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We show that the renormalization factor relating the renormalization group invariant quark masses to the bare quark masses computed in lattice QCD can be determined non-perturbatively. The calculation is based on an extension of a…

High Energy Physics - Lattice · Physics 2009-10-30 S. Capitani , M. Guagnelli , M. Luescher , S. Sint , R. Sommer , P. Weisz , H. Wittig

We compute next-to-next-to-leading order corrections to the decay width difference of mass eigenstates and the charge-parity (CP) asymmetry $a_{\rm fs}$ in flavour-specific decays of neutral $B$ mesons. We include both current-current and…

High Energy Physics - Phenomenology · Physics 2026-04-01 Ulrich Nierste , Pascal Reeck , Vladyslav Shtabovenko , Matthias Steinhauser

Theories beyond the Standard Model must necessarily respect its gauge symmetry. This implies strict constraints on the possible models of non-standard neutrino interactions, which we analyze. The focus is set on the effective low-energy…

High Energy Physics - Phenomenology · Physics 2009-10-23 M. B. Gavela , D. Hernandez , T. Ota , W. Winter

Tensor currents are the only quark bilinear operators lacking a non-perturbative determination of their renormalisation group (RG) running between hadronic and electroweak scales. We develop the setup to carry out the computation in lattice…

High Energy Physics - Lattice · Physics 2018-08-15 Carlos Pena , David Preti

We report on a non-perturbative study of the scale-dependent renormalization factors of a multiplicatively renormalizable basis of Delta B=2 parity-odd four-fermion operators in quenched lattice QCD. We also present some preliminary results…

High Energy Physics - Lattice · Physics 2008-11-26 F. Palombi , M. Papinutto , C. Pena , H. Wittig

We construct the six dimensional Quantum Chromodynamics (QCD) Lagrangian in a linear covariant gauge and subsequently renormalize it at two loops in the MSbar scheme. The coupling constant corresponding to the gauge interaction is…

High Energy Physics - Theory · Physics 2016-02-17 J. A. Gracey

In these lectures, we discuss different types of renormalization problems in QCD and their non-perturbative solution in the framework of the lattice formulation. In particular the recursive finite size methods to compute the…

High Energy Physics - Phenomenology · Physics 2009-10-30 Rainer Sommer

TeV-scale lepton number violation can affect neutrinoless double beta decay through dimension-9 $\Delta L= \Delta I = 2$ operators involving two electrons and four quarks. Since the dominant effects within a nucleus are expected to arise…

High Energy Physics - Phenomenology · Physics 2017-04-19 V. Cirigliano , W. Dekens , M. Graesser , E. Mereghetti

We complete the calculation of the element $\Gamma_{12}^q$ of the decay matrix in $B_q-\bar{B}_q$ mixing, $q=d,s$, to order $\alpha_s$ in the leading power of the Heavy Quark Expansion. To this end we compute one- and two-loop contributions…

High Energy Physics - Phenomenology · Physics 2022-02-28 Marvin Gerlach , Ulrich Nierste , Vladyslav Shtabovenko , Matthias Steinhauser

We present the results of the first lattice QCD calculation of the $K \to \pi$ matrix elements of the chromomagnetic operator $O_{CM} = g\, \bar s\, \sigma_{\mu\nu} G_{\mu\nu} d$, which appears in the effective Hamiltonian describing…

High Energy Physics - Lattice · Physics 2018-04-11 M. Constantinou , M. Costa , R. Frezzotti , V. Lubicz , G. Martinelli , D. Meloni , H. Panagopoulos , S. Simula

Lattice QCD (LQCD) calculations predict that chiral symmetry is restored in a smooth crossover transition between a quark-gluon plasma and a hadron resonance gas (HRG) at vanishing net-baryon density, a condition realized in heavy-ion…

Nuclear Experiment · Physics 2025-10-14 Ilya Fokin

Theory predictions of heavy-hadron lifetime ratios critically depend on precise determinations of the dimension-six spectator effects arising from the double insertion of the weak effective $|\Delta B| = 1$ Hamiltonian. In the presence of…

High Energy Physics - Phenomenology · Physics 2025-04-16 Matthew Black , Martin Lang , Alexander Lenz , Zachary Wüthrich

We present one-loop perturbative results of the renormalization functions for a complete set of nonlocal quark bilinear operators containing an asymmetric staple-shaped Wilson line, using a family of improved lattice actions. This study is…

High Energy Physics - Lattice · Physics 2023-12-01 Gregoris Spanoudes , Martha Constantinou , Haralambos Panagopoulos

Numerical Stochastic Perturbation Theory was able to get three- (and even four-) loop results for finite Lattice QCD renormalization constants. More recently, a conceptual and technical framework has been devised to tame finite size…

High Energy Physics - Lattice · Physics 2015-06-17 Michele Brambilla , Francesco Di Renzo

Lattice simulations employing reweighting and Taylor expansion techniques have predicted a (\mu,T)-phase diagram according to general expectations, with an analytic quark-hadron crossover at \mu=0 turning into a first order transition at…

High Energy Physics - Phenomenology · Physics 2009-04-14 Owe Philipsen

We match continuum and lattice heavy-light four-fermion operators at one loop in perturbation theory. For the heavy quarks we use nonrelativistic QCD and for the massless light quarks the highly improved staggered quark action. We include…

High Energy Physics - Lattice · Physics 2014-10-02 Christopher Monahan , Elvira Gamiz , Ron Horgan , Junko Shigemitsu

We show that lepton number violating muon decays, \mu^+ -> e^+ + \nu_e-bar + \nu_i-bar (i=e, \mu or \tau), can consistently explain the neutrino anomaly reported by the LSND experiment. Two effective operators in the Standard Model are…

High Energy Physics - Phenomenology · Physics 2007-05-23 K. S. Babu , Sandip Pakvasa

In models with a low quantum gravity scale, one might expect sizable effects from nonrenormalizable interactions that violate the global symmetries of the standard model. While some mechanism must be invoked in such theories to suppress…

High Energy Physics - Phenomenology · Physics 2009-11-07 Carl E. Carlson , Christopher D. Carone

The recent lattice QCD calculations of the neutron and proton electric dipole moments (EDMs) and the CP-violating $\pi {\rm NN}$ coupling constant due to the $\theta$ term are reviewed. Progress towards nucleon EDM calculations, including…

High Energy Physics - Lattice · Physics 2024-11-26 Keh-Fei Liu

We analyse the top-quark decay at the next-to-next-to-leading order (NNLO) in QCD by using the Principle of Maximum Conformality (PMC) which provides a systematic way to eliminate renormalization scheme and scale ambiguities in perturbative…

High Energy Physics - Phenomenology · Physics 2023-02-08 Rui-Qing Meng , Sheng-Quan Wang , Ting Sun , Chao-Qin Luo , Jian-Ming Shen , Xing-Gang Wu