scholarly journals B(s)0-mixing matrix elements from lattice QCD for the Standard Model and beyond

2016 ◽  
Vol 93 (11) ◽  
Author(s):  
A. Bazavov ◽  
C. Bernard ◽  
C. M. Bouchard ◽  
C. C. Chang ◽  
C. DeTar ◽  
...  
Keyword(s):  
Standard Model ◽  
Lattice Qcd ◽  
Matrix Elements ◽  
The Standard Model ◽  
Mixing Matrix

scholarly journals BSM Kaon Mixing at the Physical Point

2018 ◽  
Vol 175 ◽  
pp. 13010 ◽  
Author(s):  
Peter Boyle ◽  
Nicolas Garron ◽  
Julia Kettle ◽  
Ava Khamseh ◽  
Justus Tobias Tsang
Keyword(s):  
Domain Wall ◽  
Standard Model ◽  
Lattice Qcd ◽  
Pion Mass ◽  
Beyond The Standard Model ◽  
Matrix Elements ◽  
Physical Point ◽  
Gauge Action ◽  
The Standard Model ◽  
Mixing Matrix

We present a progress update on the RBC-UKQCD calculation of beyond the standard model (BSM) kaon mixing matrix elements at the physical point. Simulations are performed using 2+1 flavour domain wall lattice QCD with the Iwasaki gauge action at 3 lattice spacings and with pion masses ranging from 430 MeV to the physical pion mass.

scholarly journals Non-perturbative renormalization scheme for the C P -odd three-gluon operator

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Vincenzo Cirigliano ◽  
Emanuele Mereghetti ◽  
Peter Stoffer
Keyword(s):  
Standard Model ◽  
Lattice Qcd ◽  
Electric Dipole ◽  
Dipole Moments ◽  
Effective Field ◽  
Renormalization Scheme ◽  
Beyond The Standard Model ◽  
Matrix Elements ◽  
The Standard Model ◽  
Perturbative Renormalization

Abstract We define a regularization-independent momentum-subtraction scheme for the C P -odd three-gluon operator at dimension six. This operator appears in effective field theories for heavy physics beyond the Standard Model, describing the indirect effect of new sources of C P-violation at low energies. In a hadronic context, it induces permanent electric dipole moments. The hadronic matrix elements of the three-gluon operator are non-perturbative objects that should ideally be evaluated with lattice QCD. We define a non-perturbative renormalization scheme that can be implemented on the lattice and we compute the scheme transformation to $$ \overline{\mathrm{MS}} $$ MS ¯ at one loop. Our calculation can be used as an interface to future lattice-QCD calculations of the matrix elements of the three-gluon operator, in order to obtain theoretically robust constraints on physics beyond the Standard Model from measurements of the neutron electric dipole moment.

scholarly journals Standard Model EFTs via on-shell methods

2021 ◽  
Vol 2021 (11) ◽  
Author(s):  
Manuel Accettulli Huber ◽  
Stefano De Angelis
Keyword(s):  
Standard Model ◽  
Building Blocks ◽  
Effective Field ◽  
Tree Level ◽  
Matrix Elements ◽  
Effective Interactions ◽  
S Matrix ◽  
The Standard Model ◽  
Mass Dimension ◽  
Mixing Matrix

Abstract We present the Standard Model Effective Field Theories (SMEFT) from purely on-shell arguments. Starting from few basics assumptions such as Poincaré invariance and locality, we classify all the renormalisable and non-renormalisable interactions at lowest order in the couplings. From these building blocks, we review how locality and unitarity enforce Lie algebra structures to appear in the S-matrix elements together with relations among couplings (and hypercharges). Furthermore, we give a fully on-shell algorithm to compute any higher-point tree-level amplitude (or form factor) in generic EFTs, bypassing BCFW-like recursion relations which are known to be problematic when non-renormalisable interactions are involved. Finally, using known amplitudes techniques we compute the mixing matrix of SMEFT marginal interactions up to mass dimension 8, to linear order in the effective interactions.

A Clifford algebra-based grand unification program of gravity and the Standard Model: a review study

2014 ◽  
Vol 92 (12) ◽  
pp. 1501-1527 ◽  
Author(s):  
Carlos Castro
Keyword(s):  
Standard Model ◽  
Geometric Probability ◽  
Coupling Constants ◽  
Grand Unified Theory ◽  
Neutrino Mixing ◽  
Yang Mills ◽  
Bounded Complex ◽  
The Standard Model ◽  
Mixing Matrix ◽  
Homogeneous Domains

