate, C. Davies, J. Harrison, J. Komijani
{"title":"$B_c to B_{s(d)}$ form factors","authors":"Laurence J. Cooper, M. Wingate, C. Davies, J. Harrison, J. Komijani","doi":"10.22323/1.363.0103","DOIUrl":"https://doi.org/10.22323/1.363.0103","url":null,"abstract":"We present results of the first lattice QCD calculations of $B_c to B_s$ and $B_c to B_d$ weak matrix elements. Results are derived from correlation functions computed on MILC Collaboration gauge configurations with lattice spacings between $0.12$ [fm] and $0.06$ [fm] including 2+1+1 flavours of dynamical sea quarks in the Highly Improved Staggered Quark (HISQ) formalism. Form factors across the entire physical $q^2$ range are then extracted and extrapolated to the physical-continuum limit. Two different formalisms are employed for the bottom quark: non-relativistic QCD (NRQCD) and heavy-HISQ. Checking agreement between these two approaches is an important test of our strategies for heavy quarks on the lattice.","PeriodicalId":147987,"journal":{"name":"Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019)","volume":"310 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-11-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122770278","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}