A Clifford Cl(5, C) unified gauge field theory formulation of conformal gravity and U(4) × U(4) × U(4) Yang–Mills in 4D, is reviewed along with its implications for the Pati–Salam (PS) group SU(4) × SU(2)L × SU(2)R, and trinification grand unified theory models of three fermion generations based on the group SU(3)C × SU(3)L × SU(3)R. We proceed with a brief review of a unification program of 4D gravity and SU(3) × SU(2) × U(1) Yang–Mills emerging from 8D pure quaternionic gravity. A realization of E8 in terms of the Cl(16) = Cl(8) ⊗ Cl(8) generators follows, as a preamble to F. Smith’s E8 and Cl(16) = Cl(8) ⊗ Cl(8) unification model in 8D. The study of chiral fermions and instanton backgrounds in CP2 and CP3 related to the problem of obtaining three fermion generations is thoroughly studied. We continue with the evaluation of the coupling constants and particle masses based on the geometry of bounded complex homogeneous domains and geometric probability theory. An analysis of neutrino masses, Cabbibo–Kobayashi–Maskawa quark-mixing matrix parameters, and neutrino-mixing matrix parameters follows. We finalize with some concluding remarks about other proposals for the unification of gravity and the Standard Model, like string, M, and F theories and noncommutative and nonassociative geometry.

scholarly journals Updated evaluation of ϵK in the standard model with lattice QCD inputs

2018 ◽  
Vol 98 (9) ◽  
Author(s):  
Jon A. Bailey ◽  
Sunkyu Lee ◽  
Weonjong Lee ◽  
Jaehoon Leem ◽  
Sungwoo Park ◽  
...  
Keyword(s):  
Standard Model ◽  
Lattice Qcd ◽  
The Standard Model

scholarly journals D → Klv semileptonic decay using lattice QCD with HISQ at physical pion masses

2018 ◽  
Vol 175 ◽  
pp. 13027 ◽  
Author(s):  
Bipasha Chakraborty ◽  
Christine Davies ◽  
Jonna Koponen ◽  
G Peter Lepage
Keyword(s):  
Standard Model ◽  
Lattice Qcd ◽  
Semileptonic Decay ◽  
Light Quark ◽  
Form Factors ◽  
New Physics ◽  
Ckm Matrix ◽  
Quark Masses ◽  
The Standard Model ◽  
Fertile Ground

he quark flavor sector of the Standard Model is a fertile ground to look for new physics effects through a unitarity test of the Cabbibo-Kobayashi-Maskawa (CKM) matrix. We present a lattice QCD calculation of the scalar and the vector form factors (over a large q2 region including q2 = 0) associated with the D→ Klv semi-leptonic decay. This calculation will then allow us to determine the central CKM matrix element, Vcs in the Standard Model, by comparing the lattice QCD results for the form factors and the experimental decay rate. This form factor calculation has been performed on the Nf = 2 + 1 + 1 MILC HISQ ensembles with the physical light quark masses.

scholarly journals Neutron Electric Dipole Moment on the Lattice

2018 ◽  
Vol 175 ◽  
pp. 01014 ◽  
Author(s):  
Boram Yoon ◽  
Tanmoy Bhattacharya ◽  
Rajan Gupta
Keyword(s):  
Dipole Moment ◽  
Cp Violation ◽  
Lattice Qcd ◽  
Electric Dipole Moment ◽  
Electric Dipole ◽  
Beyond The Standard Model ◽  
Matrix Elements ◽  
The Standard Model ◽  
The Status ◽  
Good Probe

For the neutron to have an electric dipole moment (EDM), the theory of nature must have T, or equivalently CP, violation. Neutron EDM is a very good probe of novel CP violation in beyond the standard model physics. To leverage the connection between measured neutron EDM and novel mechanism of CP violation, one requires the calculation of matrix elements for CP violating operators, for which lattice QCD provides a first principle method. In this paper, we review the status of recent lattice QCD calculations of the contributions of the QCD Θ-term, the quark EDM term, and the quark chromo-EDM term to the neutron EDM.

Lattice QCD Results and Prospects

2003 ◽  
Vol 18 (supp01) ◽  
pp. 1-26
Author(s):  
Richard Kenway
Keyword(s):  
Standard Model ◽  
Lattice Qcd ◽  
Strong Interaction ◽  
Bound States ◽  
Leading Edge ◽  
Beyond The Standard Model ◽  
Quark Masses ◽  
The Standard Model ◽  
Quark Flavour ◽  
Computationally Intensive

In the Standard Model, quarks and gluons are permanently confined by the strong interaction into hadronic bound states. The values of the quark masses and the strengths of the decays of one quark flavour into another cannot be measured directly, but must be deduced from experiments on hadrons. This requires calculations of the strong-interaction effects within the bound states, which are only possible using numerical simulations of lattice QCD. These are computationally intensive and, for the past twenty years, have exploited leading-edge computing technology. In conjunction with experimental data from B Factories, over the next few years, lattice QCD may provide clues to physics beyond the Standard Model. These lectures provide a non-technical introduction to lattice QCD, some of the recent results, QCD computers, and the future prospects.

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